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Field at the centre of a circular coil when turns, radius or current change

This type of question, asked 5 times: 25 Jul 2022, 26 Jul 2022, 29 Jul 2022, 29 Jan 2023, 31 Jan 2023. All 5 questions below, oldest first.

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  1. Question 1

    25 Jul 2022

    92
    The electric current in a circular coil of 2 turns produces a magnetic induction B1B_{1} at its centre. The coil is unwound and is rewound into a circular coil of 5 turns and the same current produces a magnetic induction B2B_{2} at its centre. The ratio of B2 B1\frac{B_{2}}{{\text{ }B}_{1}} is:

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  2. Question 2

    26 Jul 2022

    9
    BXB_{X} and BYB_{Y} are the magnetic field at the centres of two coils XX and YY respectively, each carrying equal current. If coil XX has 200 turns and 20 cm20\text{ }cm radius and coil YY has 400 turns and 20 cm20\text{ }cm radius, the ratio of BXB_{X} and BYB_{Y} is

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  3. Question 3

    29 Jul 2022

    26
    A closely wounded circular coil of radius 5 cm5\text{ }cm produces a magnetic field of 37.68×10−4 T37.68 \times10^{- 4}\text{ }T at its center. The current through the coil is ______A. [Given, number of turns in the coil is 100 and π=3.14]\pi = 3.14\rbrack
  4. Question 4

    29 Jan 2023

    106
    The electric current in a circular coil of four turns produces a magnetic induction 32 T32\text{ }T at its centre. The coil is unwound and is rewound into a circular coil of single turn, the magnetic induction at the centre of the coil by the same current will be:

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  5. Question 5

    31 Jan 2023

    100
    A long conducting wire having a current I flowing through it, is bent into a circular coil of NN turns. Then it is bent into a circular coil of nn turns. The magnetic field is calculated at the centre of coils in both the cases. The ratio of the magnetic field in first case to that of second case is:

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