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Factor change in a coil's self-inductance when turns, dimensions or the core change

This type of question, asked 11 times: 2 May 2023 S2, 11 May 2023 S1, 11 May 2023 S2, 15 May 2023 S1, 15 May 2023 S2, 16 May 2023 S2, 21 Apr 2025 S2, 25 Apr 2025 S2, 15 Apr 2026 S2, 13 May 2026 S1, 13 May 2026 S2. All 12 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2 May 2023 S2

    8
    An air-cored coil has self-inductance of 0.1 H. A soft iron core of relative permeability 1000 is introduced and the number of turns is reduced to 110\frac{1}{10}th. The value of self-inductance is now

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  2. Question 2

    11 May 2023 S1

    2
    When the number of turns in a coil is doubled without any change in the length of the coil, its self-inductance

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  3. Question 3

    11 May 2023 S2

    14
    If number of turns per unit length in a solenoid is tripled, the self-inductance of solenoid will

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  4. Question 4

    15 May 2023 S1

    31
    Two solenoids of equal number of turns have their lengths as well as radii in the same ratio 1:3. The ratio of their self inductance will be

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  5. Question 5

    15 May 2023 S1

    2
    When the number of turns in a coil are made 3 times without any change in the length of the coil, its self-inductance becomes

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  6. Question 6

    15 May 2023 S2

    36
    An air cored coil has a self-inductance 0.1 H. A soft iron core of relative permeability 1000 is introduced and the number of turns is reduced 110\frac{1}{10}th. The value of self-inductance is

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  7. Question 7

    16 May 2023 S2

    47
    A coil is wound on a core of rectangular cross-section. If all the linear dimensions of the core are increased by a factor 2 and number of turns per unit length of coil remains same, the self-inductance increases by a factor of (Assume permeability is same)

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  8. Question 8

    21 Apr 2025 S2

    12
    A coil is wound on a core of rectangular cross-section. If all the linear dimensions of core are increased by a factor 3 and number of turns per unit length of coil remains same, the self-inductance increases by a factor

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  9. Question 9

    25 Apr 2025 S2

    20
    A coil of wire of radius ' rr ' has 600 turns and a self-inductance of 108 mH . The self-inductance of a coil with same radius and 500 turns is

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  10. Question 10

    15 Apr 2026 S2

    136
    Two solenoids A and B of equal number of turns have their lengths and radii in the same ratio 1:31 : 3. The ratio of the self-inductance of solenoid A to that of B will be

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  11. Question 11

    13 May 2026 S1

    134
    An air cored coil has a self inductance of 0.10.1 H. A soft iron core of relative permeability 10001000 is introduced inside cored coil and number of turns reduced to (110)th\left(\dfrac{1}{10}\right)^{th}. The value of self inductance now becomes

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  12. Question 12

    13 May 2026 S2

    135
    A coil of wire of radius rr has 600600 turns and a self-inductance of 108108 mH. The self inductance of a coil with same radius and 500500 turns is

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