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Field or magnetic intensity inside a solenoid or toroid from turns and current

This type of question, asked 6 times: 3 May 2023 S1, 9 May 2023 S1, 9 May 2023 S2, 25 Apr 2025 S1, 20 Apr 2026 S1, 20 Apr 2026 S2. All 6 questions below, oldest first.

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  1. Question 1

    3 May 2023 S1

    40
    A current of 5 A flows through a toroid having a core of mean radius 20 cm. If 4000 turns are wound on the core, then the magnetic field inside the core is [μ0=4π×10−7 SI\mu_0=4\pi\times10^{-7}\ \text{SI}]

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  2. Question 2

    9 May 2023 S1

    32
    The magnetic field intensity inside a current-carrying solenoid is 2.4×103 Am−12.4 \times 10^3\,\text{Am}^{-1}. If length and number of turns of a solenoid is 15 cm and 60 turns respectively. The current flowing in the solenoid is

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  3. Question 3

    9 May 2023 S2

    43
    A long solenoid carrying a current produces magnetic field B along its axis. If the number of turns per cm are tripled and the current is made 14\frac{1}{4}th then the new value of magnetic field will be

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  4. Question 4

    25 Apr 2025 S1

    11
    The magnetic field intensity H at the center of a long solenoid having nn turns per unit length and carrying a current I, when no material is kept in it is ( μ0=\mu_{0}= permeability of free space)

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  5. Question 5

    20 Apr 2026 S1

    133
    A long solenoid carrying a current produces a magnetic field 'BB' along its axis. If the current is tripled and the number of turns per cm is halved then new value of magnetic field will be

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  6. Question 6

    20 Apr 2026 S2

    134
    A solenoid of 1000 turns is wound uniformly on a glass tube 4 m long and 0.30.3 m in diameter. The magnetic intensity at the centre of the solenoid when a current of 4 A flows through it is

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