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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

a
ab = π−1π
b
ab = ππ+1
c
ab = π-1π+1
d
ab = π+1π-1

detailed solution

Correct option is B

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

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