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Q.

An infinite, straight wire has two concentric loops of radii a and b carrying equal currents in opposite directions as shown. The magnetic field at the common centre is zero for

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a

ab = π−1π

b

ab = ππ+1

c

ab = π-1π+1

d

ab = π+1π-1

answer is B.

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Detailed Solution

Bcentre = 0μ0I4πb ⊙  +  μ0I4πb ⊙  +μ0I2b ⊙  + μ0I2a ⊗ =0μ0I2πb + μ0I2b − μ0I2a = 012πb+ 12b=12aab=ππ+1
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