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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

`ksqrt6`

B

`2ksqrt6`

C

`2ksqrt3`

D

`4ksqrt3`

Text Solution

Verified by Experts

The correct Answer is:
B
`E_x= (sigma v)/(sigma x)=-4kx, E_y=- (sigma v)/(sigma y)=+2 ky and E_z= - (sigma v)/ (sigma z)=2 kz`
`vec E=-4 kx I +2ky hat j -2kz hat k, vec E =-4k hat I +2 hat j -2 hat k hat k =E=2 sqrt6 K`
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