List of top Physics Questions on LCR Circuit asked in MHT CET

In a L-R circuit of 4 mH inductance and \(3 \Omega\) resistance, e.m.f. \(E = cos(1000t)\) V is applied. The amplitude of current is

In an LCR series circuit an alternating voltage source of frequency \(F\) is connected. The current leads the voltage by \(45^{\circ}\). The value of \(L\) is

Which graph shows the correct variation of r.m.s. current '\(i\)' with frequency '\(f\)' of a.c. in case of series resonant circuit ?

In a series LCR circuit, the voltage across R is \(100\) V, \(R = 1\,\text{K}\,\Omega\) and \(C = 2\,μ\text{F}\). The angular frequency \(ω\) is \(200\) rad s\(^{-1}\). At resonance, the voltage across '\(L\)' is

In series LCR circuit \(R = 10\,\Omega\) and impedance is \(30\,\Omega\). An r.m.s. voltage \(210\) V, is applied across the circuit. The true power consumed in AC circuit is

For a series LCR circuit inductive reactance \(X_L\) is equal to resistance \(R\) and also equal to twice the capacitive reactance \(X_C\). The impedance of the circuit and the phase difference between voltage V and current i are respectively

In an LCR circuit at resonance, the a.c. source current is
A) maximum in a series LCR circuit only.
B) maximum in a parallel LCR circuit only.
C) maximum in both series and parallel LCR circuits.
D) minimum in both series and parallel LCR circuits.
The correct answer is

In the series LCR circuit shown in figure the impedance is

In an LCR series circuit, the potential difference across the terminals of the inductor, capacitor and resistor is 60 V, 30 V and 40 V respectively. Then supply voltage will be equal to

In an a.c. circuit with pure capacitance 'C' and a.c. source \(E = E_0sinωt\), the equation of instantaneous current is given by

In a series LCR circuit alternating e.m.f. and current are given by the equations \(V = V_0sin(ωt)\) and \(I = I_0sin(ωt+\frac{π}{3})\) respectively. The average power dissipated in the circuit over one cycle of a.c. is \((cos60^{\circ} = 0.5)\)

The resistor '\(R\)' inductance '\(L\)' and capacitance '\(C\)' are connected in series with an a.c. source. When 'L' is removed from the circuit, the phase difference between voltage and current in the circuit is \(\frac{π}{3}\). If instead, C is removed from the circuit, the phase difference is again \(\frac{π}{3}\). The power factor of the circuit is

The LC series resonant circuit produces a resonant frequency '\(f\)'. If L is tripled and 'C' is increased by 3C, the resonant frequency will be

In LCR series circuit at resonance

An inductor of inductance \(2 μ\text{H}\) is connected in series with a resistance, a variable capacitor and an a.c. source of 10 kHz. The value of capacitance for which maximum current is drawn in to the circuit is \(\frac{1}{x} \text{F}\), where the value of x is (Take \(π^2 = 10\))

Series LCR circuit containing an a.c. source of 100V has a inductor and a capacitor of reactance \(24 \Omega\) and \(16 \Omega\) respectively. If a resistance of \(6 \Omega\) is connected in series, then the potential difference across the series combination of inductor and capacitor only is

When a capacitor is connected in series LR circuit, the alternating current flowing in the circuit

With gradual increase in frequency of an a.c. supply, the impedance of an LCR series circuit

In an LCR series circuit, at resonance,

A series resonant circuit consists of an inductor 'L' and capacitor 'C' which produces resonant frequency 'f'. If 'L' is increased by '2L' and 'C' is changed to '9C' the resonant frequency will be

In the circuit shown, the ratio of the quality factor and the band width is
(Given: band width = R/L)

In the circuit shown below, the ac source has voltage \(V = 30cos(ωt)\) volt with \(ω = 2000\) rad/s. What will be the amplitude of the current?

A series LCR circuit is connected to an a.c. source of \(220\) V, \(50\) Hz. The circuit contains a resistance \(R = 80\,\Omega\), an inductor of inductive reactance \(70\,\Omega\) and capacitor of capacitive reactance \(130\,\Omega\). The power factor of the circuit is \(\frac{x}{10}\). The value of x is

An inductor of \(0.5\) mH, a capacitor of \(20\) \(μ\)F and resistance \(20\,\Omega\) are connected in series with a \(220\) V ac source. If the current is in phase with the emf, the amplitude of current of the circuit is \([x]^{1/2}\) A. The value of \(x\) is

A resistor of 100 \(\Omega\), inductor of self inductance \((\frac{4}{π^2})\) H and a capacitor of unknown capacity are connected in series to an a.c. source of 200 V and 50 Hz. When the current and voltage are in phase, the value of capacity is