Practice portal › Electromagnetic Induction › Mutual Inductance

A pair of adjacent coils has a mutual inductance of 1.5 H. If the current in one coil changes from 0 to 20 A in 0.5 s, what is the change of flux linkage with the other coil?

Asked in GUJCET 2021 · Mutual inductance and induced EMF

• (1) 15 Wb
• (2) 45 Wb
• (3) 30 Wb
• (4) 60 Wb

Step-by-step solution

Why the other options are wrong

• (1) Comes from multiplying by the time as well: 1.5×20×0.5=15. The flux linkage depends only on the current, Δ(NΦ)=M Δ I; the time does not enter.
• (2) No single slip produces 45 Wb. Sanity check: M Δ I=1.5×20=30 Wb.
• (4) Comes from dividing by the time: (1.5×20)/(0.5)=60. That is the average induced emf in volts, not the change in flux linkage.

Reading this solution needs no sign-in. You only sign in to practise against the clock and keep your progress.