Two coils with self-inductances 1 H and 2 H having a mutual inductance of 1 H between them carry currents of 2 A and \sqrt2 A respectively. The total energy stored in the field, in joules, is

SSC JE Electrical Engineering 2011 Paper

Question : 102 of 150

Marks: +1, -0

Two coils with self-inductances 1 H and 2 H having a mutual inductance of 1 H between them carry currents of 2 A and

√2

A respectively. The total energy stored in the field, in joules, is

Solution:

L_1 = 1H, L_2 = 2H, M = 1H

I _1 = 2A, I_2 =√ 2A

Energy stored in two coils with mutual inductance, with both currents following into dotted ends.

w(t)-1/2L_1I^2_1+1/2L^2I^2_2+MI_2I_2

1/2 1.4+1/2 2.2+1.2.√2

2+2+2√2

2(2+√2)

Joules

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