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Only circular part of the wire shown in ...

Only circular part of the wire shown in the figure has resistance `sigma` per unit length. The radii of the circles are `r` and `R` and `/_POQ=alpha` (in radian). If a potential difference `V_(P)-V_(Q)=V` is applied across the point `P` and `Q`, the magnetic field at point `O` is

A

`(mu_(0))/(4pi)(V)/(sigma)[(2pi-alpha)/(r^(2))-(alpha)/(R^(2))]`

B

`(mu_(0)V)/(4pi)[(alpha)/(r^(2))-(2pi-alpha)/(R^(2))]`

C

`(mu_(0))/(4pi)(V)/(sigma)[(1)/(r^(2))-(1)/(R^(2))]`

D

`(mu_(0))/(4pi)(sigma)/(V)[(1)/(r^(2))-(1)/(R^(2))]`

Text Solution

Verified by Experts

`i_(R )=(V)/(alphaRsigma)("cc"w)i_(r)=(V)/((2pi-alpha)rsigma)(cw)`
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