ampere's law and its application questions with solutions

Showing 1–10 of 24 questions

• MCQmediumMagnetic effect of currentampere's law and its application

  A long hollow cylindrical conductor has inner radius a and outer radius b and carries total current I uniformly through its conducting cross-section. Find B at a<r<b.

  Options

  • Option A

    μ₀I(r²-a²)/[2πr(b²-a²)]

  • Option B

    μ₀Ir/[2π(b²-a²)]

  • Option C

    μ₀I/(2πr)

  • Option D

    Zero

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• MCQmediumMagnetic effect of currentampere's law and its application

  An infinite solid cylindrical wire of radius R carries current I uniformly over its cross-section. At what distance from the centre is the magnetic field equal to μ₀I/(4πR)?

  

  Options

  • Option A

    R/2

  • Option B

    R

  • Option C

    4R

  • Option D

    0

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• Multi-correctmediumMagnetic effect of currentampere's law and its application

  For an ideal coaxial cable carrying equal and opposite currents, which statements are correct?

  Select all that apply

  • Option A

    Magnetic field can exist between the conductors.

  • Option B

    The external magnetic field can vanish.

  • Option C

    Ampere's law directly gives B in cylindrically symmetric regions.

  • Option D

    The field between the conductors is uniform.

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• MCQmediumMagnetic effect of currentampere's law and its application

  A solenoid contains a core of relative permeability μᵣ = 400. The magnetic field inside the solenoid is 1.0 T. If the magnetic field intensity is written as H = α×10⁵ A·m⁻¹ and μ₀ = 4π×10⁻⁷ T·m·A⁻¹, what is α?

  Options

  • Option A

    25 /π

  • Option B

    1 /(16π)

  • Option C

    1 /π

  • Option D

    1 /(4π)

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• MCQeasyMagnetic effect of currentampere's law and its application

  A long straight wire of circular cross-section (radius a) is carrying steady current I. The current I is uniformly distributed across this cross-section. The magnetic field is

  Options

  • Option A

    zero in the region r < a and inversely proportional to r in the region r > a

  • Option B

    inversely proportional to r in the region r < a and uniform throughout in the region r > a

  • Option C

    directly proportional to r in the region r < a and inversely proportional to r in the region r > a

  • Option D

    uniform in the region r < a and inversely proportional to distance r from the axis, in the region r > a

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  JEE Mains6 April 2023Shift 1Morning Shift

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• MCQmediumMagnetic effect of currentampere's law and its application

  An ideal coaxial cable has inner conductor carrying current +I and outer conductor carrying current -I. What is the magnetic field outside the outer conductor?

  Options

  • Option A

    μ₀I/(2πr)

  • Option B

    μ₀I/(πr)

  • Option C

    Zero

  • Option D

    It depends only on the inner radius

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• Multi-correctmediumMagnetic effect of currentampere's law and its application

  A long solid cylindrical wire carries uniformly distributed current. Which statements are correct?

  Select all that apply

  • Option A

    Inside the wire B increases linearly with r.

  • Option B

    B is zero on the axis.

  • Option C

    Outside the wire B decreases as 1/r.

  • Option D

    B is discontinuous at the surface.

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• MCQeasyMagnetic effect of currentampere's law and its application

  In a co-axial straight cable, the central conductor and the outer conductor carry equal currents in opposite directions. The magnetic field is zero:

  Options

  • Option A

    inside the outer conductor

  • Option B

    in between the two conductors

  • Option C

    outside the cable

  • Option D

    inside the inner conductor

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  JEE Mains 2024 05 Apr Morning Shift

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• MCQmediumMagnetic effect of currentampere's law and its application

  Given below are two statements:

  Statement (I): When currents vary with time, Newton's third law is valid only if momentum carried by the electromagnetic field is taken into account.

  Statement (II): Ampere's circuital law does not depend on Biot-Savart's law.

  In the light of the above statements, choose the correct answer from the options given below:

  Options

  • Option A

    Both Statement I and Statement II are false.

  • Option B

    Statement I is true but Statement II is false.

  • Option C

    Statement I is false but Statement II is true.

  • Option D

    Both Statement I and Statement II are true.

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  JEE Mains 2024 09 Apr Morning Shift

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• MCQmediumMagnetic effect of currentampere's law and its application

  A long solid cylindrical conductor of radius R carries current density J=J₀r². Find B at radius r<R.

  Options

  • Option A

    μ₀J₀r³/4

  • Option B

    μ₀J₀r³/2

  • Option C

    μ₀J₀r²/4

  • Option D

    μ₀J₀R²r/4

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