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An L-C-R series circuit with L = 0.120 H, R = 240 a , and C = 7.30muF carries an rms current of 0.450 A with a frequency of 400 Hz . (a) What are the phase angle and power factor for this circuit? (b) What is the impedance of the circuit? (c) What is the rms voltage of the source? (d) What average power is delivered by the source? (e) What is the average rate at which electrical energy is converted to thermal energy in the resistor? (f) What is the average rate at which electrical energy is dissipated ( converted to other forms) in the capacitor? (g) In the inductor ?

3.0 A current passing through Two batteries of different emf and internal resistances connected in series with each other and with an external load resistor. The current reversed, the current becomes 1.0 A. the ratio of the emf of the two batteries is

An alternating emf of frequency 50 Hz is applied to a circuit with a resistor of 200 an inductor of 100 mH and a capacitor of 30 uF connected in series. (i) What is the angle by which the current leads or lags the applied emf ? (ii) Represent the voltage and the current in a vector diagram showing the phase angle.

(a) Resistors given as R_(1), R_(2) and R_(3) are connected in series to a battery V. Draw the circuit diagram showing the arrangement. Derive an expression for the equivalent resistance of the combination. (b) If R_(1)=10 Omega, R_(2)=20 Omega and R_(3)=30 Omega , calculate the effective resistance when they are connected in series to a battery of 6 V. Also find the current flowing in the circuit.

A house is fitted with seven tubelights of rating 220 V, 40 W each , two bulbs of rating 220 V, 60 W each, five fans each drawing a current of 0.4 A at 220 V , and a heater of resistance 48.4 Omega . The main line power supplied to the house is at 220 V . Calculate the bill for the month of january if tubelights and bulbs are used for 6 h daily, fans for 1 h daily , and heater for 10 h daily. The electricity is to cost Rs. 2 per unit.