Assertion: Average value of current in half cycle of an $AC$ Circuit cannot be zero.

Reason: For positive half-cycle average value of current is $\frac{2}{\pi }{i}_0$ 

Assertion: An $AC$ can be transmitted over long distances without much power loss.

Reason: An $AC$ can be stepped up or down with the help of a transformer.

Assertion: In $L-C-R$ series $AC$ circuit  $X_{\mathrm{L}}=X_{\mathrm{C}}=R$ at a given frequency. When this frequency is doubled, the impedance of the circuit is $\frac{\sqrt{13}}{2}R$.

Reason: The given frequency is resonance frequency.

Assertion: At resonance power factor of series $L-C-R$ circuit is zero.

Reason: At resonance current function and voltage functions are in the same phase.