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Q.

An electric current i is flowing through an infinitely  long conductor bent into a loop of the shape shown in fig. The magnitude and direction of magnetic field 

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at the centre O of the circular part of the loop, will be

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a

μ0i2πr(π1) inwards 

b

μ0i2πr(π+1) inwards 

c

μ0i2πr(π1) outwards 

d

μ0i2πr(π+1) outwords 

answer is D.

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Detailed Solution

Let B1and B2 be the magnetic fields produced by circular and straight parts of the loop respectively. Then
B1=μ04π2πir
(perpendicular to the plane of loop and in outward direction) 
B2=μ04π2ir
(perpendicular to the plane of the loop and in outward direction)
 B=B1+B2=μ04π2ir(π+1) in outward direction

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