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A cylinder wire of radius R is carrying ...

A cylinder wire of radius R is carrying uniformly distributed current I over its cross-section. If a circular loop of radius r is taken as amperian loop, then the variation value of `oint vec(B)* vec(dl)` over this loop with radius 'r' of loop will be best represented by

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
B
Current within radius `rltR`
`I_("in")=Jpir^(2)=(i)/(piR^(2))pir^(2)=(ir^(2))/(R^(2))`
for `rltR,ointvecB.dvecl=mu_(0)I_("in")=(mu_(0)ir^(2))/(R^(2))`
`rgtR,ointvecB,dvecl=mu_(0)I_("in")=mu_(0)Ito` constant
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