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A wire is bent in the form of a circular...

A wire is bent in the form of a circular arc of radius r with a straight portion AB. If the current in the wire is `i`, then the magnetic induction at point O is

A

`(mu_(0)i)/(2pir) tan phi`

B

`(mu_(0)i)/(2pi r) (pi - phi)`

C

`(mu_(0)i)/(2pi r) (pi - phi + tan phi)`

D

`(mu_(0)i)/(2pir)(pi + tan phi)`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • A wire is bent in the form of a circular arc with a straight portion AB. Magnetic induction at O when current flowing in the wire, is

    A
    `(mu_0)/(2r) (pi- theta+tan theta)`
    B
    `(mu_0I)/(2piR) (pi+ theta- tan theta)`
    C
    `(mu_0I)/(2piR) (pi- theta+ tantheta)`
    D
    `(mu_0I)/(2piR) (-tan theta+pi- theta)`

  • Figure. Shows a small loop carrying a current I. The curved portion is an arc of a circle of radius R and the straight portion is a chord to the same circle subtending an angle theta . The magnetic induction at centor O is

    A
    zero
    B
    always inward irrespective of the value `theta`
    C
    inward as long as `theta` is less than `pi`
    D
    always outward irrespective of the value of `theta`

  • A current I flows through a long straight conductor which is bent into a circular loop of radius R in the middle as shown in the figure . The magnitude of the net magnetic field at point O will be

    A
    Zero
    B
    `(mu_0I)/(2R)(1+pi)`
    C
    `(mu_0I)/(4piR)`
    D
    `(mu_0I)/(2R)(1-1/pi)`

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