Question

Two coils X and Y have self-inductances of 5 mH and 10 mH and mutual inductance of 3 mH. If the current in coils X change at a steady rate of 100 A/s, the emf induced in coil Y is ____________

(a) 0.3 V

(b) 0.5 V

(c) 1 V

(d) 1.5 V

I had been asked this question by my college professor while I was bunking the class.

My query is from Series-Parallel Interconnection of Two Port Network topic in section Two-Port Networks of Network Theory

Answer 1

The correct option is (a) 0.3 V

Explanation: The emf is given by,

V = M\(\frac{di}{dt}\)

= \(\frac{3}{1000}\) X 100 = 0.3 V

Hence, the emf induced in coil Y is given by 0.3 V.