List of top Physics Questions on LCR Circuit

એક AC વોલ્ટેજ \( V = 220 \sin(2 \times 10^3 t) \) વોલ્ટને શ્રેણી LCR સર્કિટમાં લાગુ કરવામાં આવે છે. તો સર્કિટમાં કરંટનો એમ્પ્લિટ્યુડ છે: (આપેલ છે: \( L = 10 \) mH, \( C = 25 \) µF, \( R = 100 \) Ω)

एक श्रेणीक्रम LCR परिपथ में एक ac वोल्टेज \(V = 220 \sin(2 \times 10^3 t)\) Volt अनुप्रयुक्त किया जाता है। तब इस परिपथ में धारा का आयाम है :
(दिया है: \(L = 10 \, mH,\; C = 25\mu F,\; R = 100\Omega\))

Consider a circuit consisting of a capacitor of capacitance \(C\) and a coil with \(N\) turns per unit length, cross sectional area \(S\) and length \(d\), where \[ d^2\gg S \] There is another coil of length \[ \frac d2 \] cross sectional area \[ \frac S2 \] and \(2N\) turns per unit length completely inside the larger coil, as shown in the figure. The ends of this smaller coil are connected with each other by an insulated conducting wire. The self-inductance of the larger coil is \(L\). Neglecting edge effects and all the Ohmic resistances, the resonant frequency of the circuit is:

In an AC circuit containing only an inductor, the current [H] [width=0.5\linewidth]{113.png}

The self-inductance of a solenoid of length $l$, area of cross-section $A$ and number of turns $N$ is proportional to

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 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 the potential difference across the capacitor will be

In an $LR$ circuit, the value of $L$ is $(0.3/\pi)$ henry and the value of $R$ is $40 \Omega$. If an alternating e.m.f of 230 V at 50 cycles per second is connected, the impedance of the circuit and current will be respectively ______.

In series LCR circuit C = 2$\mu$F, L = 5mH and R = 5$\Omega$. The ratio of energy stored in the inductor to that in capacitor, when maximum current flows through the circuit is ______.

In series LCR circuit $R=18\Omega$ and $Z=30\Omega$. An rms voltage 210 V is applied. The true power consumed is nearly

The frequency at resonance for 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