The current flowing in a coil is $3 \text{ A}$ and the power consumed is $108 \text{ W}$. If the a.c. source is of $120 \text{ V}, 50 \text{ Hz}$,the resistance in the circuit is (in $Omega$)

$A$ lamp is connected in series with a capacitor. Predict your observations for $dc$ and $ac$ connections. What happens in each case if the capacitance of the capacitor is reduced?

As shown in the figure,an inductor of inductance $L = 200 \, mH$ is connected to an $AC$ source of emf $220 \, V$ and frequency $f = 50 \, Hz$. The peak value of current is given by $\frac{\sqrt{a}}{\pi} \, A$. The value of $a$ is..........

The reactance of a coil when used in the domestic $AC$ power supply $(220 \, V, 50 \, Hz)$ is $50 \, \Omega$. The inductance of the coil is nearly: (in $H$)

Capacitive reactance of a capacitor in an $AC$ circuit is $3 \ k\Omega$. If this capacitor is connected to a new $AC$ source of double frequency,the capacitive reactance will become:

$A$ $70 mH$ inductor is connected to a $220 V, 50 Hz$ $AC$ supply. The rms value of the current in the circuit is: