Question

In a pair of adjacent coils, for a change of current in one of the coils from 0 A to 10 A in 0.25 s, the magnetic flux in the adjacent coil changes by 15 Wb. The mutual inductance of the coils is ________.
Fill in the blank with the correct answer from the options given below

• A. 120 H
• B. 12 H
• C. 1.5 H
• D. 0.75 H

Answer 1

The Correct Option is C

To determine the mutual inductance (M) of a system involving two coils, we can use the formula related to the change in magnetic flux linkage:

ΔΦ=MΔI

where:

• ΔΦ is the change in magnetic flux in the adjacent coil.
• ΔI is the change in current in the first coil.
• M is the mutual inductance.

Given that the magnetic flux change (ΔΦ) is 15 Wb and the change in current (ΔI) is from 0 A to 10 A, the calculation steps are as follows:

1. Identify the given values:
   • \(ΔΦ=15\  Wb\)
   • \(ΔI=10 \ A−0 \ A=10 \ A\)
2. Apply the formula for mutual inductance:

\(M=\frac {ΔΦ}{ΔI}=\frac {15 \ Wb}{10 \ A}\)

This simplifies to:

\(M=1.5 H\)

Thus, the mutual inductance of the coils is 1.5 H.