A semicircular loop of radius r is placed on the axis of a current-carrying circular ring of radius R, with R≫r, at distance R√3 from the ring centre. The planes make an angle 53°. If the mutual inductance is 3µ₀πr²/(16nR), find n.
Physics · Electromagnetic Induction
JEE Advanced

Question

A semicircular loop of radius r is placed on the axis of a current-carrying circular ring of radius R, with R≫r, at distance R√3 from the ring centre. The planes make an angle 53°. If the mutual inductance is 3µ₀πr²/(16nR), find n.

Physics · Electromagnetic Induction

G1 Physics · Accepted Answer

Use εₗ=−L(dI/dt), U=½LI², and for mutual induction ε₂=−M(dI₁/dt). Applying the stated geometry/circuit condition gives 10.