A pair of coupled inductors have L1 3:6H; L2 2:5H, and k 1:0. When

A pair of coupled inductors have L1 ¼ 3:6H; L2 ¼ 2:5H, and k ¼ 1:0. When the output terminals are open-circuited

ði2ðtÞ ¼ 0Þ, the output voltage is observed to be v2ðtÞ ¼

30 sin 1000t V. Find the input voltage v1ðtÞ for additive coupling.