EASY
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The resonance frequency of LC circuit is

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Important Questions on Electromagnetic Induction and Alternating Currents

HARD
An LCR circuit is equivalent to a damped pendulum. In an LCR circuit the capacitor is charged to Q0 and then connected to the L and R as shown below:
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If a student plots graphs of the square of maximum charge QMax2 on the capacitor with time (t) for two different values L1 and L2(L1>L2) of L then which of the following represents this graph correctly? (plots are schematic and not drawn to scale)
EASY
LC oscillations are similar and analogous to the mechanical oscillations of a block attached to a spring. The electrical equivalent of the force constant of the spring is
EASY
An oscillating LC circuit consists of a 75 mH inductor and a 1.2 µF capacitor. If the maximum charge to the capacitor is 2.7 µC. The maximum current in the circuit will be _______ mA.
MEDIUM
An alternating voltage of 220 V, 50 Hz frequency is applied across a capacitor of capacitance 2 μF. The impedance of the circuit is
MEDIUM
A fully charged capacitor C with initial charge q0 is connected to a coil of self-inductance L at t=0. The time at which the energy is stored equally between the electric and the magnetic fields is:
MEDIUM
A coil of 40 H inductance is connected in series with a resistance of 8 Ω and the combination is joined to the terminals of a 2 V battery. The time constant of the circuit is,
EASY
A capacitor of capacitance 500 μF is charged completely using a DC supply of 100 V. It is now connected to an inductor of inductance 50 mH to form an LC circuit. The maximum current in LC circuit will be _____ A.
EASY
The resonance frequency of L-C-R series AC circuit is f0. Now the capacitance is made 4 times, then the new resonance frequency will become
MEDIUM

At a certain moment, the switch shown in the figure is disconnected. The energy of the oscillations immediately after the switch S is disconnected and at time 0.1 sec from the time switch is disconnected are, respectively

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HARD
In an LC circuit connected to an ac supply, the resonant frequency is 200MHz when a dielectric of thickness 8 mm and dielectric constant 6 is fully inserted between the plates of the capacitor. The resonant frequency becomes 198 MHz when a stress of  995 bar is applied between the plates of the capacitor. The Young's modulus of the dielectric material in Nm-2 is nearly
MEDIUM
In the given circuit, the reading of voltmeters V1 and V2 are 300 volt each. The reading of the voltmeter V3 and ammeter A are, respectively.

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HARD
A LCR circuit behaves like a clamped harmonic oscillator. Comparing it with a physical spring-mass damped oscillator having damping constant 'b', the correct equivalence would be:
EASY
An alternating voltage of 220 V, 50 Hz frequency is applied across a capacitor of capacitance 2 μF. The impedance of the circuit is
MEDIUM
An inductor 20 mH, capacitor 100 μF and a resistor 50 Ω are connected in series across a source of emf, V= 10sin⁡(314t⁡). The power loss in the circuit is
EASY
An A.C. source is connected to a resistive circuit. Which of the following is true?
HARD

An inductor (L=0.03H) and a resistor (R=0.15 ) are connected in series to a battery of 15V E.M.F. in a circuit shown below. The key K1 has been kept closed for a long time. Then at t=0, K1 is opened and key K2 is closed simultaneously. At t=1ms , the current in the circuit will be : Take, e5150

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MEDIUM
An alternating voltage e=2002sin100 t volt is connected to 1 μF capacitor through AC ammeter. The reading of ammeter is
MEDIUM
In an oscillating LC circuit, L=3.00 mH and C=2.70 μF. At t=0 the charge on the capacitor is zero and the current is 2.00 A. The maximum charge that will appear on the capacitor will be
HARD
In LC circuit the inductance L=40 mH and capacitance C=100 μF. If a voltage Vt=10sin314t is applied to the circuit, the current in the circuit is given as:
MEDIUM
An oscillator circuit contains an inductor 0.05 H and a capacitor of capacity 80 μF. When the maximum voltage across the capacitor is 200 V, the maximum current (in amperes) in the circuit is