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In a certain region of space, the potent...

In a certain region of space, the potential is given by : `V=k[2x^(2)-y^(2)+z^(2)]` The electric field at the point (1, 1, 1) has magnitude :

A

`k sqrt(6)`

B

`2k sqrt(6)`

C

`2k sqrt(3)`

D

`4k sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
`E=-((delV)/(delx)hati+(del V)/(del y)hatj+(delV)/(del z)hatk)=-k[4xhati-2yhatj+2zhatk]`
`=-k[sqrt(16+4+4)]=2k sqrt(6)`
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