Two coils have L₁=4 H, L₂=9 H and k=0.5. The current in coil 1 is I₁=6t² A. Determine the magnitude of mutually induced EMF in coil 2 at t=2 s, in volt.
Physics · Electromagnetic Induction · Mutual Inductance
JEE Mains NEET

Question

Two coils have L₁=4 H, L₂=9 H and k=0.5. The current in coil 1 is I₁=6t² A. Determine the magnitude of mutually induced EMF in coil 2 at t=2 s, in volt.

G1 Physics · Accepted Answer

M=k√(L₁L₂)=3 H. dI₁/dt=12t=24 A/s at t=2 s. Thus |ε₂|=M|dI₁/dt|=3×24=72 V.