Alternating Current

A circuit is made up of resistance 3 Ω and inductance 0.01 H. An alternating emf of 100 V at 50 Hz is connected, then the phase difference between the current and the emf in the circuit is

A radioactive sample decays by 63% of its initial value in 10s. It would have decayed by 50% of its initial value in :-

A coil has resistance of 30 ohm and inductive reactance 20 ohm at 50 Hz frequency. If an ac source of 200 V, 100 Hz is connected across the coil, current in coil will be

Two bodies of mass 10 kg and 2 kg are moving with velocities m/s and m/s respectively. The velocity of their centre of mass is

A capacitor having capacitance of 100 µF is charged with a potential difference of 12 V is connected to an inductor of inductance 10 mH. Find the maximum current through the inductor.

In AC circuit with source voltage e = 20 sin 1000 t is connected to series L – R circuit whose power factor is $\frac{1}{\sqrt[]{2}}$ . If E = 25 sin 2000 t, the new power factor is

Find average power in electric circuit if source voltage (V) = 20sin(100wt) and current in the circuit (I) = 2sin(100wt + $\frac{\pi }{3}$ )

In a series $C-R$ circuit shown in figure, the applied voltage is $10V$ and the voltage across $R$ the capacitor is found to be . The voltage across and the phase difference between current and the applied voltage will be respectively.

In a series $C-R$ circuit shown in figure, the applied voltage is $10V$ and the voltage across the capacitor is found to be . The voltage across $R$ and the phase difference between current and the applied voltage will be respectively.

An inductor of 0.5 mH, a capacitor of 200 $\mu F$ and a resistor of 2 $\Omega$  are connected in series with a 220V ac source. If the current is in phase with the emf, the frequency of ac source will be__________ * 10² Hz.