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In a uniform electric field, the potenti...

In a uniform electric field, the potential is ` 10V` at the origin of coordinates , and ` 8 V` at each of the points (1, 0, 0), (0, 1, 0) and (0, 0, 1). The potential at the point (1, 1,1 ) will be .

A

0

B

`4V`

C

`8V`

D

`10V`

Text Solution

Verified by Experts

The correct Answer is:
B
Let `E=E_xhati+E_yhatj+E_2hatk`
Apply `intdV=-intE.dv`
three times and find values of `E_x,E+y and E_z`.Then again apply the same equation for given point.
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