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Magnetic field induction at the centre o...

Magnetic field induction at the centre of a circular coil shown in the figure is

A

`(mu_(0)I(pi-1))/(pi r)`

B

`((mu_(0)I)(pi-1))/(2 pi r)`

C

`(mu_(0)I)/(pi r)`

D

`(mu_(0)I)/(2r) ((pi + 1)/(pi))`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • The ratio of magnetic inductions at the centre of a circular coil of radius a and on its axis at a distance equal to its radius, will be-

    A
    `1/(sqrt(2))`
    B
    `(sqrt(2))/1`
    C
    `1/(2sqrt(2))`
    D
    `(2sqrt(2))/1`

  • What is the magnetic induction at the centre of a circular coil of 10 turns, each of radius 5 cm and carrying a current of 5 A ?

    A
    `4.5xx10^(-4) Wb//m^(2)`
    B
    `5.2xx10^(-4) Wb//m^(2)`
    C
    `6.284xx10^(-4)Wb//m^(2)`
    D
    `8.45xx10^(-4)Wb//m^(2)`

  • 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`
    B
    `n:1`
    C
    `n^(2):1`
    D
    `(n+1):1`

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