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In the circuit shown in figure. The ring is made of a wire of uniform cross-sectional area. If magnetic induction at the centre O produced by the segment ACB is 25µT, what will be the magnetic induction at O produced by the segment ADB ?

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50 µT

12.5 µT

5 µT

25 µT

answer is D.

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Detailed Solution

Resultant magnetic induction at O is zero.

Since the lengths of ACB and ADB are in the ratio of 5:1. The currents will divide in the ratio 1:5. As a result the magnetic induction produced by the two arcs will be equal and opposite in direction cancelling each other.

Thus magnetic induction at center is equal to zero

$∴$ magnetic induction produced by ADB

= magnetic induction produced by ACB

= 25 µT (outward)

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