In a series $LCR$ circuit,$R = 18 \ \Omega$ and the impedance $Z = 33 \ \Omega$. An $RMS$ voltage of $220 \ V$ is applied across the circuit. The true power consumed in the $AC$ circuit is: (in $W$)

The current and voltage functions in an $AC$ circuit are:
$I = 100 \sin(100t) \, mA$
$V = 100 \sin(100t + \frac{\pi}{3}) \, V$
The power dissipated in the circuit is ...... $W$.

In an $AC$ circuit,$V$ and $I$ are given by $V = 150 \sin(150t) \, V$ and $I = 150 \sin(150t + \frac{\pi}{3}) \, A$. The power dissipated in the circuit is ....... $W$.

In an $AC$ circuit,$I = 5 \sin \left( 100t - \frac{\pi}{2} \right)$ and $V = 200 \sin 100t$. The power consumed is

$A$ $LCR$ series circuit driven with $V_{rms} = 90 \text{ V}$ at frequency $f_d = 30 \text{ Hz}$ has resistance $R = 80 \text{ }\Omega$,an inductance with inductive reactance $X_L = 20.0 \text{ }\Omega$ and capacitance with capacitive reactance $X_C = 80.0 \text{ }\Omega$. The power factor of the circuit is . . . . . . .

$A$ choke coil is connected to an $AC$ source of frequency $\frac{50}{\pi} \, Hz$. If the resistance of the coil is $1 \, \Omega$ and the inductance is $10 \, mH$,what would be the value of the power factor?