Mutual Inductance questions with solutions

Showing 1–10 of 15 questions

• MCQmediumElectromagnetic InductionMutual Inductance

  Two coils give equivalent inductances 18 H in series aiding and 10 H in series opposing. If L₁=9 H, determine L₂ and M.

  Options

  • Option A

    5 H and 2 H

  • Option B

    5 H and 4 H

  • Option C

    7 H and 2 H

  • Option D

    7 H and 4 H

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• Multi-correctmediumElectromagnetic InductionMutual Inductance

  Two identical coupled coils each have self-inductance L and mutual inductance M=L/2. Each carries current of magnitude I. Which statements are correct?

  Select all that apply

  • Option A

    Stored energy in the aiding orientation is 3LI²/2.

  • Option B

    Stored energy in the opposing orientation is LI²/2.

  • Option C

    The ratio of these energies is 3.

  • Option D

    Reversing current in only one coil changes the mutual-energy term but not the self-energy terms.

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• NumericmediumElectromagnetic InductionMutual Inductance

  Two coils have L₁=4 H, L₂=9 H and k=0.5. The current in coil 1 is I₁=6t² A. Determine the magnitude of mutually induced EMF in coil 2 at t=2 s, in volt.

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• Multi-correctmediumElectromagnetic InductionMutual Inductance

  For two magnetically coupled passive coils, which statements are correct?

  Select all that apply

  • Option A

    |M|≤√(L₁L₂).

  • Option B

    The sign of mutual EMF depends on winding orientation and current direction.

  • Option C

    Mutual inductance is measured in henry.

  • Option D

    M must always equal √(L₁L₂).

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• MCQmediumElectromagnetic InductionMutual Inductance

  Two coils have L₁=4 H and L₂=9 H with coefficient of coupling k=0.5. Determine their mutual inductance.

  Options

  • Option A

    1 H

  • Option B

    3 H

  • Option C

    6 H

  • Option D

    18 H

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• Multi-correctmediumElectromagnetic InductionMutual Inductance

  Two identical coils each have self-inductance L and mutual inductance M. Which statements are correct?

  Select all that apply

  • Option A

    Series-aiding inductance is 2(L+M).

  • Option B

    Series-opposing inductance is 2(L-M).

  • Option C

    The difference of the two measured inductances is 4M.

  • Option D

    Their arithmetic mean is 2L.

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• MCQmediumElectromagnetic InductionMutual Inductance

  Two coils have L₁=16 mH and L₂=25 mH. If k=0.60, determine M.

  Options

  • Option A

    6 mH

  • Option B

    12 mH

  • Option C

    20 mH

  • Option D

    24 mH

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• MCQmediumElectromagnetic InductionMutual Inductance

  An ideal transformer has Nₚ/Nₛ=5. A secondary load is 12+j16 Ω and the primary voltage is 250 V RMS. Determine the primary-current magnitude and source power factor.

  Options

  • Option A

    0.5 A and 0.6 lagging

  • Option B

    2.5 A and 0.8 lagging

  • Option C

    0.5 A and 0.8 lagging

  • Option D

    2 A and 0.6 lagging

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• NumericmediumElectromagnetic InductionMutual Inductance

  Two coils have L₁=4 H, L₂=9 H and M=3 H. Determine 100k, where k is their coefficient of coupling.

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• Multi-correctmediumElectromagnetic InductionMutual Inductance

  For two coupled coils carrying currents I₁ and I₂, the magnetic energy contains a mutual term ±MI₁I₂. Which statements are correct?

  Select all that apply

  • Option A

    Its sign depends on relative orientation.

  • Option B

    Mutual coupling changes total stored energy.

  • Option C

    A passive pair must satisfy M²≤L₁L₂.

  • Option D

    Mutual inductance has the dimensions of resistance.

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