Electric generators & counter EMF (Back EMF)

Get the most by viewing this topic in your current grade. Pick your course now.

?
Intros
Lessons
  1. Introduction to motors and electric generators
  2. ac generator
  3. dc generator
  4. voltage Vs. Time graph ( ac generator Vs. dc generator)
  5. Counter emf (Back emf )
?
Examples
Lessons
  1. A motor is connected to a 12V dc supply and draws 5.0A when it first starts up. What will be the back emf when the motor is operating at full speed and drawing 1.2 A?
    1. 7.0 A
    2. 7.8 A
    3. 9.1 A
    4. 10.8 V
    1. A motor has an armature resistance of 3.5Ω\Omega and is connected to a 12.0V source. At full speed the current through the armature is 0.18A. what is the back emf at full speed?
      1. 0 V
      2. 0.63 V
      3. 11.4 V
      4. 12.0 V
      1. A dc motor is connected to a 12.0V power supply. When the armature is rotating, the current through it is 0.78A and the back emf is 10.6 V. What is the resistance of the armature?
        1. 1.4 Ω\Omega
        2. 1.8 Ω\Omega
        3. 14 Ω\Omega
        4. 15 Ω\Omega
        1. The load on an electric motor is gradually increased. Which of the following quantities decreases? (Input voltage remains constant.)
          1. current
          2. back emf
          3. armature resistance
          4. heat produced by armature
          1. The graph below shows the emf produced by an ac generator Vs. time. At which point in time is the rate of flux change in the generator the greatest?

            Electric Generator and Counter EMF

            1. a
            2. b
            3. c
            4. d
            Topic Notes
            ?

            Introduction to Electric Generators and Counter EMF

            Welcome to our exploration of electric generators and counter EMF! These fascinating concepts are crucial in understanding how we harness electricity. Electric generators convert mechanical energy into electrical energy, powering our homes and cities. As you'll discover in our introduction video, the process involves a key phenomenon called counter EMF, also known as back EMF. This opposing force plays a vital role in generator operation and efficiency. The video will guide you through the basics, making these complex ideas more accessible. You'll see how magnetic fields and moving conductors interact to create electricity, and how counter EMF affects this process. Understanding these principles is essential for grasping the fundamentals of electrical engineering and power generation. Whether you're a curious student or an aspiring engineer, this introduction will provide a solid foundation for further learning. Let's dive in and unravel the mysteries of electric generators and counter EMF together!

            Alternating Current vs Direct Current

            Alternating current (AC) and direct current (DC) are two fundamental types of electrical current, each with distinct characteristics and applications. Understanding the difference between these two forms of electricity is crucial for anyone working with electrical systems or studying electrical engineering.

            Alternating current, as the name suggests, periodically changes direction. In AC, the flow of electric charge reverses direction at regular intervals. The most common AC waveform is sinusoidal, with the current and voltage alternating between positive and negative values. The frequency of this alternation is typically 50 or 60 times per second (Hz) in most household and industrial power systems. AC is generated by AC generators, which are found in power plants and are the primary source of electricity in our homes and businesses.

            On the other hand, direct current flows consistently in one direction. In a DC circuit, electrons move from the negative terminal to the positive terminal of a power source. DC is produced by sources such as batteries, solar cells, and fuel cells. It's also the type of current used in many electronic devices and is essential for the operation of DC motors, which are found in various applications from electric vehicles to small household appliances.

            The choice between AC and DC depends on the specific application. AC is preferred for power transmission over long distances due to its ability to be easily transformed to different voltage levels, minimizing power losses. This is why our power grid operates on AC. Additionally, AC is used in household appliances like refrigerators and washing machines.

            DC, however, is indispensable in modern electronics. Computers, smartphones, and LED lighting all operate on DC power. In fact, many devices that plug into AC outlets actually contain internal power supplies that convert AC to DC for their operation. The automotive industry heavily relies on DC, with car batteries providing the necessary power for starting engines and running electrical systems.

            Interestingly, some modern technologies are bridging the gap between AC and DC. For instance, high-voltage direct current (HVDC) transmission is becoming more common for long-distance power transmission, offering advantages in certain scenarios over traditional AC transmission. Additionally, inverters and rectifiers allow for the conversion between AC and DC, enabling the integration of renewable energy sources like solar panels (which produce DC) into the AC power grid.

            In conclusion, both alternating current and direct current play vital roles in our electrified world. From the AC generators powering our cities to the DC motors driving our electric vehicles, understanding these two forms of electrical current is essential for navigating our increasingly electrified future.

            Electric Motors vs Electric Generators

            Electric motors and electric generators are two fascinating devices that play crucial roles in our modern world. While they may seem similar at first glance, they actually perform opposite functions when it comes to energy conversion. Let's dive into the world of these electromechanical marvels and explore how they work!

            Electric Motors: Turning Electricity into Motion

            An electric motor is a device that converts electrical energy into mechanical energy. In simpler terms, it takes electricity and turns it into motion. Here's how it works:

            • When electricity flows through the motor's coils, it creates a magnetic field.
            • This magnetic field interacts with permanent magnets inside the motor.
            • The interaction causes the motor's rotor to spin, creating mechanical energy.

            Imagine a toy car that runs on batteries. When you turn it on, the electric motor inside spins the wheels, making the car move. That's the power of an electric motor in action!

            Electric Generators: Motion into Electricity

            On the flip side, an electric generator does the opposite of a motor. It converts mechanical energy into electrical energy. Here's the basic principle:

            • A generator has a rotor that spins inside a stator with magnets.
            • As the rotor spins (mechanical energy), it creates a changing magnetic field.
            • This changing field induces an electric current in the coils (electrical energy).

            Think of a bicycle with a light powered by pedaling. As you pedal, you're actually turning a small generator that produces electricity to light up the bulb!

            Comparing Motors and Generators

            While motors and generators have opposite functions, they share many similarities in their construction:

            • Both have coils of wire and magnets.
            • Both rely on the principle of electromagnetic induction.
            • In many cases, the same device can act as both a motor and a generator.

            Energy Conversion: The Heart of the Matter

            The key difference between motors and generators lies in how they convert energy:

            • Motors: Electrical Energy Mechanical Energy
            • Generators: Mechanical Energy Electrical Energy

            This energy conversion is what makes these devices so valuable in our daily lives. Motors power everything from blenders to electric cars, while generators provide electricity in power plants and portable power sources.

            Real-World Examples

            To better understand these concepts, let's look at some everyday examples:

            • Electric Fan (Motor): Electricity powers the motor, which spins the blades to create airflow.
            • Wind Turbine (Generator): Wind spins the blades, turning a generator to produce electricity.
            • Electric Car (Both): It uses motors to drive the wheels and generators (through regenerative braking) to recharge the battery.

            The Importance of Motors and Generators

            These devices are fundamental to our modern way of life. They enable us to:

            • Power our homes and businesses with electricity from power plants.
            • Drive electric vehicles, reducing our reliance on fossil fuels.
            • Operate countless appliances and tools that make our lives easier.

            Understanding the principles behind electric motors and generators helps us appreciate the technology that surrounds us. From the smallest toy to the largest power plant, these devices continue to shape our world, converting energy in ways that power our modern lives. Next time you flip a switch or start your car, take a moment to marvel at the incredible science of energy conversion happening right before your eyes!

            AC Generator: Structure and Working Principle

            An AC generator, also known as an alternator, is a device that converts mechanical energy into electrical energy in the form of alternating current. Understanding its structure and working principle is crucial for anyone interested in electrical engineering or power generation. Let's explore the key components and operation of an AC generator in detail.

            Structure of an AC generator:

            1. Stator: The stationary part of the generator, typically containing a set of wire coils.
            2. Rotor: The rotating part, usually consisting of an electromagnet or permanent magnet.
            3. Slip rings: Conductive rings attached to the rotor's shaft, allowing for electrical connection to the rotating part.
            4. Brushes: Stationary conductors that maintain contact with the slip rings, transferring electrical current.
            5. Field windings: Coils of wire wrapped around the rotor, creating a magnetic field when current flows through them.
            6. Armature windings: Coils of wire in the stator where the alternating current is induced.

            Working principle of an AC generator:

            1. Mechanical energy input: The rotor is driven by an external mechanical force, such as a turbine or engine.
            2. Magnetic field creation: As the rotor spins, it creates a rotating magnetic field around the armature windings in the stator.
            3. Electromagnetic induction: The changing magnetic field induces an electromotive force (EMF) in the armature windings, according to Faraday's law of electromagnetic induction.
            4. Alternating current generation: The induced EMF alternates in polarity as the rotor's magnetic field changes direction, producing alternating current.
            5. Current collection: The generated current is collected through the slip rings and brushes, transferring it to the external circuit.

            The role of slip rings and brushes:

            Slip rings are essential components in AC generators, allowing for the transfer of electrical current between the rotating rotor and the stationary external circuit. These conductive rings are mounted on the rotor's shaft and rotate with it. Brushes, typically made of carbon or graphite, maintain constant contact with the slip rings, enabling a continuous electrical connection. This arrangement allows the alternating current generated in the rotor to be transmitted to the external circuit without the need for a fixed connection.

            Commutators vs. slip rings:

            It's important to note the difference between commutators and slip rings. While slip rings are used in AC generators, commutators are found in DC generators. A commutator is a segmented copper cylinder that reverses the direction of current flow in the external circuit, converting the alternating current produced in the armature into direct current. AC generators do not require this conversion, hence the use of slip rings instead of commutators.

            Step-by-step explanation of AC generation:

            1. The rotor, driven by mechanical energy, begins to rotate within the stator.
            2. The magnetic field of the rotor cuts through the armature windings in the stator.
            3. As the magnetic field changes, it induces an EMF in the armature windings.
            4. The induced EMF follows a sinusoidal pattern, alternating between positive and negative values.
            5. This alternating EMF produces an alternating current in the armature windings.
            6. The generated AC is collected through the slip rings and brushes.
            7. The alternating current is then transmitted to the external circuit for use or distribution.

            Factors affecting AC generator output:

            • Rotational speed: Higher speeds generally result in higher frequency and voltage output.
            • Number of magnetic poles: More poles can increase the frequency of the generated AC.
            • Strength of the magnetic field: A stronger field produces a higher induced EMF.
            • DC Generator: Structure and Working Principle

              A DC generator is an electrical machine that converts mechanical energy into direct current electrical energy. Understanding its structure and working principle is crucial for grasping the fundamentals of electrical engineering. The key components of a DC generator include the armature, field magnets, split-ring commutator, and brushes.

              The armature is the rotating part of the generator, typically made of coils of wire wound around an iron core. It's positioned between the poles of strong permanent magnets or electromagnets that create a magnetic field. As the armature rotates within this field, it cuts through the magnetic flux lines, inducing an electromotive force (EMF) in the coils according to Faraday's law of electromagnetic induction.

              The split-ring commutator is a crucial component that distinguishes DC generators from AC generators. It's a cylindrical structure made of two halves of a metal ring, insulated from each other and the shaft. Each half is connected to one end of the armature coil. As the armature rotates, the commutator also rotates, maintaining contact with stationary carbon brushes that collect the generated current.

              The working principle of a DC generator can be explained in several steps:

              1. Mechanical energy rotates the armature within the magnetic field.
              2. As the coil sides cut through the magnetic flux, an EMF is induced in them.
              3. The induced current in the armature coil alternates direction with each half-rotation.
              4. The split-ring commutator reverses the connection of the coil to the external circuit at the same instant the current in the coil reverses.
              5. This synchronization ensures that the current always flows in the same direction in the external circuit, producing direct current.

              The key difference between AC and DC generators lies in the method of current collection. AC generators use slip rings, which maintain a continuous connection to the armature coils, allowing the current to alternate in the external circuit. In contrast, the split-ring commutator in DC generators acts as a mechanical rectifier, converting the alternating current in the armature to direct current in the external circuit.

              To illustrate, imagine a simple DC generator with a single rectangular coil rotating between two magnetic poles. As the coil rotates, it experiences maximum magnetic flux when its plane is perpendicular to the field lines, and minimum flux when parallel. This variation in flux linkage induces a sinusoidal EMF in the coil. However, the split-ring commutator switches the connections every half-rotation, effectively "flipping" the negative half of the sine wave. The result is a pulsating but unidirectional current in the external circuit.

              The output of a basic DC generator with a single coil is not perfectly smooth. It resembles a series of positive pulses with some ripple. To produce a smoother DC output, practical generators use multiple coils offset at different angles. This arrangement, combined with a commutator with more segments, helps to overlap the pulses and reduce ripple in the output current.

              Various factors affect the performance of a DC generator:

              • The strength of the magnetic field
              • The number of armature coil turns
              • The speed of rotation
              • The design and material of the commutator and brushes

              Engineers can manipulate these factors to optimize the generator's output for specific applications. For instance, increasing the number of poles and armature coils can produce a higher and more stable voltage, while using stronger magnets can improve efficiency.

              In conclusion, the DC generator's ability to produce direct current relies heavily on the ingenious design of the split-ring commutator. This component, working in harmony with the rotating armature and stationary magnetic field, enables the conversion of mechanical energy into a steady flow of electric charge. Understanding these principles is essential for anyone working with electrical systems, from small-scale electronics to large power generation facilities.

            Counter EMF (Back EMF): Concept and Calculation

            Welcome to our exploration of counter EMF, also known as back EMF! This fascinating concept plays a crucial role in the world of electric motors and generators. Let's dive in and unravel its mysteries together.

            Counter EMF, short for counter electromotive force, is an induced voltage that opposes the applied voltage in an electric motor or generator. It's like a built-in resistance that naturally occurs when these devices are in operation. This phenomenon is essential for understanding how electric motors and generators function efficiently.

            To grasp counter EMF fully, we need to understand Lenz's law. Named after physicist Heinrich Lenz, this law states that an induced current always flows in a direction that opposes the change that caused it. In simpler terms, when a conductor moves through a magnetic field, it generates a voltage that tries to counteract its own motion. This is the essence of counter EMF.

            In electric motors, counter EMF has a significant impact on performance. As the motor spins faster, the counter EMF increases, effectively limiting the current flowing through the motor. This self-regulating mechanism helps prevent the motor from drawing excessive current and potentially damaging itself. It's like having a built-in speed governor!

            Let's look at an example calculation to better understand counter EMF. Imagine we have a DC motor with the following specifications:

            • Number of armature conductors: 100
            • Flux per pole: 0.02 Webers
            • Number of poles: 4
            • Speed: 1200 RPM

            The formula for calculating counter EMF (E) is:

            E = (PΦNZ) / (60A)

            Where:

            • P = Number of poles
            • Φ = Flux per pole in Webers
            • N = Speed in RPM
            • Z = Total number of armature conductors
            • A = Number of parallel paths (usually 2 for most DC motors)

            Plugging in our values:

            E = (4 × 0.02 × 1200 × 100) / (60 × 2) = 80 Volts

            This means that when our motor is running at 1200 RPM, it generates a counter EMF of 80 Volts. This induced voltage opposes the applied voltage, effectively reducing the net voltage across the motor's windings.

            The impact of counter EMF on motor performance is quite significant. As the motor speeds up, the counter EMF increases, which in turn reduces the current drawn by the motor. This relationship helps explain why an unloaded motor doesn't draw excessive current and burn out. It's a beautiful example of nature's self-regulating mechanisms at work!

            Counter EMF also plays a crucial role in motor control. By manipulating the applied voltage, we can control the motor's speed. When we increase the applied voltage, it overcomes the counter EMF, allowing the motor to accelerate. Conversely, reducing the applied voltage causes the motor to slow down as the counter EMF becomes more dominant.

            In generators, the principle of counter EMF is what allows us to convert mechanical energy into electrical energy. As we rotate the generator's shaft, it induces a voltage in the windings. This induced voltage is essentially the counter EMF, but in this case, it's the desired output rather than an opposing force.

            Understanding counter EMF is crucial for engineers and technicians working with electric motors and generators. It helps in designing more efficient motors, troubleshooting issues, and optimizing performance. For example, by measuring the counter EMF, we can indirectly determine a motor's speed without the need for additional sensors.

            As we wrap up our discussion on counter EMF, I hope you've gained a deeper appreciation for this fascinating concept. It's a perfect example of how understanding fundamental principles can

            Conclusion and Further Study

            In this article, we've explored the fascinating world of electric generators and the crucial concept of counter EMF. We've learned how generators convert mechanical energy into electrical energy, the role of Faraday's law, and the importance of magnetic fields. Understanding counter EMF is essential for grasping the efficiency and operation of electric generators. This knowledge forms the foundation for many modern technologies we rely on daily. To deepen your understanding, we encourage you to explore additional resources on electromagnetic induction and generator design. Watch our introductory video for a visual explanation of these key concepts. Whether you're a student, hobbyist, or professional, mastering these principles will enhance your grasp of electrical engineering. Continue your journey into the world of electric generators by experimenting with simple models or studying advanced applications in renewable energy. The more you learn, the more you'll appreciate the ingenuity behind these powerful machines that light up our world.

            Electric generators rely heavily on magnetic fields to function efficiently. By understanding the interaction between electric currents and magnetic fields, one can better appreciate the design and operation of these machines. This principle is not only fundamental in generators but also in many other electrical devices and technologies.

            Introduction to Motors and Electric Generators

            In this section, we will explore the fundamental concepts of motors and electric generators, focusing on the differences between alternating current (AC) and direct current (DC), the working principles of AC and DC generators, and the calculation of counter electromotive force (EMF). This guide will provide a step-by-step explanation to help you understand these concepts clearly.

            Step 1: Understanding Alternating Current (AC) and Direct Current (DC)

            The first step in understanding motors and electric generators is to differentiate between alternating current (AC) and direct current (DC). In an AC circuit, the direction of the current changes periodically. This means that sometimes the current flows in a clockwise direction and at other times it reverses and flows in an anticlockwise direction. On the other hand, in a DC circuit, the direction of the current remains constant. If the current flows in a clockwise direction, it will always flow from positive to negative.

            Examples of AC and DC devices include AC generators and DC motors, respectively. AC generators produce alternating current, while DC motors operate using direct current. Understanding these differences is crucial as it forms the basis for comprehending how motors and generators function.

            Step 2: Motor vs. Generator

            The next step is to understand the difference between an electric motor and an electric generator. An electric motor converts electrical energy into mechanical energy. For instance, consider a circuit connected to a battery and a coil placed between two poles of a magnet. When electricity passes through the coil, an electromotive force is generated, causing the coil to rotate and thus converting electrical energy into mechanical energy.

            Conversely, an electric generator works on the opposite principle. It converts mechanical energy into electrical energy. For example, if you rotate a coil placed between two poles of a magnet, the mechanical energy used to rotate the coil is converted into electrical energy, which can then be used to power a device such as a light bulb.

            Step 3: Working of AC and DC Generators

            Understanding how AC and DC generators work is essential. An AC generator produces alternating current by rotating a coil within a magnetic field. As the coil rotates, the direction of the induced current changes periodically, resulting in alternating current.

            A DC generator, on the other hand, produces direct current. It typically uses a commutator to ensure that the current flows in a single direction. As the coil rotates within the magnetic field, the commutator reverses the connection of the coil to the external circuit at appropriate intervals, maintaining a unidirectional current flow.

            Step 4: Calculating Counter EMF

            Counter electromotive force (EMF), also known as back EMF, is an important concept in the operation of motors and generators. It refers to the voltage that opposes the change in current in a circuit. In a motor, as the coil rotates within the magnetic field, it generates a voltage that opposes the applied voltage, reducing the net voltage across the motor and thus limiting the current.

            To calculate the counter EMF, you need to consider factors such as the speed of rotation of the coil, the strength of the magnetic field, and the number of turns in the coil. The formula for calculating counter EMF is given by:
            EMF = -N (dΦ/dt)
            where N is the number of turns in the coil, and dΦ/dt is the rate of change of magnetic flux.

            Step 5: Practical Applications and Examples

            To solidify your understanding, consider practical applications and examples of motors and generators. For instance, electric motors are used in various household appliances such as fans, washing machines, and refrigerators. Electric generators are used in power plants to produce electricity for homes and industries.

            By examining these real-world applications, you can better appreciate the importance of understanding the principles of motors and generators. Additionally, performing hands-on experiments, such as building a simple motor or generator, can provide valuable insights into their operation.

            Conclusion

            In conclusion, understanding the differences between AC and DC, the working principles of motors and generators, and the concept of counter EMF is crucial for anyone interested in electrical engineering. By following the steps outlined in this guide, you can build a solid foundation in these fundamental concepts and apply them to various practical applications.

            FAQs

            Here are some frequently asked questions about electric generators and counter EMF:

            1. What is the difference between AC and DC generators?

              AC generators produce alternating current, where the direction of electric flow periodically reverses. They use slip rings to collect current. DC generators produce direct current, which flows in one direction, using a split-ring commutator to convert the alternating current in the armature to direct current in the external circuit.

            2. How does counter EMF affect electric motor performance?

              Counter EMF acts as a self-regulating mechanism in electric motors. As the motor spins faster, the counter EMF increases, limiting the current flowing through the motor. This prevents the motor from drawing excessive current and potentially damaging itself, effectively acting as a built-in speed governor.

            3. What is the relationship between magnetic fields and electric generators?

              Magnetic fields are crucial for electric generators. The principle of electromagnetic induction, where a changing magnetic field induces an electric current in a conductor, is the foundation of generator operation. The strength and configuration of the magnetic field directly affect the generator's output and efficiency.

            4. How can one calculate counter EMF in a DC motor?

              Counter EMF (E) in a DC motor can be calculated using the formula: E = (PΦNZ) / (60A), where P is the number of poles, Φ is the flux per pole in Webers, N is the speed in RPM, Z is the total number of armature conductors, and A is the number of parallel paths (usually 2 for most DC motors).

            5. What are the key components of an AC generator?

              The key components of an AC generator include the stator (stationary part containing wire coils), rotor (rotating part with electromagnet or permanent magnet), slip rings (conductive rings on the rotor shaft), brushes (stationary conductors contacting slip rings), field windings (coils creating the magnetic field), and armature windings (where AC is induced).

            Prerequisite Topics

            Understanding the fundamental concepts that lay the groundwork for more advanced topics is crucial in physics, especially when delving into complex subjects like electric generators and counter EMF (Back EMF). Two key prerequisite topics that are essential for grasping this subject are electric currents produce magnetic fields and induced EMF and Lenz's law.

            The relationship between magnetic fields and electric currents forms the foundation of how electric generators function. When we understand that moving electric charges create magnetic fields, we can better comprehend the principles behind generator operation. This knowledge is crucial because generators essentially convert mechanical energy into electrical energy by exploiting the interaction between magnetic fields and moving conductors.

            Building upon this, the concept of induced EMF and Lenz's law becomes pivotal in explaining the phenomenon of counter EMF. Lenz's law states that an induced current will flow in a direction that opposes the change that caused it. This principle is directly applicable to electric generators, where the induced current creates a magnetic field that opposes the motion of the generator, resulting in the counter EMF effect.

            The interplay between these prerequisite topics and electric generators is fascinating. As the generator's rotor spins within a magnetic field, it induces an EMF in the coils. This process is governed by the principles of electromagnetic induction, which we learn about in the study of Lenz's law and induced current. The induced EMF then drives a current through the circuit, which, in turn, produces its own magnetic field according to the principles of electric currents produce magnetic fields.

            Counter EMF, or Back EMF, is a direct consequence of these interactions. As the generator produces electricity, the induced current creates a magnetic field that opposes the original field, effectively trying to slow down the rotor. This opposition is what we call counter EMF, and it's a perfect example of Lenz's law in action. Understanding this concept is crucial for engineers and physicists working with electric motors and generators, as it affects efficiency and power output.

            By mastering these prerequisite topics, students can develop a robust foundation for understanding more complex electromechanical systems. The knowledge of how magnetic fields and electric currents interact, combined with the principles of induced EMF and Lenz's law, provides the necessary tools to analyze and design efficient electric generators while accounting for the effects of counter EMF. This comprehensive understanding is not only academically rewarding but also practically valuable in various fields of engineering and technology.

            In this lesson, we will learn:

            • Alternating Current (ac) VS. Direct Current (dc)
            • Motor VS. Electric Generator
            • ac Generator Principles
            • dc Generator Principles
            • Counter emf (Back emf)

            Notes:



            Alternating Current (ac) VS. Direct Current (dc)


            ac: A current that changes its sense with time is called the alternating current. (Example; ac generator)

            Electric Generator and Counter EMF


            dc: A current that flows only in one direction is called the direct current. (Example; dc Motor)

            Electric Generator and Counter EMF


            Motor VS. Electric Generator

            Motor: transfers electrical energy into mechanical energy.


            Electric Generator and Counter EMF


            Electric generator or Dynamo:transforms mechanical energy into electrical energy.


            Electric Generator and Counter EMF


            AC generator: A generator that consists of many loops of wire wound around an armature that rotates in a magnetic field. The axle connected to the armature rotates by some mechanical means such as; falling water, steam turbine, etc. As the coil rotates, an emf is induced, therefore, an electric current is the output of the generator.

            The current in external circuit changes direction.


            Ac Generator Principles


            Assumption: the coil rotates in clockwise direction

            0-90
            As the coil rotates and moves to its vertical position side AB goes up and side CD goes down. The change in flux is maximum, therefore, the induced current is maximum.

            90-180
            The coil would be in its horizontal position, change in flux is zero, no induced current, so current does not change direction when the loop is parallel to the filed.

            180-270
            The loop is again in its vertical position, where the change in flux is maximum, the current is induced in the opposite direction.

            270- 360
            The loop is back to its horizontal position where there is no change in flux and no induced current.

            Electric Generator and Counter EMF


            Dc generator: A generator that consists of many loops of wire wound around an armature that rotates in a magnetic field. The coil is connected to a source of electricity. Since the coil is placed in a magnetic field, as the current flows through the coil, an electromotive force will be produced, thus mechanical energy would be the output of dc generator.

            dc Generator Principles


            0-90
            As the coil rotates and moves to its vertical position side AB goes up and side CD goes down. The change in flux is maximum, therefore, the induced current is maximum.

            90-180
            The coil would be in its horizontal position, change in flux is zero, no induced current, so current does not change direction when the loop is parallel to the filed.

            180-270
            The loop is gain in the vertical position, where the change in flux is maximum, current is induced.

            270- 360
            The loop is back to its horizontal position where there is no change in flux and no induced current.

            • The current in the external circuit always flows in one direction.
            • When the loop is in vertical position the brushes are in contact with the rings, maximum current flows through the external circuit.
            • When the loop is in horizontal position, the brushes are not in contact with the rings, no current flows through the external circuit.

            Electric Generator and Counter EMF



            Voltage Vs. Time Graph

            dc generator

            Electric Generator and Counter EMF


            ac Generator

            Electric Generator and Counter EMF



            Counter EMF (Back EMF)

            • Due to the rotation of the coil, the magnetic flux through the coil changes, thus, an induced EMF is produced.
            • According to the Lenz’s law, the induced EMF acts to oppose the motion which is called the Counter EMF or Back EMF.
            • The greater the speed of rotation, the greater the counter EMF.
            • If there is no load, the speed of the motor keeps on increasing till the back EMF will be equal to the input voltage.
            • As the mechanical load increases, the motor rotates at lower speed thus smaller back emf is produced.

            Example
            The armature of a dc motor has a resistance of 8.0 Ω \Omega . The motor is connected to a 110-V power supply, when the motor reaches its maximum speed the back emf is 90-V.

            1. Calculate the current in the motor as it starts up.
            2. Calculate the current when the motor reaches its highest speed.


            1. At the beginning the motor turns very slowly, so there is no back emf.

              I=VR=110V8.0Ω= I = \frac{V} {R} = \frac{110V}{8.0 \, \Omega} = 13.75 AA \simeq 14AA

            2. The motor is rotating at its full speed, the back emf is induced and should be included in the circuit,

            Electric Generator and Counter EMF


            VAcross  the  resistor=V_{Across\;the\;resistor} = 110 -90 = 20VV


            I=VR=20V8.0Ω= I = \frac{V} {R} = \frac{20V}{8.0 \, \Omega} = 2.5 AA