The magnetic induction at the centre $O$ of the arc due to current in portion $A B$ will be

Zero

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\frac{μ_{0} i}{r}

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\frac{μ_{0} i}{2 r}

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\frac{μ_{0} i}{4 r}

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Solution

The correct option is A Zero
The magnetic induction at $O$ due to current in portion $A B$ will be zero because $O$ lies on extended $A B$ .

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The magnetic induction at the centre O of the arc due to current in portion AB will be

The correct option is A ZeroThe magnetic induction at O due to current in portion AB will be zero because O lies on extended AB.

The magnetic induction at the centre $O$ of the arc due to current in portion $A B$ will be

The correct option is A Zero
The magnetic induction at $O$ due to current in portion $A B$ will be zero because $O$ lies on extended $A B$ .