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There exist electric field in space such...


There exist electric field in space such that potential gradient along y-axis and z-axis is zero. Figure shows variation of potential with x coordinate. It implies that there should be

A

A.An infinite long line charge parallel to z-axis at `x=2a` with linear charge density `lamda=(3V_(0)epsilon_(0))/(2a)`

B

B.An infinite large sheet parallel to yz plane at `x=2a` with surface charge density `sigma=(V_(0)epsilon_(0))/(2a)`

C

C.An infinite large sheet parallel to yz plane at `x=2a` withh surface charge density `sigma=(V_(0)epsilon_(0))/(a)`

D

D.An inifinite large sheet parallel to yz plane at `x=2a` with surface charge density `sigma=(3V_(0)epsilon_(0))/(2a)`

Text Solution

Verified by Experts

The correct Answer is:
D
`xlt2a` `E=(V_(0))/(2a)`
`xge2a` `E=(V_(0))/(a)`

Gauss law for cylindrical
`(V_(0))/(2a)A+(V_(0))/(a)A=(sigmaA)/(epsilon_(0))`
`sigma=(3V_(0)epsilon_(0))/(2a)`
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