LC Oscillations

IMPORTANT

LC Oscillations: Overview

In this topic, we will learn about LC oscillations in detail with diagrams. It explains the reason for unrealistic LC oscillations. It also discusses the analogies between mechanical and electrical quantities.

Important Questions on LC Oscillations

MEDIUM
IMPORTANT

In an LC oscillating circuit with L=75 mH and C=30 μF, the maximum charge of capacitor is 2.7×10-4 C. Maximum current through the circuit will be

HARD
IMPORTANT

In the circuit shown in figure S1 is open and, S2 and S3 are closed. The circuit is in steady state. At time t=0, switch S1, is closed and S2 and S3 are opened simultaneously. V=100 V, R=10 Ω, C=100 μF, L=0.03 H

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Find the maximum charge that will appear on the capacitor at any time

MEDIUM
IMPORTANT

A capacitor of capacitance 0.6 μF is charged by a 6 V battery. Charged capacitor is now connected to an inductor of inductance 2 mH. Then find the current in the circuit when one third energy stored in capacitor converts into the energy stored in inductor.

EASY
IMPORTANT

In L.C oscillation, maximum current in the inductor can be I. If at any instant, electric energy and magnetic energy associated with circuit is equal, then current in the inductor at that instant is

MEDIUM
IMPORTANT

In an L-C oscillation maximum charge on capacitor can be Q0. If at any instant electrical energy is 34th of the magnetic energy then the charge on capacitor at that instant is

MEDIUM
IMPORTANT

Two capacitors of capacitance 2C and C are given charges 8Q0 and Q0 respectively as shown in figure. If switch is closed what will be maximum current through inductor.

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HARD
IMPORTANT

In an L-C circuit shown in the figure, C=1F, L=4H. At time t=0, charge in the capacitor is 4 C and it is decreasing at a rate of 5C s-1. Choose the correct statements.

HARD
IMPORTANT

In the circuit shown in figure, if both the bulbs B1 and B2 are identical, then

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EASY
IMPORTANT

A radio receiver can tune over the frequency range 300kHz to 1200kHz. If the tunable L C circuit has a fixed inductorL=200μH, what must be the range over which the capacitor must be tuned? (You can useπ210 )

EASY
IMPORTANT

We connect a charge capacitor to an inductor the electric current and charge on the capacitor in the circuit undergoes LC oscillations.

EASY
IMPORTANT

What is the working of LC oscillator?

EASY
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An LC resonant circuit contains a 400 pF capacitor and an inductor of 400 μH. It is coupled to an antenna. Wavelength of radiated electromagnetic wave is

EASY
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What is LC oscillation?

EASY
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The resonance frequency of LC circuit is

EASY
IMPORTANT

A 60μF capacitor is charged to 100 volts. This charged capacitor is connected across a 1.5mH coil, so that LC oscillations occur. The maximum current in the coil is:-

MEDIUM
IMPORTANT

In the AC network shown in figure, the rms current flowing through the inductor and capacitor are 0.6 A and 0.8 A respectively. Then the current coming out of the source is

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EASY
IMPORTANT

A 60 μF capacitor is charged to 100 volts. This charged capacitor is connected across a 15 mH coil, So that LC oscillations occur. Maximum current in the coil is :

EASY
IMPORTANT

A fully charged capacitor C with initial charge q0 is connected to a coil of self inductances L at t = 0. The time at which the energy is stored equally between the electric and the magnetic fields is :

MEDIUM
IMPORTANT

In an LC circuit shown in figure, C=2 F and L=2 H. At time t=0, charge on the capacitor is 3 coulomb and it is decreasing with rate of 4 C s-1. Then choose the correct statement.

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EASY
IMPORTANT

Two capacitors of capacitance C1 and C2 are charged to a potential difference of V1 and V2 respectively and are connected to an inductor of inductance L as shown in the figure. Initially key k is open. Now key k is closed and current in the circuit starts increasing. When current in the circuit is maximum

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