For circuits used for transporting electric power,a low power factor implies . . . . . . .

The $r.m.s.$ current in an $AC$ circuit is $2 \ A$. If the wattless current is $\sqrt{3} \ A$,what is the power factor?

$A$ lamp consumes only $50 \%$ of maximum power in an $AC$ circuit. What is the phase difference between the applied voltage and the circuit current?

The instantaneous values of alternating current and voltage in a circuit are given as $I = \frac{1}{\sqrt{2}} \sin(100\pi t)$ and $E = \frac{1}{\sqrt{2}} \sin(100\pi t + \frac{\pi}{3})$. The average power in watts consumed in the circuit is:

$A$ series $LCR$ circuit is connected to an a.c. source of $230 \ V, 50 \ Hz$. The circuit contains a resistance of $80 \ \Omega$,an inductor having inductive reactance $70 \ \Omega$,and a capacitor of capacitive reactance $130 \ \Omega$. The power factor of the circuit is $x$. The value of $x$ is

In a series $LCR$ circuit, the resistance is $18 \text{ } \Omega$ and the impedance is $33 \text{ } \Omega$. An r.m.s. voltage of $220 \text{ V}$ is applied across the circuit. The true power consumed in the circuit is: (in $\text{ W}$)