In a circuit, a metal filament lamp is connected in series with a capacitor of capacitance CμF across a 200 V, 50 Hz supply. The power consumed by the lamp is 500 W while the voltage drops across it is 100 V. Assume that there is no inductive load in the circuit. Take rms values of the voltages. The magnitude of the phase-angle (in degrees) between the current and the supply voltage is φ. Assume, $\mathrm{\pi }\sqrt{3}\approx 5\text{. }$