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A current loop, having two circular arcs...

A current loop, having two circular arcs jo ined by two radial lines is shown in the figure. It carries a current of 10 A. The magnetic field at point O will be close to :

A

`1.0xx10^(-5)T`

B

`1.0xx10^(-7)T`

C

`1.5xx10^(-5)T`

D

`1.5xx10^(-7)T`

Text Solution

Verified by Experts

The correct Answer is:
C
Magnetic field at centre of an arc subtending angle o at the centre is `(mu_0I)/(4pir)theta`
`B=((mu_0)/(4pi))xx10(1/(3xx10^(-2))-1/(5xx10^(-2)))pi/4`
`implies pi/4 xx10^(-7) xx10^3 (2/15)`
`B = pi/30 xx10^(-4) = pi/3 xx 10^(-5) ~~ 10^(-5) T`
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