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What is the value of resistor *R* inthe figure below, in which *I* = 8 A and Δ*V* = 34 V?

## Answer “What is the value of resistor *R* inthe figure below, in which *I* = 8 A and Δ*V* = 34 V?“

**Concepts**

**Ohm’s Law** is the main concept that solves the problem.

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Initially, use the parallel and series combinations to calculate the equivalent resistance. Later, you can use the ohm’s law. The magnitude of resistance can be calculated by substituting respective values.

**Fundamentals**

###### Ohm’s law is expressed as:

*V*=*IR*

Here, *V* is the voltage, *I* is the current, and *R* is the resistance.

The equivalent resistance in a parallel combination is calculated as follows:

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Here, *R*_{eq} is the equivalent resistance, *R*_{1} is the resistance1, *R*_{2} is the resistance 2, *R*_{3} is the resistance 3, and *R _{n}* is the resistance3.

**According to Ohm’s law, equivalent resistance is**

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**Substitute 34 V for V and 8 A for I in expression**

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**Ans:** The value of resistor R is 14.6Ω.

## Last words

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