First slide
Ampere's circuital law
Question

A solid cylindrical conductor A of radius R is carrying a current 2i. Cylindrical metallic shell of radius 2R which carries a current i as shown in the figure. If P is a point at a distance r from the common axis and BP is the magnetic induction at P, then 

Moderate
Solution

At r =3R2, BP=μo(2i)2π(3R/2)=2μoi3πR

At  r=3R , BP=μo(i+2i)2π(3R)=μoi2πR

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