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Alternating Current question

2021 · Shift 2 · Q49
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  5. /2021 · Shift 2 · Q49

Alternating Current question

2021 · Shift 2 · Q49

JEE AdvancedPhysicsAlternating CurrentNumerical+2 / −1
In a circuit, a metal filament lamp is connected in series with a capacitor of capacitance C μ\muμ F across a 200 V, 50 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 φ\varphiφ. Assume, π3≈\pi\sqrt 3 \approxπ3​≈ 5. The value of C is ‾\underline{\hspace{2cm}}​.
Numerical answer
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