LC Oscillations questions with solutions

Showing 1–10 of 10 questions

• Multi-correctmediumElectromagnetic InductionLC Oscillations

  In an ideal LC oscillator, at an instant |q|=Q₀/2. Which statements are correct?

  Select all that apply

  • Option A

    Electric energy is one-fourth of total energy.

  • Option B

    Magnetic energy is three-fourths of total energy.

  • Option C

    Current magnitude is √3/2 of its maximum value.

  • Option D

    Current is necessarily increasing.

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• MCQmediumElectromagnetic InductionLC Oscillations

  An ideal LC oscillator has maximum capacitor charge Q₀ and maximum current I₀. Which relation is correct?

  Options

  • Option A

    I₀=Q₀/√(LC)

  • Option B

    I₀=Q₀√(LC)

  • Option C

    I₀=Q₀L/C

  • Option D

    I₀=Q₀C/L

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• MCQmediumElectromagnetic InductionLC Oscillations

  In an ideal LC oscillator q=Q₀cosωt. Starting from maximum positive charge at t=0, when do electric and magnetic energies first become equal?

  Options

  • Option A

    π/(8ω)

  • Option B

    π/(4ω)

  • Option C

    π/(2ω)

  • Option D

    π/ω

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• MCQmediumElectromagnetic InductionLC Oscillations

  In an ideal LC oscillator, at an instant the electric energy is three times the magnetic energy. If Q₀ is the maximum capacitor charge, what is the magnitude of charge at that instant?

  Options

  • Option A

    Q₀/2

  • Option B

    Q₀/√2

  • Option C

    √3Q₀/2

  • Option D

    Q₀/√3

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• Multi-correctmediumElectromagnetic InductionLC Oscillations

  At an instant when the capacitor of an ideal LC oscillator is completely discharged, which statements are correct?

  Select all that apply

  • Option A

    Current magnitude is maximum.

  • Option B

    Electric energy is zero.

  • Option C

    Magnetic energy equals total energy.

  • Option D

    The magnitude of dI/dt is maximum.

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• MCQmediumElectromagnetic InductionLC Oscillations

  The capacitance of an ideal LC oscillator is suddenly changed from C to 4C at an instant when capacitor charge is maximum and current is zero. What is the new angular frequency?

  Options

  • Option A

    ω/4

  • Option B

    ω/2

  • Option C

    2ω

  • Option D

    4ω

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• NumericmediumElectromagnetic InductionLC Oscillations

  An ideal LC circuit has L=4 H and C=1 F. The capacitor is initially fully charged. Determine the first time, in seconds, at which it becomes completely discharged.

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• NumericmediumElectromagnetic InductionLC Oscillations

  A 2 μF capacitor charged to 100 V is connected to an ideal inductor. Determine the maximum magnetic energy, in mJ.

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• MCQmediumElectromagnetic InductionLC Oscillations

  In an ideal LC oscillator, q=Q₀cosωt. At ωt=π/4, what is the ratio of electric energy to magnetic energy?

  Options

  • Option A

    1:1

  • Option B

    1:2

  • Option C

    2:1

  • Option D

    1:3

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• Multi-correctmediumElectromagnetic InductionLC Oscillations

  Which statements are correct for an ideal LC oscillator?

  Select all that apply

  • Option A

    Total electromagnetic energy remains constant.

  • Option B

    Charge and current differ in phase by π/2.

  • Option C

    When capacitor charge is maximum, current is zero.

  • Option D

    When current is maximum, magnetic energy is maximum.

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