Mean and r m s values in AC circuits; DC and AC circuits with R, L and C components; Series and parallel resonances; Quality factor; Principle of transformer.
Q 1. A resistor is connected in series with a capacitor of and a battery with emf . Before the switch is closed at time , the capacitor is uncharged. Calculate the following: (i) The time constant (ii) What fraction of the final charge is on the plates at the time (iii) What fraction of the initial current remains at the time Consider that the internal resistance of the battery is zero and neglect the resistance of all the connecting wires. [15 marks]
Q 2. A series RLC circuit has . The energy stored in the circuit decreases by 1% per period of oscillation. Its natural undamped frequency is . Determine the values of the inductor and the quality factor.[15 marks]
Video Solution at 11 pm