In a circuit, a metal filament lamp is connected in series with a capacitor of capacitance $\mathrm{C} \mu \mathrm{F}$ across a $200 \mathrm{~V}, 50 \mathrm{~Hz}$ supply. The power consumed by the lamp is 500 W while the voltage drop 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 $\phi$. Assume, $\pi \sqrt{3} \approx 5$

The value of C is $\_\_\_\_$ .