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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a
50 µT
b
12.5 µT
c
5 µT
d
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)