List of top Physics Questions on LCR Circuit asked in BITSAT

A series LCR circuit consists of \( R = 80\,\Omega \), \( X_L = 100\,\Omega \), and \( X_C = 40\,\Omega \). The input voltage is \( 2500 \cos(100\pi t) \) V. The amplitude of current in the circuit is
A coil of inductance 300mH and resistance 2Ω is connected to a source of voltage 2V. The current reaches half of its steady state value in
A resistor of resistance R, capacitor of capacitance C and inductor of inductance L are connected in parallel to an AC power source of voltage varepsilon₀sinω t. The maximum current through the resistance is half of the maximum current through the power source. Then value of R is:

In the circuit shown below, the AC source has voltage V = 20cos(ω t)V with ω = 2000rad/s. The amplitude of the current will be nearly 

In the circuit shown, the symbols have their usual meanings. The cell has emf E. X is initially joined to Y for a long time. Then, X is joined to Z. The maximum charge on C at any later time will be: 

A resistor and an inductor are connected to an AC supply of 120V and 50Hz. The current in the circuit is 3A. If the power consumed is 108W, then the resistance in the circuit is:
A resistor of resistance R, capacitor of capacitance C and inductor of inductance L are connected in parallel to an AC power source of voltage \( \varepsilon_0 \sin \omega t \). The maximum current through the resistance is half of the maximum current through the power source. Then value of R is:

Answer:
\( R = \sqrt{3}\left| \dfrac{1}{\omega C} - \omega L \right| \)

In the circuit shown below, the AC source has voltage \(V=20\cos(\omega t)\,\text{V}\) with \(\omega=2000\,\text{rad/s}\). The amplitude of the current will be nearest to: 


Voltage and current in an AC circuit are given by \(V = 50\sin(50t)\,\text{V}\) and \(i = 50\sin(50t + \frac{\pi}{3})\,\text{mA}\). The power dissipated in the circuit is:

Which one of the following curves represents the variation of impedance Z with frequency f in a series LCR circuit? 



 

An alternating voltage V=V₀ω t is applied across a circuit. As a result, a current I=I₀(ω t-π/2) flows in it. The power consumed per cycle is
A resistance R and inductance L and a capacitor C are connected in series with an AC supply. The resistance of R is 16Ω, inductive reactance =24Ω and capacitive reactance =12Ω. If the current in the circuit is 5A, find the potential difference across R, L and C.