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Chapter 16: Problem 68

The EMF induced in a 1 millihenry inductor in which the current changes from \(5 \mathrm{~A}\) to \(3 \mathrm{~A}\) in \(10^{-3}\) second is (A) \(2 \times 10^{-6} \mathrm{~V}\) (B) \(8 \times 10^{-6} \mathrm{~V}\) (C) \(2 \mathrm{~V}\) (D) \(8 \mathrm{~V}\)

Short Answer

Expert verified
The EMF induced in the 1 millihenry inductor when the current changes from 5 A to 3 A in \(10^{-3}\) seconds is \(\textbf{2 V}\). The correct answer is (C).

Step by step solution

01

Write down the given information

Start by writing down the given information. Inductor's inductance, L = 1 millihenry = 0.001 H Initial current, I_initial = 5 A Final current, I_final = 3 A Time taken for the change in current, 螖t = 10^(-3) s
02

Calculate the change in current (螖I)

Calculate the difference between the final and initial current. 螖I = I_final - I_initial 螖I = 3 A - 5 A 螖I = -2 A
03

Calculate the induced EMF (V) using the formula

Using the formula, substitute the values of L, 螖I, and 螖t. Induced EMF (V) = -L * 螖I/螖t V = -(0.001 H) * (-2 A) / (10^(-3) s)
04

Simplify and find the answer

Simplify the expression to find the induced EMF. V = 2 H * 1 A / 10^(-3) s V = 2 V The induced EMF is 2 V. The correct answer is (C) 2 V.

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