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(j^-k^)

c

μ0I4πRj^

d

μ0I4πR(i^+k^)

answer is A.

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Detailed Solution

r=R2,B=μ0I(R/2)2πR2=μ0I22πRB→=Bcos45°i^+sin45°(-k^)=μ0I4πR[i^-k^]
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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