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Question: A uniform electric field having a magnitude E<sub>0</sub> and direction along the positive x-axis ex...

A uniform electric field having a magnitude E0 and direction along the positive x-axis exists. If the potential V is zero at X = 0, then its value at X = +x will be-

A

V(x) = +XE0

B

V(x) = –XE0

C

V(x) = X2E0

D

V(x) = – X2E0

Answer

V(x) = –XE0

Explanation

Solution

= E0 , V(1) – V(0) = –

=dvdr\frac { - \mathrm { dv } } { \mathrm { dr } } V(x) – V(0) = – E0.x

V(x) – V(0) = –E0x

Q V(0) = 0;\ V(x) = –E0x