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 R2,y,R2 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
The magnitude of magnetic field at PR2,y,R2 is B=μ0Jr2=μ0i2πR2×R2=μ0i22πRB^=i^-k^2 ( shown by dotted lines) ∴B→=BB^=μ0i4πR(i^-k^)
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 R2,y,R2 is