Target Exam

CUET

Subject

Physics

Chapter

Electromagnetic Induction

Question:

The mutual inductance of two co-axial coils is 2 H. If the current in one coil changes uniformly from zero to 1.0 A in 100 ms, the emf induced in the other coil is

Options:

10 V

20 V

-10 V

-20 V

Correct Answer:

20 V

Explanation:

The correct answer is Option (2) → 20 V

Given:

Mutual inductance $M = 2 \, H$

Current change: $\Delta I = 1.0 \, A$

Time interval: $\Delta t = 100 \, ms = 100 \times 10^{-3} \, s = 0.1 \, s$

Formula:

$\varepsilon = M \cdot \frac{\Delta I}{\Delta t}$

Substitute values:

$\varepsilon = 2 \cdot \frac{1}{0.1}$

$\varepsilon = 20 \, V$

Answer: The induced emf is $20 \, V$.