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In the figure shown, the magnetic induct...

In the figure shown, the magnetic induction at the centre of the arc due to the current in portion `AB` will be

A

`(mu_(0)i)/r`

B

`(mu_(0)i)/(2r)`

C

`(mu_(0)i)/(4r)`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
D
the magnetic induction at `O` due to the current in portion `AB` will be zero because `O` lies on `AB` when extended.
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Knowledge Check

  • The magnetic induction at the centre O in the figure shown in

    A
    `(mu_(0)i)/4(1/(R_(1))-1/(R_(2)))`
    B
    `(mu_(0)i)/4(R_(1)+R_(2))`
    C
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  • The magnetic field at the centre O of the are shown in the figure is

    A
    `2I(sqrt(2)+pi)xx(10^(-7))/(r)`
    B
    `2I(sqrt(2)+(pi)/(4))xx(10^(-7))/(r)`
    C
    `I(sqrt(2)+pi)xx(10^(-7))/(r)`
    D
    `I(sqrt(2)+(pi)/(4))xx(10^(-7))/(r)`

  • Find the magnetic induction at the origin in the figure shown.

    A
    `(mu_(0)I)/(2R)((3)/(4)hatk+(1)/(pi)hatj)`
    B
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    C
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