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The magnetic moment of a circular coil ...

The magnetic moment of a circular coil carrying current is

A

Directly proportional to the length of the wire in the coil

B

Inversely proportional to the length of the wire in the coil

C

Directly proportional to the square of the length of the wire in the coil

D

Inversely proportional to the square of the length of the wire in the coil

Text Solution

Verified by Experts

The correct Answer is:
C

`M=NiAimpliesMpropAimpliesMpropr^(2)` (As `l=2pirimplieslpropr`)
` implies Mpropl^(2)`
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Knowledge Check

  • The magnetic field at the centre of a circular coil carrying current I ampere is B. It the coil is bent into smaller circular coil of n turns then its magnetic field at the centre is B, the ratio between B' and B is

    A
    `1:1`
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  • The magnetic moment of a current (i) carrying circular coil of radius (r) and number of turns (n) varies as

    A
    `1//r^(2)`
    B
    `1//r`
    C
    r
    D
    `r^(2)`
  • The magnetic moment of a current I carrying circular coil of radius ?" and number of turns N varies as

    A
    `(1)/(r^(2))`
    B
    `(1)/(r)`
    C
    r
    D
    `r^(2)`
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