A pair of adjacent coils has a mutual inductance of 2 H. If the current in one coil changes from 0 to 30 A in 0.15 s, what is the change of flux linkage with the other coil?

Question

Accepted Answer

(3) 60 Wb. Given: M=2 H, Δ I=30-0=30 A, Δ t=0.15 s. Idea: mutual inductance is defined by N₂Φ₂=MI₁, so the flux linkage with the second coil follows the current in the first. The change is therefore Δ(N₂Φ₂)=M Δ I₁=2×30; the time does not enter a flux linkage at all. So the change of flux linkage is 60 Wb. (The time would matter only for the emf, (60)/(0.15)=400 V, which the question does not ask for.)

A pair of adjacent coils has a mutual inductance of 2 H. If the current in one coil changes from 0 to 30 A in 0.15 s, what is the change of flux linkage with the other coil?

Step-by-step solution

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