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A wire of length 10cm is bent into an ar...

A wire of length `10cm` is bent into an arc of a circle such that it subtends an angle of 1 radian at the centre. If a current of `1A` is passed through the wire, the magnetic induction at the centre of the circle will be

A

`2xx10^(-4)` tesla

B

`1xx10^(-6)` tesla

C

`1xx10^(-4)` tesla

D

`2xx10^(-6)` tesla

Text Solution

Verified by Experts

The correct Answer is:
2
`B=(mu_(0)itheta)/(4pir)`
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Knowledge Check

  • A wire of length 'L' is bent in to an arc of a circle and found to subtentd and angle of 'theta' radians at the centre.If a current of 'I' is passed through it, the magnetic induction at the center of the circle is

    A
    `(mu_(0)itheta^(2))/(2piL)`
    B
    `(mu_(0)itheta^(2))/(4piL)`
    C
    `(mu_(0)itheta)/(4piL)`
    D
    `(mu_(0)itheta)/(2piL)`

  • A magnetised wire of moment M is bent into an arc of a circle subtending an angle of 60^(@) at the centre. The new magnetic moment is

    A
    `(2M//pi)`
    B
    `(M//pi)`
    C
    `(3sqrt(3)M//pi)`
    D
    `(3M//pi)`

  • In a circle of radius 21 cm, an arc subtends an angle of 72 at the centre. The length of the arc is

    A
    21.6 cm
    B
    26.4 cm
    C
    13.2 cm
    D
    19.8 cm

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