Physics · Alternating Current

JEE Advanced 2021 — Paper 2 — Question 30

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

The value of $\phi$ is $\text{ }\!\!~\!\!\text{ }$ .

Answer: 60.00

Numerical answer — enter this value.

Step-by-step solution

$\text{cos}\phi =\frac{\text{R}}{\text{Z}}=\frac{20}{40}=\frac{1}{2}$ $\Rightarrow \phi ={{60}^{\circ }}$

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Exam: JEE Advanced 2021
Paper: Paper 2
Subject: Physics
Chapter: Alternating Current
Topic: Series L-R, R-C, L-C Circuits with AC Source

In the circuit, a metal filament lamp is connected in series with a capacitor of capacitance C mu F across a 200 V, 50 Hz supply. The power…

Answer: 60.00

Step-by-step solution

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