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Q.

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
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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