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A circular coil of radius 20 cm and 20 t...

A circular coil of radius `20 cm` and `20` turns of wire is mounted vertically with its plane in magnetic meridian.A small magnetic needle (free to rotate about vertical axis) is placed at the center of the coil.It is deflected through `45^(@)` when a current is passed through the coil and in equilbrium (Horizontal component of earth's field is `0.34 xx 10^(-4) T`).The current in coil is:

Text Solution

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The correct Answer is:
0.573 A
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Knowledge Check

  • A circular coil of radius 40 mm consists of 250 turns of wire in which the current is 20 mA. The magnetic field at the centre of the coil is

    A
    `7.9 xx 10^(-5)T`
    B
    `7.9 xx 10^(-6)T`
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    `7.9 xx 10^(-4)T`
    D
    `7.9 xx 10^(-3)T`
  • A circular coil of radius 4 cm and of 20 turns carries a current of 3 amperes. It is placed in a magnetic field of intensity of 0.5 weber//m^(2) . The magnetic dipole moment of the coil is

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    `0.15 ampere-m^(2)`
    B
    `0.3 ampere-m^(2)`
    C
    `0.45 ampere-m^(2)`
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    `0.6 ampere-m^(2)`
  • A circular coil of radius 10 cm having 100 turns carries a current of 3.2 A. The magnetic field at the center of the coil is

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    `2.01 xx 10^(-3)T`
    B
    `5.64 xx 10^(-3)T`
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