At time t = 0, with no currents flowing, a voltage v(t) = 10 sin t is

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At time t = 0, with no currents flowing, a voltage v(t) = 10 sin t is applied to the primary circuit of a transformer that has a mutual inductance of 1 H, as shown in Figure 11.15. Denoting the current flowing at time t in the secondary circuit by i2(t), show that

L{i(t)} = 10s (s + 7s + 6) (s + 1)

and deduce that

12-61 i(t)=-e'+e cost + sin t

v(t) = 10 sint Figure 11.15 t=0 202 i, (t) 1H 2 H M = 1 H i(t) ]

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