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
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a
BP=μoI2πrat r=3R
b
BP=μoI3πrat r=3R2
c
BP=μoIπrat r=3R
d
BP=2μoIπRat r=3R2
answer is A.
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Detailed Solution
At r =3R2, BP=μo(2i)2π(3R/2)=2μoi3πRAt r=3R , BP=μo(i+2i)2π(3R)=μoi2πR
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