COMEDK 2023 Shift 1 Paper

To find the mutual inductance (M) between the two coils given the induced emf (voltage change) in the secondary coil when the current in the primary coil changes, we can use the formula for induced emf due to mutual inductance:
emf=−M‌

∆I

∆t

where:
emf is the induced electromotive force (in volts, V )
M is the mutual inductance between the coils (in henries, H )
∆I is the change in current (in amperes, A )
∆t is the time over which the current changes (in seconds, s )
Given values are:
‌emf=1V

‌∆t=100 milliseconds =100×10−3 s=0.1 s
Plugging these values into the formula, we solve for M :
‌1=−M‌

−2

0.1

‌M=‌

1

2

×0.1
‌M=0.05H
Therefore, the mutual inductance of the two coils is 0.05H, which corresponds to Option D.