Physics

Problem

Two coils have self-inductances

L_1 = 0.5\,\text{H}

and

L_2 = 2.0\,\text{H}

. Their coefficient of coupling is

k = 0.80

. The current in the primary varies with time as

I = 3t^{2} + 2t

(in amperes,

t

in seconds). The magnitude of the emf induced in the secondary at

t = 1\,\text{s}

is a)

8.0\,\text{V}

4.8\,\text{V}

6.4\,\text{V}

5.6\,\text{V}