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

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

Concepts

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

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:

Here, R_eq​ is the equivalent resistance, R₁​ is the resistance1, R_2​ is the resistance 2, R₃​ is the resistance 3, and R_n​ is the resistance3.

According to Ohm’s law, equivalent resistance is

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

Ans: The value of resistor R is 14.6Ω.

Last words

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