Question

Two coils X and Y are placed in a circuit such that a current changes by 3 A in coil X and magnetic flux changes of 1.2 Wb occurs in Y. The value of mutual inductance of the coils is:

• A. 0.2 H
• B. 0.4 H
• C. 0.6 H
• D. 3.6 H

Hint:

$M = \fracΔ ΦΔ I}$.

Answer 1

The Correct Option is B

The problem involves finding the mutual inductance between two coils when a change in current in one coil causes a change in magnetic flux in the other coil. Let's break down the steps to solve this:

1. Understanding Mutual Inductance:
   • \(\Delta \Phi\) is the change in magnetic flux through the coil Y, measured in Weber (Wb).
   • \(\Delta I\) is the change in current through coil X, measured in Ampere (A).
2. Given Data:
   • \(\Delta \Phi = 1.2%\) Wb
   • \(\Delta I = 3%\) A
3. Calculating Mutual Inductance:
4. Conclusion:

We find that the correct answer is 0.4 H. This matches the provided correct answer option. The other options were incorrect because they either overestimate or underestimate the real mutual inductance calculated from the given data.