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Gauss Law for Magnetism

Question

In the figure shown, the magnetic induction at the center of their arc due to the current in the potion $$AB$$ will be

A

$$\dfrac {\mu_0i}{r}$$

B

$$Zero$$

C

$$\dfrac {\mu_0i}{4r}$$

D

$$\dfrac {\mu_0i}{2r}$$

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Solution

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Correct option is D. $$Zero$$
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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