Current in the circuit is wattless, if

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(B) The average power consumed in an $AC$ circuit is given by the formula $P = V_{rms} I_{rms} \cos \phi$, where $\cos \phi$ is the power factor.Alter

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Resistance in the circuit is zero

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(B) The average power consumed in an $AC$ circuit is given by the formula $P = V_{rms} I_{rms} \cos \phi$, where $\cos \phi$ is the power factor.Alternatively, the power dissipated in a circuit is given by $P = I_{rms}^2 R$.$A$ current is said to be 'wattless' if the average power consumed by the circuit is zero $(P = 0)$.From the formula $P = I_{rms}^2 R$, it is clear that if the resistance $R$ of the circuit is zero, the power consumed will be zero, regardless of the current flowing through it.Therefore, the correct condition for a wattless current is that the resistance in the circuit must be zero.

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