First slide
Ampere's circuital law
Question

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

Difficult
Solution

r=R2,  B=μ0IR/22πR2=  μ0I22πR

B=Bcos450i^+sin450k^ =μ0I4πR  i^k^

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