For a series LCR circuit with R = 100 Ω, L = 0.5 mH and C = 0.1 pF… | JEE Main 2021 (20 Jul, Shift 2)

Q53JEE Main 2021 · 20 JUL · SHIFT 2Medium

Series LCR Circuit

For a series LCR circuit with R = 100 $\Omega$ , L = 0.5 mH and C = 0.1 pF connected across 220V $\text{-}$ 50 Hz AC supply, the phase angle between current and supplied voltage and the nature of the circuit is:

Show answer and solution

Answer: (d)

$X_L = 2\pi \times 50 \times 0.5\times10^{-3} \approx 0.16\ \Omega$
$X_C = \dfrac{1}{2\pi \times 50 \times 10^{-13}} \approx 3.2\times10^{10}\ \Omega$
$X_C \gg R, X_L$ , so $\tan\phi = \dfrac{X_C - X_L}{R}$ is huge and $\phi \approx 90^\circ$ .
So the answer is (d) $\approx 90^\circ$ , predominantly capacitive circuit.

Report a mistake

More questions on Series LCR Circuit

In LC circuit the inductance L = 40 mH and capacitance C = 100 μ F. If a voltage V(t) =…JEE Main 2020 (9 Jan, Shift 2)
A series LCR circuit is connected to an ac voltage source. When L is removed from the…NEET 2020 (Phase 1)
In a series LCR circuit R = 300 Ω, L = 0.9 H, C = 2, ω = 1000 rad/s. The impedance of the…MHT CET 2019 (2 May, Shift 1)
A sinusoidal voltage of peak value 283 V and angular frequency 320/s is applied to a…JEE Main 2017 (9 Apr, Shift 1)
When the rms voltages VL, VC and VR are measured respectively across the inductor L, the…JEE Main 2014 (9 Apr, Shift 1)
In the circuit shown here, the voltage across L and C are respectively 300 V and 400 V…JEE Main 2013 (9 Apr, Shift 1)
In an electrical circuit R, L, C and a.c. voltage source are all connected in series…NEET 2012 (AIPMT, Prelims)
In the given circuit the reading of voltmeter V1 and V2 are 300 volts each. The reading…NEET 2010 (AIPMT, Prelims)

Series LCR Circuit question from JEE Main 2021 (20 Jul, Shift 2)

More questions on Series LCR Circuit