Two coils have a mutual inductance 0.005 H. The current

Two coils have a mutual inductance 0.005 H. The current changes in the first coil according to equation I = I₀ sin ωt, where I₀ = 10A and ω = 100π radian/sec. The maximum value of e.m.f. in the second coil is

e = - M	di
	dt

= - 0.005 ×	d(i₀ sinωt)
	dt

= –0.005 × i₀ ×(ω cos ωt)
e_max = –0.005 × i₀ × ω (when cos ω t = -1)
= 0.005 × 10 × 100π = 5π V