# Voltage divider method

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###### Topic Notes

In this lesson, we will learn:

- A review on Ohm’s Law and how to manipulate the equation (V=IR) to solve for voltage, current, and resistance.
- How to solve problems for voltage and resistance with a shortcut equivalent of Ohm’s Law; the Voltage Divider Method general formula we will be using is:
- What is the relationship between voltage, current, and resistance?
- $V_{x} = V_{total} \, \cdot \, \frac{R_{x}} {R_{total}}$
- When and how to use the Voltage Divider Method to skip to solving questions for voltage and/or resistance without having to first solve for current.
- How we can use the Voltage Divider Method to supplement Ohm’s Law to help us in this chapter

__Notes:__- The
is a formula we can utilize as a shortcut to**Voltage Divider Method**$(V=IR)$ in certain cases—when the electric circuit question is asking for voltage and/or resistance, it is no longer necessary to solve for the electric current before calculating the voltage across center resistors.**Ohm’s Law** - The
for the**general formula**is as follows:**Voltage Divider Method** - $V_{x} = V_{total} \, \cdot \, \frac{R_{x}} {R_{total}}$
- Where:
- $V_{x}$ is the voltage drop across a particular resistor $x$
- $V_{total}$ is the total voltage of the circuit supplied by the battery/source
- $R_{x}$ is the resistance of a particular resistor $x$
- $R_{total}$ is the total, combined sum of resistances of the circuit
- In some cases, we will want to apply the
to only a section of the circuit (i.e. the parallel component only)—not to the entire circuit**voltage divider** - In those cases, the total voltage will reflect the voltage amount of that portion only (i.e. the equivalent parallel resistance; $V_{parallel}$)
- And, the total resistance will reflect the sum of resistances of that portion only (i.e. $R_{parallel}$)
- In other words, you would replace the variables with “total” subscripts with the portion amount only (i.e. $V_{total}$ = $V_{parallel}$ and $R_{total}$ = $R_{parallel}$)
- If the question provides the current $I$ as a given, it usually hints that one or more parts of the question will not require the
(since the voltage divider formula does not include current)__voltage divider__ - If the question asks to solve for the current, it will require
($V=IR$) and can be supplemented by the__Ohm’s Law__depending on the question__voltage divider method__

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