List of top Physics Questions on LCR Circuit

In a given circuit, the instantaneous values of alternating voltage and current are $V = 5 \sin(80\pi t + \pi)$ volts and $I = 5 \sin(80\pi t)$ amperes respectively. Find the average power consumed in the circuit.
A source of alternating emf $e = \varepsilon_0 \sin(\omega t)$ is connected to a pure capacitor. Then the instantaneous current in the circuit is:
In an LCR series circuit, the resonance frequency is \( f \). If the capacitance is made 4 times, what will be the new resonance frequency?
What is the unit of the \(L/R\) ratio?
For a given ac supply voltage $60\sin\omega t$, the reactances offered by $L$ and $C$ are found to be $20,\Omega$ each. If the resistance of the resistor is also $20,\Omega$, then the current in the circuit is
The r.m.s current of an alternating current given by $i = 4\sqrt{2}\sin \omega t + 3\sqrt{2}\cos \omega t$ is:
What is the unit of the ratio \(L/R\) where \(L\) is inductance and \(R\) is resistance?
In ac circuit containing an ac source of frequency f, the capacitance is proportional to
What is the power factor of an AC circuit containing only a pure resistor?
In an AC circuit, what is the power factor of a pure resistor?
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 LCR series circuit driven with $E_{\text{rms}} = 90 \text{ V}$ at frequency $f_d = 30 \text{ Hz}$ has resistance $R = 80 \text{ } \Omega$, an inductance with inductive reactance $X_L = 20.0 \text{ } \Omega$ and capacitance with capacitive reactance $X_C = 80.0 \text{ } \Omega$. The power factor of the circuit is ________.
An inductor of ((\frac{100}{\pi}) mH), capacitor of capacitance ((\frac{10^{-3}}{2\pi}) F) and resistance of (10 \Omega) are connected in series with an AC voltage source of (110 V), (50 Hz) supply. The tangent of the phase angle ' (\phi) ' between voltage and current is
Two inductors of \(80 \text{ mH}\) each are joined in parallel. If the current is \(2.1 \text{ A}\), the energy stored in the combination is
The value of alternating e.m.f. (\(E\)) in the given circuit is
In an \(LC\) circuit, angular frequency at resonance is \(\omega\). The new angular frequency when inductance is made four times and capacitance is made eight times is
A $20\Omega$ resistance, $10\text{ mH}$ inductance coil and $15\mu\text{F}$ capacitor are joined in series. When a suitable frequency alternating current source is joined to this combination, the circuit resonates. If the resistance is made $\frac{1}{3}\text{rd}$, the resonant frequency}
An a.c. e.m.f. of peak value $230\text{ V}$ and frequency $50\text{ Hz}$ is connected to a circuit with $R = 11.5\Omega, L = 2.5\text{H}$ and a capacitor all in series. The value of capacitance is ' $C$ ' for the current in the circuit to be maximum. The value of ' $C$ ' and maximum current are respectively ($\pi^2 = 10$ )}
The rms value of a.c with peak value of \(200\) V is
An inductor of ((\frac{100}{\pi}) mH), capacitor of capacitance ((\frac{10^{-3}}{2\pi}) F) and resistance of (10 \Omega) are connected in series with an AC voltage source of (110 V), (50 Hz) supply. The tangent of the phase angle ' (\phi) ' between voltage and current is
Two inductors of \(80 \text{ mH}\) each are joined in parallel. If the current is \(2.1 \text{ A}\), the energy stored in the combination is
The value of alternating e.m.f. (\(E\)) in the given circuit is
In an \(LC\) circuit, angular frequency at resonance is \(\omega\). The new angular frequency when inductance is made four times and capacitance is made eight times is
An alternating current having the peak value \( 10\sqrt{2}\,\text{A} \) is used to heat a metal wire. To produce the same heating effect, the constant current required is
The a.c circuit exhibiting the phenomenon of resonance has/have the circuit element(s)