Question Detail

PHY 102 Test Compilation PHY 102 15 Objective Question

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
Options
A M = -e₁ / (di₁/dt)
B M = -e₂ / (dt/di₁)
C M = -e₂ / (di₁/dt)
Correct Answer
D M = -e₁ / (dt/di₂)
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.

Question Info