Two cells of emf 2E and E with internal resistance r? and r? respectively are connected in series to an external resistor R (see figure). The value of R, at which the potential difference across the terminals of the first cell becomes zero is:

 

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 + $\frac{\pi }{3}$ )