Solenoids & electromagnets

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Intros
Lessons
  1. Introduction to Solenoids
  2. Introduction to Electromagnets
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Examples
Lessons
  1. Consider the 800-turn solenoid shown in the diagram below.

    Solenoids & Electromagnets.


    What is the current in the windings that would produce a magnetic field of 0.060T at the center of the solenoid?

    1. 3.0A
    2. 8.0 A
    3. 18 A
    4. 290 A
    1. Identify the magnetic field poles 1 and 2 of the current-carrying solenoid in the diagram below.
      Solenoids & Electromagnets.
      1. Which of the four arrows indicates the direction of the magnetic field when current flows in the solenoid shown below?

        Solenoids & Electromagnets.

        1. W
        2. X
        3. Y
        4. Z
        1. A coil of copper wire is wrapped around a compass as shown. Which way will the compass needle point when current flows through the coil?

          Solenoids & Electromagnets.
          1. W
          2. X
          3. Y
          4. Z
          1. A current of 4.3 A flows through a solenoid. The 620-turn solenoid is 14 cm long and has a 3.5 cm diameter.

            Solenoids & Electromagnets.


            What are the direction and magnitude of the magnetic field inside the solenoid?

            Solenoids & Electromagnets.
            Topic Notes
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            Introduction to Solenoids and Electromagnets

            Solenoids and electromagnets are fundamental components in modern technology, harnessing the power of electromagnetism. These devices utilize the principle of a current-carrying wire generating a magnetic field. Solenoids, typically consisting of a coil of wire wound around a cylindrical core, create a strong magnetic field when current flows through them. Electromagnets, on the other hand, are temporary magnets that can be turned on and off using electricity. The introduction video provides a comprehensive overview of these concepts, demonstrating their working principles and applications. Understanding solenoids and electromagnets is crucial as they form the basis for numerous technological advancements, from simple doorbells to complex industrial machinery. These devices play vital roles in various fields, including automotive systems, medical equipment, and robotics. Their ability to convert electrical energy into mechanical motion makes them indispensable in countless applications, driving innovation and efficiency in our increasingly electrified world.

            Understanding Solenoids

            A solenoid is a fundamental component in electromagnetism, consisting of a long coil of wire with many loops. This simple yet powerful device plays a crucial role in various applications, from automotive systems to industrial machinery. Understanding what a solenoid is and how it functions is essential for anyone interested in electrical engineering or physics.

            At its core, a solenoid is a current-carrying wire with many loops wound tightly around a cylindrical core. This configuration allows for the creation of a strong and uniform magnetic field within the coil. When an electric current flows through the wire, each loop contributes to the overall magnetic field, resulting in a field that is significantly stronger than what a single wire could produce.

            The magnetic field created within a solenoid is unique in its uniformity and strength. Unlike a straight wire, where the magnetic field weakens rapidly with distance, the field inside a solenoid remains relatively constant along its axis. This property makes solenoids particularly useful in applications requiring a consistent magnetic field over a specific area.

            To understand the polarity of a solenoid's magnetic field, we use the right-hand rule for solenoids. This rule is a simple yet effective method for determining the direction of the magnetic field. To apply the solenoid right hand rule, wrap your right hand around the coil with your fingers pointing in the direction of the current flow. Your thumb will then point in the direction of the magnetic field inside the solenoid, indicating the north pole.

            The strength of a solenoid's magnetic field can be calculated using a specific formula. This equation takes into account several factors that influence the field strength:

            B = μnI

            Where:

            • B is the magnetic field strength (in teslas)
            • μ is the permeability of free space (4π × 10 T·m/A)
            • n is the number of turns per unit length of the solenoid
            • I is the current flowing through the wire (in amperes)

            This formula demonstrates that the magnetic field strength is directly proportional to both the number of turns per unit length and the current. By increasing either of these factors, we can enhance the strength of the magnetic field produced by the solenoid.

            Solenoid examples can be found in numerous everyday devices and industrial applications. Some common uses include:

            • Electromagnetic door locks
            • Automotive starter motors
            • Hydraulic and pneumatic valves
            • MRI machines
            • Electromagnetic relays

            The versatility of solenoids stems from their ability to convert electrical energy into mechanical motion. When current flows through the coil, the resulting magnetic field can attract or repel a magnetic core or plunger, creating linear motion. This principle is utilized in solenoid valves, where the movement of the plunger controls the flow of fluids or gases.

            Understanding the right hand rule for solenoids is crucial for engineers and technicians working with these devices. It allows for quick and accurate determination of the magnetic field direction, which is essential for proper installation and troubleshooting of solenoid-based systems.

            In conclusion, solenoids are fascinating devices that demonstrate the intricate relationship between electricity and magnetism. Their ability to generate strong, uniform magnetic fields makes them indispensable in modern technology. Whether you're a student of physics, an aspiring engineer, or simply curious about the world around you, grasping the principles behind solenoids opens up a world of understanding about electromagnetism and its practical applications.

            Electromagnets: Principles and Construction

            An electromagnet is a fascinating device that combines the principles of electricity and magnetism to create a controllable magnetic field. Unlike permanent magnets, which maintain their magnetic properties constantly, electromagnets can be turned on and off by controlling the flow of electric current. This unique characteristic makes electromagnets incredibly versatile and widely used in various applications, from simple household devices to complex industrial machinery.

            At its core, an electromagnet consists of a long coil of wire that acts like a magnet when current flows through it. This arrangement is known as a solenoid, and it forms the basis of electromagnetic technology. The key difference between a solenoid and an electromagnet lies in the presence of an iron core within the coil. While a solenoid can generate a magnetic field on its own, the addition of an iron core significantly enhances the strength of the magnetic field, transforming it into a more powerful electromagnet.

            The construction of an electromagnet is relatively simple yet ingenious. It typically involves winding insulated copper wire around a central core, often made of soft iron. The iron core plays a crucial role in amplifying the magnetic field generated by the current-carrying wire. When an electric current passes through the coil, it creates a magnetic field around the wire. The iron core becomes magnetized in response to this field, aligning its own magnetic domains and dramatically increasing the overall magnetic field strength.

            One might wonder, "Do electromagnets have a north and south pole like permanent magnets?" The answer is yes. When current flows through the coil, it creates a magnetic field with distinct north and south poles, just like a bar magnet. The polarity of an electromagnet depends on the direction of current flow and can be reversed by changing the direction of the current.

            The relationship between current and magnetic field strength in electromagnets is direct and proportional. As the current flowing through the coil increases, the strength of the magnetic field also increases. This property allows for precise control over the magnetic field strength simply by adjusting the electric current. Additionally, the number of turns in the coil affects the field strength; more turns result in a stronger magnetic field for a given current.

            The iron core's effect on magnetic field strength cannot be overstated. Without an iron core, the magnetic field produced by a coil of wire (a solenoid) is relatively weak. However, introducing an iron core can increase the magnetic field strength by hundreds or even thousands of times. This is because iron is a ferromagnetic material, meaning it can be easily magnetized and can concentrate magnetic field lines within itself.

            The choice of core material and its properties significantly influence the electromagnet's performance. Soft iron is commonly used because it can be quickly magnetized when current flows and demagnetized when the current stops. This property allows for rapid switching of the electromagnet, which is essential in many applications. Other materials, such as steel alloys or ferrites, may be used depending on the specific requirements of the application.

            Electromagnets offer several advantages over permanent magnets. Their ability to be switched on and off provides greater control in various applications. The strength of an electromagnet can be easily adjusted by changing the current, allowing for dynamic control of magnetic force. This feature is particularly useful in applications such as electromagnetic cranes, where the lifting force needs to be precisely controlled.

            In conclusion, electromagnets represent a remarkable fusion of electrical and magnetic principles, offering controllable and powerful magnetic fields. Their construction, centered around a current-carrying coil and an iron core, allows for the creation of strong magnetic fields that can be easily manipulated. The direct relationship between current and magnetic field strength provides a level of control unattainable with permanent magnets. As technology continues to advance, the applications of electromagnets continue to expand, making them an indispensable component in modern engineering and technology.

            Applications of Solenoids and Electromagnets

            Solenoids and electromagnets play a crucial role in our daily lives and various industries, offering versatile and controllable magnetic solutions. These devices harness the power of electromagnetism to perform a wide range of functions, from simple household appliances to complex industrial machinery. In this section, we'll explore the diverse applications of solenoids and electromagnets, highlighting their importance in modern technology.

            One of the most common applications of electromagnets is in electric motors. These devices convert electrical energy into mechanical energy, powering everything from small toys to large industrial machines. In a motor, electromagnets create a rotating magnetic field that interacts with permanent magnets or other electromagnets, causing the rotor to spin. This principle is used in countless applications, including electric vehicles, power tools, and household appliances like washing machines and refrigerators.

            Conversely, generators utilize the same electromagnetic principles to convert mechanical energy into electrical energy. When a conductor moves through a magnetic field, it induces an electric current. This is the foundation of power generation in hydroelectric dams, wind turbines, and even bicycle dynamos. Large-scale power plants use massive electromagnets in their generators to produce electricity for entire cities and regions.

            Solenoids find extensive use in various switching and control applications. A solenoid valve, for instance, uses an electromagnet to open or close a valve, controlling the flow of liquids or gases. These are commonly found in irrigation systems, automotive fuel injection systems, and industrial process control. Similarly, solenoid switches are used in car starters, where they engage the starter motor when you turn the key.

            In the realm of safety and electrical protection, electromagnets play a vital role in circuit breakers. When an electrical fault occurs, the electromagnet in a circuit breaker detects the excess current and quickly breaks the circuit, preventing damage to electrical systems and reducing fire hazards. This application is crucial in both residential and industrial electrical systems.

            The medical field also benefits from electromagnet technology. MRI (Magnetic Resonance Imaging) machines use powerful electromagnets to generate detailed images of the human body. These machines can be precisely controlled and adjusted, allowing for non-invasive diagnostic procedures that have revolutionized medical imaging.

            In the transportation sector, electromagnets are used in maglev (magnetic levitation) trains. These high-speed trains use powerful electromagnets to levitate and propel the train, eliminating friction with the tracks and allowing for incredibly smooth and fast travel. This technology represents the cutting edge of public transportation and is being developed in several countries.

            Electromagnets are also essential in recycling and waste management industries. Large electromagnets are used to separate ferrous metals from other materials in recycling plants. These can be easily turned on and off, allowing for efficient sorting and processing of mixed waste materials.

            One of the key advantages of electromagnets over permanent magnets is their controllability. The strength of an electromagnet can be easily adjusted by changing the electric current flowing through it. This feature is particularly useful in applications where variable magnetic fields are required. For example, in electric guitar pickups, the ability to adjust the magnetic field allows musicians to fine-tune their instrument's sound.

            Moreover, electromagnets can be quickly turned on and off, a feature that permanent magnets lack. This property is crucial in applications like electromagnetic locks, where rapid engagement and disengagement are necessary for security purposes. It's also vital in computer hard drives, where electromagnets control the read/write heads with precision and speed.

            The versatility of electromagnets extends to scientific research and particle physics. Particle accelerators use enormous electromagnets to guide and accelerate subatomic particles to near-light speeds. These experiments help scientists uncover the fundamental laws of physics and explore the nature of matter and energy.

            In conclusion, solenoids and electromagnets are indispensable components of modern technology, finding applications across a wide spectrum of industries and everyday devices. Their ability to generate controllable magnetic fields makes them superior to permanent magnets in many scenarios, enabling precise control, variable strength, and rapid switching capabilities. As technology continues to advance, we can expect to see even more innovative applications of these versatile electromagnetic devices, further enhancing our daily lives and pushing the boundaries of scientific and industrial capabilities.

            Advantages and Limitations of Electromagnets

            Electromagnets offer several distinct advantages over permanent magnets, making them invaluable in various applications across industries. One of the primary electromagnet advantages is their variable strength capability. Unlike permanent magnets, which have a fixed magnetic field, electromagnets can be adjusted by altering the electric current flowing through them. This feature allows for precise control over the magnetic field strength, enabling users to fine-tune the magnet's power for specific tasks.

            Another significant benefit of electromagnets is their on/off capability. By simply controlling the flow of electricity, these magnets can be instantly activated or deactivated. This characteristic is particularly useful in applications requiring intermittent magnetic fields, such as in industrial sorting processes or magnetic locks. The ability to switch the magnetic field on and off provides greater flexibility and efficiency in operations compared to permanent magnets.

            Electromagnets also offer the advantage of reversibility. By changing the direction of the electric current, the polarity of the electromagnet can be reversed. This feature is crucial in applications like electric motors, where the ability to switch between attraction and repulsion is essential for creating rotational motion.

            Despite these benefits, electromagnets do have certain limitations and challenges. One of the primary electromagnet limitations is their dependence on a continuous power supply. Unlike permanent magnets, which maintain their magnetic field without external energy, electromagnets require a constant electric current to generate and maintain their magnetic field. This dependency on power can be a significant drawback in situations where a reliable electricity source is not available or where long-term operation is required.

            Power consumption is another important consideration when using electromagnets. The strength of an electromagnet is directly proportional to the amount of current flowing through its coils. To generate strong magnetic fields, electromagnets often require substantial amounts of electricity, which can lead to high energy costs in large-scale or continuous operations.

            Heat generation is a significant challenge associated with electromagnets. As electric current flows through the coils, it encounters resistance, which results in the production of heat. This heat can reduce the efficiency of the electromagnet and, in extreme cases, may damage the coils or surrounding components. Proper cooling systems or duty cycle management are often necessary to mitigate this issue, especially in high-power applications.

            The size and weight of electromagnets can also be a limitation in certain applications. To generate strong magnetic fields, electromagnets often require many turns of wire and large cores, which can make them bulky and heavy compared to permanent magnets of similar strength. This can be a disadvantage in applications where space and weight are critical factors, such as in portable devices or aerospace technology.

            Another challenge with electromagnets is the phenomenon known as residual magnetism. When the electric current is switched off, some magnetic field may remain in the core material, particularly if it's made of ferromagnetic substances. This residual magnetism can be problematic in applications requiring precise control over the magnetic field.

            In conclusion, while electromagnets offer significant advantages such as variable strength, on/off capability, and reversibility, they also come with limitations related to power consumption, heat generation, and size. Understanding these pros and cons is crucial for engineers and designers when choosing between electromagnets and permanent magnets for specific applications. By carefully considering these factors, one can harness the full potential of electromagnets while mitigating their limitations to create efficient and effective magnetic systems.

            Future Developments and Emerging Technologies

            The field of electromagnetic technology advancements is rapidly evolving, with current research and potential future developments promising to revolutionize various industries. Electromagnets and solenoids, fundamental components in many electrical and mechanical systems, are undergoing significant improvements and innovations. These advancements are set to enhance efficiency, reduce energy consumption, and expand the applications of electromagnetic devices across multiple sectors.

            One of the most exciting areas of research in electromagnetic technology is the development of high-temperature superconducting (HTS) materials. These materials, when used in electromagnets, can conduct electricity with zero resistance, leading to incredibly powerful magnetic fields with minimal energy loss. The future of solenoids may lie in the integration of HTS technology, potentially revolutionizing industries such as medical imaging, particle accelerators, and magnetic levitation transportation systems.

            Another promising avenue is the miniaturization of electromagnetic devices. Researchers are exploring ways to create micro-electromagnets and nano-solenoids, which could have profound implications for fields like nanotechnology, microfluidics, and miniaturized robotics. These tiny electromagnetic components could enable more precise control in microscopic environments, opening up new possibilities in drug delivery systems, lab-on-a-chip devices, and nanorobotics.

            Advancements in materials science are also contributing to the evolution of electromagnetic technology. The development of new magnetic materials with enhanced properties, such as higher magnetic saturation and improved thermal stability, is enabling the creation of more powerful and efficient electromagnets. These materials could lead to smaller, lighter, and more energy-efficient devices in applications ranging from electric vehicles to renewable energy systems.

            The integration of smart technologies and artificial intelligence with electromagnetic devices is another area of active research. Smart electromagnets and solenoids that can adapt to changing conditions, self-diagnose issues, and optimize their performance in real-time are on the horizon. This could significantly improve the reliability and efficiency of systems in industries such as manufacturing, automation, and aerospace.

            Emerging technologies like quantum sensing and spintronic devices are also poised to enhance or potentially replace current electromagnetic devices in certain applications. Quantum sensors, which exploit quantum mechanical effects to achieve unprecedented levels of sensitivity, could revolutionize fields such as geophysical exploration and navigation systems. Spintronics, which utilizes the spin of electrons in addition to their charge, may lead to more efficient and compact electromagnetic devices with reduced power consumption.

            As these advancements in electromagnetic technology continue to unfold, their impact on various industries is expected to be substantial. In the energy sector, more efficient electromagnets could improve the performance of wind turbines and enhance energy storage systems. In transportation, advanced electromagnetic systems could enable faster and more energy-efficient maglev trains and electric vehicles. The medical field could benefit from more precise and powerful MRI machines, while the computing industry might see improvements in data storage and processing capabilities.

            Conclusion

            In this exploration of solenoids and electromagnets, we've uncovered the fundamental principles that drive these fascinating electromagnetic devices. The introduction video provided a crucial foundation for understanding how magnetic fields generation are generated and manipulated. Solenoids, with their tightly wound coils, create powerful magnetic fields generation when electricity flows through them. Electromagnets, built on similar principles, offer the flexibility of controllable magnetic strength. These concepts are not just theoretical; they have numerous practical applications in our daily lives, from doorbells to industrial machinery. We encourage you to delve deeper into the world of electromagnetic applications, perhaps by experimenting with simple electromagnet projects at home or researching how these principles are used in advanced technologies. By grasping these concepts, you're opening doors to a deeper understanding of the electromagnetic forces that shape our modern world. Continue exploring, and you'll discover the endless possibilities that solenoids and electromagnets offer in various fields of study and industry.

            Introduction to Solenoids

            In this section, we will delve into the fascinating world of solenoids, exploring their structure, functionality, and the principles behind their operation. Solenoids are a fundamental component in electromagnetism, and understanding them is crucial for various applications in science and engineering.

            Step 1: Understanding the Basics of Solenoids

            A solenoid is essentially a long coil of wire that consists of many loops. To visualize this, imagine taking a pen or pencil and wrapping a wire around it multiple times. This simple setup forms a solenoid. The key characteristic of a solenoid is that the magnetic field within it is quite large. This is because the magnetic fields generated by the current in each loop of the wire add up, resulting in a strong overall magnetic field.

            Step 2: Structure and Magnetic Field of a Solenoid

            When you wrap a wire around a core, such as a pencil, you create a solenoid. The more loops or turns of wire you have around the core, the stronger the magnetic field produced by the solenoid. This is because each loop of wire carries current, and the magnetic fields generated by these currents combine to create a stronger overall magnetic field. Essentially, a solenoid acts like a magnet, with one end functioning as the North Pole and the other as the South Pole.

            Step 3: Determining the Poles of a Solenoid

            The North and South Poles of a solenoid depend on the direction of the current passing through the loops. Using the right-hand rule, you can determine the poles of the solenoid. Point your fingers in the direction of the current and curl them around the iron core of the solenoid. Your thumb will then point towards the North Pole. For instance, if the current is flowing upwards, your fingers should point upwards, and your thumb will indicate the North Pole.

            Step 4: Calculating the Magnetic Field of a Solenoid

            The magnitude of the magnetic field in a solenoid can be calculated using the formula: B = μ (I * N) / L. Here, μ is a constant (4π x 10 T·m/A), I is the current passing through the solenoid, N is the number of turns or loops, and L is the length of the solenoid. This formula helps in determining the strength of the magnetic field produced by the solenoid.

            Step 5: Practical Applications of Solenoids

            Solenoids have a wide range of applications in various fields. They are used in electromechanical devices such as relays, valves, and actuators. In these devices, the solenoid converts electrical energy into mechanical motion, making them essential components in automation and control systems. Additionally, solenoids are used in magnetic resonance imaging (MRI) machines, where they generate strong magnetic fields required for imaging.

            Step 6: Conclusion

            Understanding solenoids is crucial for anyone interested in electromagnetism and its applications. By grasping the basic principles of solenoids, their structure, and how to calculate their magnetic fields, you can appreciate their significance in various technological advancements. Solenoids play a vital role in making our lives easier by enabling the functionality of numerous devices and systems we rely on daily.

            FAQs

            Here are some frequently asked questions about solenoids and electromagnets:

            1. What is a simple solenoid?

            A simple solenoid is a coil of wire wound into a tightly packed helix. When an electric current passes through the wire, it generates a magnetic field that is strongest inside the coil. This magnetic field can be used to create motion or exert force on ferromagnetic objects.

            2. How do you determine the north and south pole of an electromagnet?

            You can determine the poles of an electromagnet using the right-hand rule: wrap your right hand around the coil with your fingers pointing in the direction of the current flow. Your thumb will point towards the north pole of the electromagnet.

            3. What is the difference between a solenoid and an electromagnet?

            While both use coils of wire to generate magnetic fields, the main difference is that an electromagnet typically includes a ferromagnetic core (usually iron) to intensify its magnetic field. A solenoid may or may not have a core and is often used to create linear motion when energized.

            4. Where are solenoids used?

            Solenoids are used in various applications, including: - Automotive systems (starters, fuel injection) - Hydraulic and pneumatic valves - Door locks and latches - Industrial automation - Medical equipment

            5. What happens if a wire has more loops in an electromagnet?

            Increasing the number of loops (turns) in an electromagnet's coil will strengthen its magnetic field, assuming the current remains constant. This is because each loop contributes to the overall magnetic field, making it more intense. However, adding more loops also increases the coil's resistance, which may require higher voltage to maintain the same current.

            Prerequisite Topics

            Understanding solenoids and electromagnets is a fascinating journey into the world of electromagnetism. While there are no specific prerequisite topics listed for this subject, it's important to recognize that a solid foundation in basic physics and electrical concepts can greatly enhance your comprehension of these devices. Familiarity with fundamental principles of electricity and magnetism will provide you with the necessary background to fully appreciate the intricacies of solenoids and electromagnets.

            Solenoids and electromagnets are essential components in many modern technologies, from simple doorbells to complex industrial machinery. These devices harness the power of electromagnetism to convert electrical energy into mechanical motion or to create strong magnetic fields. To truly grasp their functionality, it's beneficial to have a basic understanding of electrical circuits, current flow, and magnetic fields.

            Although not explicitly listed as prerequisites, concepts such as Ohm's law, electromagnetic induction, and the relationship between electricity and magnetism form the bedrock of knowledge for studying solenoids and electromagnets. These fundamental principles help explain how electric current flowing through a coil of wire can generate a magnetic field, which is the core principle behind both solenoids and electromagnets.

            Additionally, a basic grasp of materials science, particularly ferromagnetic materials, can provide valuable insights into how these devices are constructed and why certain materials are chosen for their cores. Understanding the properties of different metals and alloys used in solenoids and electromagnets can help you appreciate their design and efficiency.

            While not mandatory, familiarity with basic calculus and vector mathematics can be advantageous when delving deeper into the theoretical aspects of electromagnetic fields. These mathematical tools become particularly useful when analyzing the strength and direction of magnetic fields produced by solenoids and electromagnets.

            As you embark on your study of solenoids and electromagnets, remember that these devices represent a practical application of electromagnetic theory. The concepts you'll encounter build upon fundamental physics principles, illustrating how theoretical knowledge translates into real-world applications. By connecting these ideas to your existing understanding of physics and electrical phenomena, you'll be better equipped to grasp the intricacies of solenoids and electromagnets.

            In conclusion, while there are no specific prerequisites listed for this topic, a solid foundation in basic physics, electrical theory, and magnetism will significantly enhance your learning experience. As you progress in your studies, you'll find that solenoids and electromagnets serve as an excellent bridge between theoretical electromagnetic concepts and their practical applications in technology and engineering.

            In this lesson, we will learn:

            • Solenoids
            • Electromagnets
            • Application on electromagnets and Solenoids

            Notes:

            Solenoid
            • A long coil of wire consisting of many loops (or turns) of wire is called Solenoid.
            • The magnetic field within the solenoid is quite large since is the sum of the fields due to the current in each loop.
            • A solenoid acts like a magnet; one end can be considered the north pole and the other the south pole, depending on the direction of the current in the solenoid.
            • Using the right-hand rule, we can distinguish the north and south pole;


            • A long coil of wire consisting of many loops (or turns) of wire is called Solenoid.
            • The magnetic field within the solenoid is quite large since is the sum of the fields due to the current in each loop.
            • A solenoid acts like a magnet; one end can be considered the north pole and the other the south pole, depending on the direction of the current in the solenoid.
            • Using the right-hand rule, we can distinguish the north and south pole;

            • Solenoids & Electromagnets.
                • Wrap the right hand around the solenoid with the fingers in the direction of the conventional current.
                • The thumb points in the direction of the magnetic north pole. (thumb points “N” pole).

            • The following equation is applied to calculate the magnitude of the magnetic field of a solenoid;

            • B=μ0IN/lB = \mu_{0} IN / l


              Electromagnets

            • Iron-core solenoid: A piece of iron is placed inside a solenoid; the magnetic field is increased greatly because the iron becomes a magnet.

            • Solenoids & Electromagnets.

            • The resulting magnetic field is the sum of that due to the current and that due to the iron and can be hundreds or thousands of times that due to the current alone.
            • Applications;
                • Electromagnets are used in motors and generators to produce large magnetic fields.
                • Electromagnets are used as switches and circuit breakers.