Alternating Current Questions

A $40\mu \text{F}$ capacitor is connected to a $200\text{V}$, $50\text{Hz}$ ac supply. The rms value of the current in the circuit is, nearly:

A series LCR circuit is connected to an ac voltage source. When L is removed from the circuit, the phase difference between current and voltage is $\pi /3$. If instead C is removed from the circuit, the phase difference is again $\pi /3$ between current and voltage. The power factor of the circuit is: