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(A) In an $AC$ circuit, the power dissipated is given by the formula $P = V_{rms} I_{rms} \cos \phi$, where $\phi$ is the phase angle between voltage

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(A) In an $AC$ circuit, the power dissipated is given by the formula $P = V_{rms} I_{rms} \cos \phi$, where $\phi$ is the phase angle between voltage and current.For a purely inductive circuit, the phase difference between voltage and current is $\phi = 90^\circ$.The power factor is $\cos 90^\circ = 0$.Since the coil is made of a superconducting material, its resistance $R = 0$.Therefore, the power dissipated in the coil is $P = I^2 R = I^2 	imes 0 = 0$.

$A$ coil of inductance $L$ has an inductive reactance of $X_L$ in an $AC$ circuit in which the effective current is $I$. The coil is made from a superconducting material and has no resistance. The rate at which power is dissipated in the coil is

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