In a uniform electric fieled, the potent...

In a uniform electric fieled, 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

` 4 V`

C

` v`

D

` 1 0V`

Verified by Experts

The correct Answer is:

B

` vec E = 2 hat I + 2 har j + 2 hat k`
` dV =- vec E . Vec (dr)`
` V-10 =- (D_x dx+E_y dy + E_z dz)`
` V= 10 =- (2 +2 +2) rArr V =4` volt .

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