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Self-inductance from the flux per turn, the number of turns and the current

This type of question, asked 5 times: 4 May 2023 S2, 11 May 2023 S2, 11 May 2024 S1, 14 May 2024 S2, 18 Apr 2026 S2. All 5 questions below, oldest first.

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  1. Question 1

    4 May 2023 S2

    45
    A current of 0.5 A is passed through winding of a long solenoid having 400 turns. The magnetic flux linked with each turn is [3]×10−3[3] \times 10^{-3} Wb. The self inductance of the solenoid is

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  2. Question 2

    11 May 2023 S2

    40
    A closely wound coil of 100 turns and of cross-section 1 cm21\ \text{cm}^2 has coefficient of self inductance 1 mH. The magnetic induction at the centre of the core of a coil when a current of 2 A flows in it, will be (in Wb/m2\text{Wb/m}^2)

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  3. Question 3

    11 May 2024 S1

    14
    When a current of 1 A is passed through a coil of 100 turns, the flux associated with it is 2.5×10−52.5 \times 10^{-5} Wb/turn. The self inductance of the coil in millihenry is

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  4. Question 4

    14 May 2024 S2

    32
    A long solenoid has 1500 turns. When a current of 35 A flows through it, the magnetic flux linked with each turn of the solenoid is 2.8×10−2 Wb2.8 \times 10^{-2}\,\text{Wb}. The self-inductance of the solenoid is

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  5. Question 5

    18 Apr 2026 S2

    134
    Two coils A and B have 180 and 360 turns respectively. The current of 1A flows through both the coils. Due to current of 1A in coil A, flux per turn of 0.8×10−30.8 \times 10^{-3} Wb is linked with coil A. Due to current of 1A in coil B, flux per turn of 1×10−31 \times 10^{-3} Wb is linked with coil B. The self inductance of coil A is LAL_A and the self inductance of coil B is LBL_B. The ratio LAL_A to LBL_B is

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