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Two parallel infinite line charge with l...

Two parallel infinite line charge with linear charge densities `+lambda C//m` and `-lambda C//m` are placed at a distance of 2R in free space. What is the electric field mid-way between the two line charges ?

A

`lambda/(2piepsilon_(0)R)N/C`

B

zero

C

`(2lambda)/(piepsilon_(0)R)N/C`

D

`lambda/(piepsilon_(0)R) N/C`

Text Solution

Verified by Experts

The correct Answer is:
D
Electric field at midpoint between two parallel charged lines,
`vecE = vecE_(+lambda) + vecE_(-lambda)`

`=lambda/(2piepsilon_(0)R) + lambda/(2piepsilon_(0)R)`
`=lambda/(piepsilon_(0)R) N/C`
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