Two coils have a mutual inductance 0.005 H. The current changes in the first coil according to the equation I=I₀ sin ω t, where I₀=10 A and ω=100π rad s⁻¹. The maximum value of the emf in the second coil is

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(2) 5π. The emf induced in the second coil is ε=-M(dI)/(dt). (dI)/(dt)=I₀ω cos ω t, whose largest magnitude is I₀ω. εₘₐₓ=MI₀ω=0.005×10×100π=5π V. That is about 15.7 V.

Two coils have a mutual inductance 0.005 H. The current changes in the first coil according to the equation I=I₀ sin ω t, where I₀=10 A and ω=100π rad s⁻¹. The maximum value of the emf in the second coil is

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