Self Inductance questions with solutions

Showing 1–10 of 10 questions

• MCQmediumElectromagnetic InductionSelf Inductance

  The current in an inductor grows as I=I₀(1-$e^(-t/τ)).$ At what time does the magnitude of self-induced EMF become one-fourth of its initial value?

  Options

  • Option A

    τ ln2

  • Option B

    τ ln4

  • Option C

    2τ

  • Option D

    4τ

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• Multi-correctmediumElectromagnetic InductionSelf Inductance

  A series LR circuit is connected to a DC battery. At t=L/R after closing the switch, which statements are correct?

  Select all that apply

  • Option A

    Current is about 63.2% of its final value.

  • Option B

    Inductor voltage is about 36.8% of the battery voltage.

  • Option C

    Resistor voltage is about 63.2% of the battery voltage.

  • Option D

    Stored magnetic energy is about 63.2% of its final value.

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• MCQmediumElectromagnetic InductionSelf Inductance

  A DC source of EMF E is connected to a series LR circuit. At the instant when the current equals half its final value, what is the magnitude of the voltage across the inductor?

  Options

  • Option A

    E

  • Option B

    E/2

  • Option C

    E/4

  • Option D

    Zero

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• NumericmediumElectromagnetic InductionSelf Inductance

  The current in a 4 H inductor increases from 2 A to 6 A. Determine the increase in stored magnetic energy, in joule.

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• MCQmediumElectromagnetic InductionSelf Inductance

  A series LR circuit has time constant τ. If resistance is doubled while inductance remains unchanged, how does the time required to reach 90% of final current change?

  Options

  • Option A

    It doubles.

  • Option B

    It halves.

  • Option C

    It remains unchanged.

  • Option D

    It becomes four times.

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• Multi-correctmediumElectromagnetic InductionSelf Inductance

  An ideal battery is connected to an initially unenergized series LR circuit. Which statements are correct after steady state is reached?

  Select all that apply

  • Option A

    The inductor stores LI∞²/2.

  • Option B

    Energy is dissipated as heat during current growth.

  • Option C

    At steady state the ideal inductor has zero voltage.

  • Option D

    The ideal inductor continuously consumes average power at steady state.

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• NumericmediumElectromagnetic InductionSelf Inductance

  A 10 H inductor and a 5 Ω resistor are connected in series to a 20 V ideal battery. Determine the current, in ampere, at t=2ln2 s after closing the switch.

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• Multi-correctmediumElectromagnetic InductionSelf Inductance

  For an ideal inductor of inductance L, which statements are correct?

  Select all that apply

  • Option A

    The induced EMF is -L dI/dt.

  • Option B

    The induced EMF opposes the change in current.

  • Option C

    Stored magnetic energy is LI²/2.

  • Option D

    Stored energy depends on the sign of current.

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• MCQmediumElectromagnetic InductionSelf Inductance

  The flux linkage of a nonlinear coil is NΦ=aI+bI³. Determine the instantaneous self-induced EMF.

  Options

  • Option A

    -(a+bI²)dI/dt

  • Option B

    -(a+3bI²)dI/dt

  • Option C

    -(aI+bI³)dI/dt

  • Option D

    -3bI²dI/dt

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• MCQmediumElectromagnetic InductionSelf Inductance

  An inductor carrying steady current I₀ is disconnected from its battery and discharges through resistance R. Find the time for its magnetic energy to become one-fourth of the initial value.

  Options

  • Option A

    (L/R)ln2

  • Option B

    (L/2R)ln2

  • Option C

    (2L/R)ln2

  • Option D

    L/R

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