The current in the primary of a transformer is changing at the rate of 500 A/s and the EMF in the secondary is 30 V.The coefficient of mutual inductance of this transformer is
A)30 mH
B)60 mH
C)17 H
D)33 H
E)15 kH

Question

Quizplus · Accepted Answer

The formula to calculate the induced EMF in the secondary of a transformer is:

EMF_secondary = (Coefficient of Mutual Inductance) × (Rate of Change of Current in Primary)

EMF_secondary = M × (dI/dt)

Rearranging this formula, we get:

M = EMF_secondary / (dI/dt)

Substituting the given values, we get:

M = 30 V / 500 A/s = 0.06 H = 60 mH

Therefore, the coefficient of mutual inductance of this transformer is 60 mH. The correct answer is B.

The Current in the Primary of a Transformer Is Changing