Two coils have a mutual inductance 0.005 H . The current changes in the first coil according to equation I = I 0 sin ⁡ ω t , where I 0 = 10 A and ω = 100 π rad s - 1 . The maximum value of emf in the second coil is

Step-by-step solution

emf, induced in second coil e = M d I d t ⇒ e = M d d t I 0 sin ⁡ ω t = M I 0 ω cos ⁡ ω t ⇒ e = 0.005 × 10 × 100 π cos ⁡ ω t ⇒ e = 5 π cos ⁡ ω t , e m a x = 5 π (emf is maximum for cos ⁡ ω t = 1 )