Ampere's Circuital Law and Its Applications questions with solutions

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• MCQmediumMagnetic effect of currentAmpere's Circuital Law and Its Applications

  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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  JEE Mains 2025 29 Jan Morning Shift

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• MCQeasyMagnetic effect of currentAmpere's Circuital Law and Its Applications

  A long solenoid of length 50 cm and 100 turns carries a current of 2.5 A. Calculate the magnetic field at its centre. Take μ₀ = 4π × 10⁻⁷ T·m/A.

  Options

  • Option A

    3.14 × 10⁻⁴ T

  • Option B

    6.28 × 10⁻⁵ T

  • Option C

    3.14 × 10⁻⁵ T

  • Option D

    6.28 × 10⁻⁴ T

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  NEET 2020NEET Previous Year

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• MCQmediumMagnetic effect of currentAmpere's Circuital Law and Its Applications

  A coil of one turn is made using a given length of wire. The same wire is then reshaped into a two-turn coil. With the same current in both cases, find the ratio of magnetic fields at their centres (one-turn : two-turn).

  Options

  • Option A

    2 : 1

  • Option B

    1 : 4

  • Option C

    4 : 1

  • Option D

    1 : 2

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  AIPMT 1998NEET Previous Year

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• MCQeasyMagnetic effect of currentAmpere's Circuital Law and Its Applications

  A long solenoid of radius 1 mm has 100 turns per mm. A current of 1 A flows through it. Find the magnetic-field strength at its centre.

  Options

  • Option A

    6.28 × 10⁻² T

  • Option B

    12.56 × 10⁻² T

  • Option C

    12.56 × 10⁻⁴ T

  • Option D

    6.28 × 10⁻⁴ T

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  NEET 2022NEET Previous Year

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• MCQmediumMagnetic effect of currentAmpere's Circuital Law and Its Applications

  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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  JEE MainsNEET

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• MCQmediumMagnetic effect of currentAmpere's Circuital Law and Its Applications

  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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  JEE Mains 2026 4 April Evening Shift

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• MCQmediumMagnetic effect of currentAmpere's Circuital Law and Its Applications

  A long solid cylindrical conductor of radius R carries total current I uniformly over its cross-section. Find the magnetic field at distance r<R from the axis.

  Options

  • Option A

    μ₀Ir/(2πR²)

  • Option B

    μ₀I/(2πr)

  • Option C

    μ₀Ir²/(2πR³)

  • Option D

    μ₀I/(2πR)

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• MCQmediumMagnetic effect of currentAmpere's Circuital Law and Its Applications

  A long solid cylindrical conductor carries current uniformly along its axis. Which graph correctly describes magnetic field B versus radial distance r?

  Options

  • Option A
    
  • Option B
    
  • Option C
    
  • Option D
    

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  JEE Mains 2025 24 Jan Evening Shift

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• NumericmediumMagnetic effect of currentAmpere's Circuital Law and Its Applications

  A long solid cylindrical conductor of radius R has current density J=J₀r². Determine (field at R/2)/(field at R), where field at R is the field at the surface.

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• MCQmediumMagnetic effect of currentAmpere's Circuital Law and Its Applications

  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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