In fig, what is the magnetic field induction at point O ?
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a
μ0i4πr
b
μ0i4r+μ0i2πr
c
μ0i4r+μ0i4πr
d
μ0i4r-μ0i4πr
answer is C.
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Detailed Solution
B at O will be due to the following portions(i) vertical straight portion. This is zero.(ii) circular portion. This is given byBcircular =12μ0i2r=μ0i4r(iii) straight horizontal portion. This is given byBstraight =μ0i4πr∴ BTotal =μ0i4r+μ0i4πr