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Two long wires each oflength I are place...

Two long wires each oflength I are placed on a smooth horizontal table. Wires have equal but opposite charges. Magnitude oflinear charge density on each wire is `lambda`. Calculate the work required to increase the separation between the wires from a to 2a:

A

`(lambda^(2))/(2piepsi_(0)) ln2`

B

`(lambda)/(2piepsi_(0)) ln2`

C

` (lambda)/(2piepsi_(0)) `

D

` (lambda^(2))/(2piepsi_(0)a)`

Text Solution

Verified by Experts

The correct Answer is:
A

`F=lambdaE`
`w=underset(a)overset(2a)int(lambdaE)dr=overset(2a)underset(a)int(lambda^(2)dr)/(2piepsi_(0)r)`
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