An inductor of reactance $1 \Omega$ and a resistor of resistance $3 \Omega$ are connected in series to the terminals of a $10 \ V$ (rms) $AC$ source. The power dissipated in the circuit is (in $W$)

If a dielectric slab is inserted in the capacitor of the given $RC$ circuit,then the brightness of the bulb will:

For the $L-R$ circuit shown in the figure,calculate the phase angle in degrees if the frequency is $f = 100/\pi \ Hz$. The inductance is $L = 0.025 \ H$ and the resistance is $R = 5 \ \Omega$.

$A$ coil of inductive reactance $ \frac{1}{\sqrt{3}} \Omega $ and resistance $ 1 \Omega $ is connected to a $ 200 \ V, 50 \ Hz $ $AC$ supply. The time lag between maximum voltage and current is

In an $RL$ circuit,the reactance of the coil is $\sqrt{3}$ times the resistance. The phase difference between the voltage and the current is:

In the circuit shown,if the $emf$ of the source at an instant is $5 \, V$,and the potential difference across the capacitor at the same instant is $4 \, V$,then the potential difference across $R$ at that instant may be ..... $V$.