Motional Electromotive Force questions with solutions

Showing 1–10 of 10 questions

• MCQmediumElectromagnetic InductionMotional Electromotive Force

  A rectangular loop of height L and width a moves with speed v along +x through a perpendicular field B(x)=B₀$e^(-kx).$ If its left edge is at x, find the induced EMF magnitude.

  Options

  • Option A

    B₀Lv $e^(-kx)$

  • Option B

    B₀Lv $e^(-kx)(1-e^(-ka))$

  • Option C

    B₀Lav $e^(-kx)$

  • Option D

    kB₀Lav $e^(-kx)$

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• MCQmediumElectromagnetic InductionMotional Electromotive Force

  A radial conducting rod extends from radius a to radius b and rotates about the common axis with angular speed ω in a uniform axial magnetic field B. Find the potential difference magnitude between its ends.

  Options

  • Option A

    Bω(b-a)²/2

  • Option B

    Bω(b²-a²)/2

  • Option C

    Bω(b²+a²)/2

  • Option D

    Bωab

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• NumericmediumElectromagnetic InductionMotional Electromotive Force

  A 2 m conducting rod rotates about a point 0.5 m from one end with angular speed 4 rad/s in a perpendicular uniform field of 3 T. Determine the magnitude of potential difference between the two ends, in volt.

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• NumericmediumElectromagnetic InductionMotional Electromotive Force

  $A_0.50$ m conducting rod moves at 8 m/s perpendicular to a 2 T magnetic field and forms part of a closed circuit of total resistance 4 Ω. Determine the Joule-heating rate in watt.

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• MCQmediumElectromagnetic InductionMotional Electromotive Force

  A conducting rod of length L rotates with angular speed ω about one end in a uniform magnetic field B perpendicular to the plane of rotation. Find the potential difference between its ends.

  Options

  • Option A

    BωL²

  • Option B

    BωL²/2

  • Option C

    BωL²/4

  • Option D

    2BωL²

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• MCQmediumElectromagnetic InductionMotional Electromotive Force

  A square loop of side a moves with speed v along the x-axis in a perpendicular field B(x)=B₀+kx. When its left edge is at x, determine the magnitude of induced EMF.

  Options

  • Option A

    kav

  • Option B

    ka²v

  • Option C

    2kav

  • Option D

    B₀av

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• MCQmediumElectromagnetic InductionMotional Electromotive Force

  A rod directed from A to B has length vector ℓ and moves with velocity v in a uniform magnetic field B. Which expression gives the potential of B relative to A after charge separation?

  Options

  • Option A

    (v×B)·ℓ

  • Option B

    -(v×B)·ℓ

  • Option C

    (B×v)·ℓ

  • Option D

    Zero always

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• Multi-correctmediumElectromagnetic InductionMotional Electromotive Force

  A rectangular conducting loop moves rigidly with constant velocity while remaining completely inside a uniform magnetic field perpendicular to its plane. Which statements are correct?

  Select all that apply

  • Option A

    Flux through the loop remains constant.

  • Option B

    Net EMF around the complete loop is zero.

  • Option C

    Individual moving segments can have motional EMF.

  • Option D

    A continuous current must flow.

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• Multi-correctmediumElectromagnetic InductionMotional Electromotive Force

  A straight conducting rod moves through a uniform magnetic field with velocity perpendicular to the field. Which statements are correct?

  Select all that apply

  • Option A

    Free charges experience magnetic force q(v×B).

  • Option B

    Charge separation creates an electrostatic field.

  • Option C

    At equilibrium electric and magnetic forces balance.

  • Option D

    A continuous current must flow even when the rod is open-circuited.

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• MCQmediumElectromagnetic InductionMotional Electromotive Force

  A conducting rod of length L moves with speed v in a uniform magnetic field B such that the rod, velocity and field are mutually perpendicular. The rod is isolated. After electrostatic equilibrium is established, what is the magnitude of the electric field inside the rod?

  Options

  • Option A

    Bv

  • Option B

    Bv/2

  • Option C

    BLv

  • Option D

    Zero

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