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Question

An infinitely long straight conductor is bent into the shape as shown in the figure. It carries a current of i ampere and the radius of the circular loop is r metre. Then the magnetic induction at its centre will be

A
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B
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C
Zero
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D
Infinite
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Solution

The correct option is B
The given shape is equivalent to the following diagram
The field at o due to straight part of conductor is B1=μ04π.2ir.

The field at o due to circular coil is B2=μ04π.2πir. Both fields will act in the opposite direction, hence the total field at O.
i.e. B=B2 B1=(μ04π)×(π 1)2ir=μ04π.2ir(π1)



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