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The figure shows two identical long stra...


The figure shows two identical long straight metal wires, A and B placed parallel to z-axis the cross sectional radius of each wire is R and the separation of the two wires is `Dgt gtR`. The electric potential at a perpendicular distance `rgtR` from a long straight wire due to that wire is given by `V=-kln((r)/(R))` where `k` is a positive constant. the wires carry charges `+Q` and `-Q` per unit length respectively. Then
Q. As `D gt gt R`, the electric field due to a long straight wire has cylindrical symmetry. The charge per unit length of the wire is

A

`kepsi_(0)`

B

`pikepsi_(0)`

C

`4pikepsi_(0)`

D

`2pikepsi_(0)`

Text Solution

Verified by Experts

The correct Answer is:
C
`E=(-dV)/(dr)=(k)/(r)`
comparing with `E=(lamda)/(2piepsilon_(0)r)`
`lamda=2piepsilon_(0)k`
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