1. Tardigrade
  2. Question
  3. Physics
  4. In the circuit, a metal filament lamp is connected in series with a capacitor of capacitance C μ 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 r m s values of the voltages. The magnitude of the phase-angle (in degrees) between the current and supply voltage is φ . Assume, π √3 ≈ 5. The value of φ is .

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Q. 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 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 $r m s$ 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 _____.

JEE AdvancedJEE Advanced 2021

Solution:

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