Faraday's Laws of Electromagnetic Induction questions with solutions

Showing 1–10 of 10 questions

• MCQmediumElectromagnetic InductionFaraday's Laws of Electromagnetic Induction

  A coil has N turns and resistance R. Its area vector makes angle θ with a uniform magnetic field B. If θ changes at constant angular speed ω while B remains constant, which expression gives the induced EMF magnitude?

  Options

  • Option A

    NBAω|sinθ|

  • Option B

    NBAω|cosθ|

  • Option C

    NBAω

  • Option D

    NBA/ω

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• MCQmediumElectromagnetic InductionFaraday's Laws of Electromagnetic Induction

  A single-turn conducting loop of resistance 4 Ω is placed with its plane perpendicular to a magnetic field. The magnetic flux through the loop varies as Φ = 6t² - 4t + 2 Wb. Determine the magnitude of the induced current at t = 2 s.

  Options

  • Option A

    2 A

  • Option B

    4 A

  • Option C

    5 A

  • Option D

    8 A

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• NumericmediumElectromagnetic InductionFaraday's Laws of Electromagnetic Induction

  A 200-turn coil of resistance 10 Ω has an initial magnetic flux of 5 mWb through each turn. It is rotated so that the final flux through each turn is -3 mWb. Neglect self-inductance. Determine the magnitude of total charge transferred through the coil, in coulomb.

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• Multi-correctmediumElectromagnetic InductionFaraday's Laws of Electromagnetic Induction

  A conducting loop has finite resistance but negligible self-inductance. The external magnetic flux first increases from 0 to Φ₀ and later decreases back to 0. Which statements are correct?

  Select all that apply

  • Option A

    The algebraic net charge transferred over the complete process is zero.

  • Option B

    The unsigned charge transferred is 2Φ₀/R.

  • Option C

    The directions of current in the two stages are opposite.

  • Option D

    The unsigned charge depends on how rapidly the two changes occur.

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• Multi-correctmediumElectromagnetic InductionFaraday's Laws of Electromagnetic Induction

  A conducting loop of resistance R is subjected to a magnetic flux that changes from Φ₁ to Φ₂ in a finite time. Self-inductance is negligible. Select the correct statements.

  Select all that apply

  • Option A

    The algebraic charge transferred is (Φ₁ - Φ₂)/R.

  • Option B

    The magnitude of total transferred charge is |Φ₂ - Φ₁|/R.

  • Option C

    The transferred charge is independent of the duration of flux change.

  • Option D

    The instantaneous current is independent of the rate of flux change.

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• Multi-correctmediumElectromagnetic InductionFaraday's Laws of Electromagnetic Induction

  The magnetic flux through a conducting loop of resistance R is Φ = Φ₀ sinωt. Self-inductance is negligible. Which statements are correct?

  Select all that apply

  • Option A

    The induced EMF is maximum in magnitude when Φ = 0.

  • Option B

    The induced current is zero when |Φ| is maximum.

  • Option C

    The algebraic charge crossing a section during one complete cycle is zero.

  • Option D

    The total unsigned charge crossing a section during one complete cycle is zero.

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• NumericmediumElectromagnetic InductionFaraday's Laws of Electromagnetic Induction

  A 50-turn coil of resistance 5 Ω is taken from a region where the flux through each turn is 4 mWb to a region where it is 1 mWb. Determine the magnitude of charge transferred, in mC.

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• MCQmediumElectromagnetic InductionFaraday's Laws of Electromagnetic Induction

  The flux through a loop varies as Φ = at³ - bt² + ct, where a, b and c are positive constants. The induced current becomes zero at two positive instants whose sum is T. Find T.

  Options

  • Option A

    2b/3a

  • Option B

    2b/a

  • Option C

    b/3a

  • Option D

    b/a

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• MCQmediumElectromagnetic InductionFaraday's Laws of Electromagnetic Induction

  A loop of resistance R experiences a flux Φ = Φ₀$e^(-t/τ).$ What total magnitude of charge passes through a section of the loop from t = 0 to t → ∞, neglecting self-inductance?

  Options

  • Option A

    Φ₀/R

  • Option B

    Φ₀τ/R

  • Option C

    Φ₀/(Rτ)

  • Option D

    Zero

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• Multi-correctmediumElectromagnetic InductionFaraday's Laws of Electromagnetic Induction

  A closed conducting loop is moved or deformed in a magnetic field. Which operations can produce an induced current?

  Select all that apply

  • Option A

    Changing the loop area in a uniform perpendicular magnetic field.

  • Option B

    Rotating the loop in a uniform magnetic field.

  • Option C

    Rigidly translating the loop through a spatially varying magnetic field.

  • Option D

    Rigidly translating the loop inside an infinite uniform magnetic field without changing its orientation.

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