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Field or magnetic intensity inside a long solenoid

This type of question, asked 8 times: 2021 Paper 7, 25 Jun 2022, 24 Jan 2023, 25 Jan 2023, 31 Jan 2023, 8 Apr 2023, 5 Apr 2024, 29 Jan 2025. All 8 questions below, oldest first.

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  1. Question 1

    2021 Paper 7

    11
    A solenoid of 1000 turns per metre has a core with relative permeability 500. Insulated windings of the solenoid carry an electric current of 5 A5\text{ }A. The magnetic flux density produced by the solenoid is (permeability of free space =4π×10−7 T m A−1=4\pi\times10^{-7}\ T\,m\,A^{-1}):

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  2. Question 2

    25 Jun 2022

    101
    A long solenoid carrying a current produces a magnetic field BB along its axis. If the current is doubled and the number of turns per cmcm is halved, the new value of magnetic field will be equal to

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  3. Question 3

    24 Jan 2023

    94
    A long solenoid is formed by winding 70 turns cm−1cm^{- 1}. If 2.0 A2.0\text{ }A current flows, then the magnetic field produced inside the solenoid is (μ0=4π×10−7TmA−1)\left( \mu_{0}= 4\pi \times10^{- 7}TmA^{- 1} \right)

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  4. Question 4

    25 Jan 2023

    13
    A solenoid of 1200 turns is wound uniformly in a single layer on a glass tube 2 m2\text{ }m long and 0.2 m0.2\text{ }m in diameter. The magnetic intensity at the center of the solenoid when a current of 2 A2\text{ }A flows through it is?

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  5. Question 5

    31 Jan 2023

    20
    A rod with circular cross-section area 2 cm22{\text{ }cm}^{2} and length 40 cm40\text{ }cm is wound uniformly with 400 turns of an insulated wire. If a current of 0.4 A0.4\text{ }A flows in the wire windings, the total magnetic flux produced inside windings is 4π×10−6 Wb4\pi \times10^{- 6}\text{ }Wb. The relative permeability of the rod is (Given: Permeability of vacuum μ0=4π×10−7NA−2\mu_{0}= 4\pi \times10^{- 7}NA^{- 2} )

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  6. Question 6

    8 Apr 2023

    28
    The magnetic intensity at the centre of a long current carrying solenoid is found to be 1.6×103Am−11.6 \times10^{3}Am^{- 1}. If the number of turns is 8 per cmcm, then the current flowing through the solenoid is ____\_\_\_\_ A.
  7. Question 7

    5 Apr 2024

    111
    A solenoid of length 0.5 m0.5\text{ }m has a radius of 1 cm1\text{ }cm and is made up of ' mm ' number of turns. It carries a current of 5 A5\text{ }A. If the magnitude of the magnetic field inside the solenoid is 6.28×10−3 T6.28 \times10^{- 3}\text{ }T, then the value of mm is:
  8. Question 8

    29 Jan 2025

    96
    The magnetic field inside a 200 turns solenoid of radius 10 cm is 2.9×10−4Tesla2.9 \times10^{- 4}Tesla. If the solenoid carries a current of 0.29 A , then the length of the solenoid is ______\_\_\_\_\_\_ πcm\pi cm.