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Field inside and outside a thick wire, hollow cylinder or coaxial cable (Ampere's law)

This type of question, asked 8 times: 2021 Paper 17, 25 Jun 2022, 28 Jun 2022, 6 Apr 2023, 8 Apr 2024, 24 Jan 2025, 29 Jan 2025, 28 Jan 2026 S2. All 8 questions below, oldest first.

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  1. Question 1

    2021 Paper 17

    12
    Figure AA and BB shown two long straight wires of circular cross-section (aa and bb with a<ba < b), carrying current I which is uniformly distributed across the cross-section. The magnitude of magnetic field BB varies with radius rr and can be represented as:

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  2. Question 2

    25 Jun 2022

    10
    A long straight wire with a circular cross-section having radius RR, is carrying a steady current II. The current II is uniformly distributed across this cross-section. Then the variation of magnetic field due to current I with distance rr (r<R)(r < R) from its centre will be:

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  3. Question 3

    28 Jun 2022

    10
    An infinitely long hollow conducting cylinder with radius RR carries a uniform current along its surface. Choose the correct representation of magnetic field (b) as a function of radial distance (r) from the axis of cylinder.

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  4. Question 4

    6 Apr 2023

    20
    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

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  5. Question 5

    8 Apr 2024

    100
    A long straight wire of radius a carries a steady current I. The current is uniformly distributed across its cross section. The ratio of the magnetic field at a2\frac{a}{2} and 2a2a from axis of the wire is :

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  6. Question 6

    24 Jan 2025

    80
    A long straight wire of a circular cross-section with radius ' aa ' carries a steady current II. The current II is a uniformly distributed across this cross-section The plot of magnitude of magnetic field BB with distance rr from the centre of the wire is given by

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  7. Question 7

    29 Jan 2025

    9
    Consider a long straight wire of a circular cross-section (radius a) carrying a steady current I. The current is uniformly distributed across this cross-section. The distances from the centre of the wire's cross-section at which the magnetic field [inside the wire, outside the wire] is half of the maximum possible magnetic field, any where due to the wire, will be

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  8. Question 8

    28 Jan 2026 S2

    14
    A long cylindrical conductor with large cross section carries an electric current distributed uniformly over its cross-section. Magnetic field due to this current is : (A) maximum at either ends of the conductor and minimum at the midpoint (B) maximum at the axis of the conductor (C) minimum at the surface of the conductor (D) minimum at the axis of the conductor (E) same at all points in the cross-section of the conductor Choose the correct answer from the options given below :

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