Question Detail
Question
Let the emf in the primary coil of a transformer be e₁, and emf in the secondary coil of a transformer be e₂, then the mutual inductance M is
Correct Answer
Option C is the correct answer.
Detailed Explanation
Mutual inductance (M) relates the induced electromotive force (e.m.f) in one coil to the rate of change of current in a different (coupled) coil. The induced e.m.f in the secondary coil (e₂) is proportional to the rate of change of current in the primary coil (di₁/dt), and vice versa. The formula is e₂ = -M (di₁/dt) (or e₁ = -M (di₂/dt)). Therefore, M = -e₂ / (di₁/dt). The negative sign indicates Lenz's law (opposing the change).
Hint
Mutual inductance relates the induced EMF in one coil to the rate of change of current in the *other* coil.