First slide
Ampere's circuital law

A cylindrical conductor of radius R is carrying a constant current. The plot of the magnitude of the magnetic field, B with the distance, d from the centre of the conductor, is correctly represented by the figure


Magnetic field due to long solid cylindrical conductor of radius R

 (i)For d<R,I'=Id2R2 B·dl=μ0I'B(2πd)=μ0Id2R2B=μ0Id2πR2  Bd  (ii)For d=R,B=μ0I/2πR (maximum  (iii)For d>R,B=μ0I/2πd  B1/d 

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