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

The mutual inductance (M) of a system with two coils can be determined using the formula for the change in magnetic flux linkage:

ΔΦ=MΔI

In this formula:

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

Given a magnetic flux change (ΔΦ) of 15 Wb and a current change (ΔI) from 0 A to 10 A, the calculation proceeds as follows:

1. State the given values:
   • \(ΔΦ=15\ Wb\)
   • \(ΔI=10 \ A−0 \ A=10 \ A\)
2. Calculate the mutual inductance using the formula:

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

The simplified result is:

\(M=1.5 H\)

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