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Magnetic field at the centre of a circul...

Magnetic field at the centre of a circular loop of area

A

`(BA^(2))/(mu_(0)pi)`

B

`(BAsqrtA)/(mu_(0)`

C

`(BAsqrtA)/(mu_(0)pi`

D

`(2BAsqrtA)/(mu_(0)sqrtpi`

Text Solution

Verified by Experts

The correct Answer is:
D
Let r be the radius of the circular loop,
`:.A=pir^(2)orr+sqrt((A)/(pi))`
Magnetic field at the centre of the loop is `B=(mu_(0)I)/(2r)=(mu_(0)I)/(2sqrt((A)/(pi)))or1=(2B)/(mu_(0))sqrt((A)/(pi))`
The magnetic moment of the loop is
`M=LA=(2B)/(mu_(0))sqrt((A)/(pi))A=(2BAsqrtA)/(mu_(0)sqrtpi)`
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