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Q.

Axis of a solid cylinder of infinite length and radius R lies along y-axis. It carries a uniformly distributed current I along +y direction. Magnetic field at a point (R/2, y, R/2) is

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a

μ0I4πR  i^−k^

b

μ0I2πR  i^−k^

c

μ0I4πR  j^

d

μ0I4πR  i^+k^

answer is A.

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Detailed Solution

r=R2,  B=μ0I R/22πR2 =  μ0I22πRB→=B cos450i^+sin450−k^ =μ0I4πR  i^−k^
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