Given : \(n =10\) turns, \(R _{\infty \text { il }}=20 \Omega, R _{ G }=30 \Omega\), Total resistance in the circuit \(=20+30=50 \Omega\).

\(A =10^{-2} m ^2, B =10^{-2} T , \phi_1=0^{\circ}, \quad \phi_2=60^{\circ}\)

\(q =\frac{\phi_1-\phi_2}{ R }=\frac{ BnA \cos \theta_1- BnA \cos \theta_2}{ R } \)

\(=\frac{ BnA (\cos 0-\cos 60)}{ R }=\frac{ BnA (1-0.5)}{ R }\)

\(=\frac{0.5 \times 10^{-2} \times 10 \times 10^{-2}}{50}=\frac{50 \times 10^{-5}}{50}=1 \times 10^{-5}\,C\)

(Charge induced in a coil)