25. Alternating Current question bank (Physics)

In an $LCR$ series circuit,when $L$ is removed from the circuit,the phase difference between voltage and current is $\frac{\pi}{3}$. If $C$ is removed from the circuit instead of $L$,the phase difference is again $\frac{\pi}{3}$. The power factor of the circuit is $(\tan 60^{\circ}=\sqrt{3})$.

The coil of an $A.C.$ generator has $100$ turns, each of cross-sectional area $2 \, m^2$. It is rotating at a constant angular speed of $30 \, rad/s$ in a uniform magnetic field of $2 \times 10^{-2} \, T$. If the total resistance of the circuit is $600 \, \Omega$, then the maximum power dissipated in the circuit is: (in $W$)