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Questions  

A long cylindrical wire of radius ‘a’ carries a current  i distributed uniformly over its cross section. If the magnetic fields at distances r<a and R>a from the axis have equal magnitude, then

a
a=R+r2
b
a=Rr
c
a=Rr/R+r
d
a=R2/r

detailed solution

Correct option is B

Applying Ampere’s circular law. Inside point, B2πr=μ0Iπr2πa2 for  raTaking the ratio  rR=r2a2⇒a=Rr.

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