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 $\Omega$)

In a circuit consisting of a capacitance and a generator with alternating emf $E_{g}=E_{g0} \sin \omega t$,$V_{C}$ and $I_{C}$ are the voltage and current. The correct phasor diagram for such a circuit is:

Capacitive reactance of a capacitor in an $AC$ circuit is $6 \ k\Omega$. If the same capacitor is connected to an $AC$ source of double the frequency,the capacitive reactance will become

The resistance offered by the inductor $(X_L)$ in an ac circuit is

If we decrease the frequency of the applied $A.C.$ with a purely capacitive load,do $(1)$ the amplitude of $V_c$ and $(2)$ amplitude of $I_c$ increase,decrease,or remain the same?

The equation of current in a purely inductive circuit is $i = 5 \sin (49 \pi t - 30^{\circ})$. If the inductance is $30 \, mH$,then the equation for the voltage across the inductor will be. (Let $\pi = \frac{22}{7}$)