Questions

Find the magnitude of the magnetic induction B of a magnetic field generated by a system of thin conductors along which a current I is flowing at a point A (O, R, O), that is the centre of a circular conductor of radius R. The ring is in yz plane.

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a

B=μ0i4πR2π2-2π+1

b

B=μ0i4πR22π2-2π+1

c

B=μ0i2πR2π2-2π+1

d

None of these

detailed solution

Correct option is B

B→A=μ0R4πRk^+μ0I2Ri^-μ0I4πRj^ BA=μ0I4πR(2π-1)2+(1)2=μ0I4πR22π2-2π+1

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