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Two parallel infinite line charges +lamd...

Two parallel infinite line charges `+lamda and -lamda` are placed with a separation distance R in free space. The net electric field exactly mid-way between the two line charges is

A

`(lambda)/(2pi epsilon_(0) R)N//C`

B

zero

C

`(2lambda)/(pi epsilon_(0)R)N//C`

D

`(lambda)/(pi epsilon_(0)R)N//C`

Text Solution

Verified by Experts

The correct Answer is:
D
`vecE` due to infinite line charge `=(2klambda)/(R)`

`lambda=` charge density
`vecE=vecE_(1)+vecE_(2)=(2klambda)/(R)+(2klambda)/(R)=(lambda)/(pi epsilon_(0)R)N//C`
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