Series LCR Circuit

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 the series LCR circuit shown in figure the impedance is

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

An ac voltage $V = 220 \sin\left(2 \times 10^{3} t\right)$ Volt is applied to a series LCR circuit. Then the current amplitude in this circuit is:

(Given: $L = 10\text{ mH},\ C = 25\ \mu\text{F},\ R = 100\ \Omega$)

In the given circuit, r.m.s. value of current through the resistor $R$ 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 the circuit shown below, the ac source has voltage $V = 30\cos(\omega t)$ volt with $\omega = 2000$ rad/s. What will be the amplitude of the current?

In an LCR series circuit, a. c. voltage source is connected in series. When L is removed from the circuit, the phase difference between the voltage and the current is $\pi/3$. If instead C is removed, the phase difference is again $\pi/3$. The power factor of the circuit is $\left(\tan\frac{\pi}{3} = \sqrt{3}\right)$

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

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 $\frac{\pi}{3}$. If instead, C is removed from the circuit, the phase difference is again $\frac{\pi}{3}$. The power factor of the circuit is

The figure given below shows an LCR series circuit with two switches S1 and S2. When switch S1 is closed keeping S2 open, the phase difference (φ) between the current and source voltage is 30° and phase difference is 60° when S2 is closed keeping S1 open. The value of (3L1 − L2) is ______ H.

The value of alternating e.m.f. (E) in the given circuit is

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

To an ac power supply of 220 V at 50 Hz, a resistor of $20\ \Omega$, a capacitor of reactance $25\ \Omega$ and an inductor of reactance $45\ \Omega$ are connected in series. The corresponding current in the circuit and the phase angle between the current and the voltage is, respectively

$L, C$ and R are connected in series to an a. c. source. Which one of the following is true? Phase relation between current and voltage is such that

An alternating e.m.f. having voltage $V = V_0 \sin\omega t$ is applied to a series L-C-R circuit. Given: $|X_L - X_C| = R$. The r.m.s. value of potential difference across capacitor will be

A series LCR circuit is connected to an a.c. source of $230\text{ V},\ 50\text{ Hz}$. The circuit contains resistance of $80\ \Omega$ an inductor having inductive reactance $70\ \Omega$ and a capacitor of capacitive reactance $130\ \Omega$. The power factor of the circuit is $x$. The value of $x$ is

An inductor of $\left(\frac{100}{\pi}\right)\text{ mH}$, capacitor of capacitance $\left(\frac{10^{-3}}{2\pi}\right)\text{ F}$ and resistance of $10\ \Omega$ are connected in series with an AC voltage source of $110\text{ V},\ 50\text{ Hz}$ supply. The tangent of the phase angle ' $\phi$ ' between voltage and current is

In LCR series circuit, when ' $L$ ' is removed from the circuit, the phase difference between voltage and current in the circuit is $\frac{\pi}{3}$. If ' $C$ ' is removed from the circuit instead of $L$ then phase difference is again $\frac{\pi}{3}$. The power factor of the circuit is $\left(\tan 60^\circ = \sqrt{3}\right)$

In an electrical circuit ' $R$ ', ' $L$ ', ' $C$ ' and an a.c. voltage source are all connected in series. When ' L ' is removed from the circuit, the phase difference between the voltage and the current in the circuit is $\frac{\pi}{3}$. If instead ' $C$ ' is removed from the circuit, the phase difference is again $\frac{\pi}{3}$. The power factor of the circuit is $\left(\tan\frac{\pi}{3} = \sqrt{3}\right)$

In an $LCR$ circuit, if ' $V$ ' is the effective value of the applied voltage, $V_R$ is the voltage across ' $R$ ', ' $V_L$ ' and ' $V_C$ ' is the effective voltage across ' L ' and ' $C$ ' respectively then

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

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

A series LCR circuit is subjected to an ac signal of $200\text{ V},\ 50\text{ Hz}$. If the voltage across the inductor $(L = 10\text{ mH})$ is $31.4\text{ V}$, then the current in this circuit is _______.

An ac source is connected in given series LCR circuit. The rms potential difference across the capacitor of $20\ \mu\text{F}$ is __________ V.

For the series $LCR$ circuit, $R = \frac{X_L}{2} = 2X_C$. The impedance of the circuit and the phase difference between V and I will be

An inductance of $\frac{300}{\pi}\text{ mH}$, a capacitance of $\frac{1}{\pi}\text{ mF}$ and a resistance of $20\ \Omega$ are connected in series with an a.c. source of $240\text{ V},\ 50\text{ Hz}$. The phase angle of the circuit is

With an alternating voltage source frequency ' f ', inductor ' $L$ ', capacitor ' $C$ ' and resistance ' $R$ ' are connected in series. The voltage leads the current by $45^\circ$. The value of ' $L$ ' is $(\tan 45^\circ = 1)$

In the given circuit, if $\frac{dI}{dt} = -1\text{ A/s}$ then the value of $(V_A - V_B)$ at this instance will be

The a.c. source is connected to series LCR circuit. If voltage across $R$ is $40\text{ V}$, that across $L$ is $80\text{ V}$ and that across $C$ is $40\text{ V}$, then the e.m.f. '$e$' of a.c. source is

In series LCR circuit, the voltage across the inductance and the capacitance are not

An ac source is connected in the given circuit. The value of $\phi$ will be:

The reciprocal of the total effective resistance of LCR a.c. circuit is called

If Z${}_{1}$ and Z${}_{2}$ are the impedances of the given circuits (a) and (b) as shown in figures, then choose the correct option

The net impedance of circuit (as shown in figure) will be:

If $R, X_L$, and $X_C$ represent resistance, inductive reactance and capacitive reactance. Then which of the following is dimensionless:

In the given circuit, r.m.s. value of current through the resistor $R$ is

In the given circuit, rms value of current $(I_{\text{rms}})$ through the resistor $R$ is:

An alternating voltage is applied to a series LCR circuit. If the current leads the voltage by $45^\circ$, then $(\tan 45^\circ = 1)$

With an alternating voltage source of frequency '$f$', inductor '$L$', capacitor '$C$' and resistance '$R$' are connected in series. The voltage leads the current by $45^\circ$. The value of '$L$' is $(\tan 45^\circ = 1)$

If L, C and R are the self inductance, capacitance and resistance respectively, which of the following does not have the dimension of time?

A sinusoidal voltage $V(t) = 200\sin 2000t$ volt is applied to a series LCR circuit in which $L = 10\text{ mH},\ C = 25\ \mu\text{F}$ and $R = 100\ \Omega$. The impedance of the circuit is _______ $\Omega$

A sinusoidal voltage V(t) = 210 sin 3000 t volt is applied to a series LCR circuit in which L = 10 mH, C = 25 $\mu$F and R = 100 $\Omega$. The phase difference ($\Phi$) between the applied voltage and resultant current will be:

In the given circuit, the magnitude of VL and VC are twice that of VR. Given that f = 50 Hz, the inductance of the coil is $\frac{1}{K\pi}$ mH. The value of K is ____________.

A circuit element $X$ when connected to an a.c. supply of peak voltage $100\text{ V}$ gives a peak current of $5\text{ A}$ which is in phase with the voltage. A second element $Y$ when connected to the same a.c. supply also gives the same value of peak current which lags behind the voltage by $\frac{\pi}{2}$. If $X$ and $Y$ are connected in series to the same supply, what will be the rms value of the current in ampere?

For series LCR circuit, which one of the following is a CORRECT statement?

In an LCR series a.c. circuit, the voltage across each of the components L, C and R is 60 V. The voltage across the LC combination is

In an ac circuit, an inductor, a capacitor and a resistor are connected in series with XL = R = XC. Impedance of this circuit is:

The angular frequency of alternating current in a L-C-R circuit is 100 rad/s. The components connected are shown in the figure. Find the value of inductance of the coil and capacity of condenser.

In the circuit shown in the figure, a.c. source gives voltage $V = 20\cos(2000t)$. Impedance and r.m.s. current respectively will be

A series LCR circuit with resistance (R) $500\text{ ohm}$ is connected to an a.c. source of $250\text{ V}$. When only the capacitance is removed, the current lags behind the voltage by $60^\circ$. When only the inductance is removed, the current leads the voltage by $60^\circ$. The impedance of the circuit is $\left(\tan\frac{\pi}{3} = \sqrt{3}\right)$

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:

In LC circuit the inductance L = 40 mH and

capacitance C = 100 $\mu$F. If a voltage

V(t) = 10sin(314t) is applied to the circuit, the

current in the circuit is given as:

A series LCR circuit is connected to an ac voltage source. When L is removed from the circuit, the phase difference between current and voltage is $\frac{\pi}{3}$. If instead C is removed from the circuit, the phase difference is again $\frac{\pi}{3}$ between current and voltage. The power factor of the circuit is:

In a series $LCR$ circuit $R = 300\ \Omega,\ L = 0.9\text{ H},\ C = 2\ \mu\text{F},\ \omega = 1000\text{ rad/s}$. The impedance of the circuit is

A sinusoidal voltage of peak value 283 V and angular frequency 320/s is applied to a series LCR circuit. Given that R=5 $\Omega$, L=25 mH and C=1000 $\mu$F. The total impedance, and phase difference between the voltage across the source and the current will respectively be:

When the rms voltages VL, VC and VR are measured respectively across the inductor L, the capacitor C and the resistor R in a series LCR circuit connected to an AC source, it is found that the ratio VL: VC: VR = 1: 2: 3. If the rms voltage of the AC source is 100 V, then VR is close to:

In the circuit shown here, the voltage across L and C are respectively 300 V and 400 V. The voltage E of the ac source is:

In an electrical circuit R, L, C and a.c. voltage source are all connected in series. When L is removed from the circuit, the phase difference between the voltage and the current in the circuit is $\frac{\pi}{3}$. If instead, C is removed from the circuit, the phase difference is again $\frac{\pi}{3}$. The power factor of the circuit is

In the given circuit the reading of voltmeter V1 and V2 are 300 volts each. The reading of the voltmeter V3 and ammeter A are respectively

In a circuit L, C and R are connected in series with an alternating voltage source of frquency $f$ The current leads the voltage by 45°. The value of C is

The phase difference between the alternating current and $emf$ is $\frac{\pi}{2}.$ Which of the following cannot be the constituent of the circuit?

In an $LCR$ series $\text{a.c.}$ circuit, the voltage across each of the components, $L, C$ and $R$ is $50\text{ V}$. The voltage across the $L\text{-}C$ combination will be: