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If potential (in volts) in a region is e...

If potential (in volts) in a region is expressed as `V (x, y, z) = 6xy - y + 2yz`, the electric field (in `N//C)` at point `(1, 1, 0)` is

A

`-(6hati+9hatj+hatk)`

B

`-(3hati+5hatj+3hatk)`

C

`-(6hati+5hatj+2hatk)`

D

`-(2hati+3hatj+hatk)`

Text Solution

Verified by Experts

The correct Answer is:
C
`V=6xy-y+2yz`
`E=-(delV)/(delx)hati-(delV)/(dely)hatj-(delV)/(delz)hatk`
`E=-6yhati-(6x-1)hatj-2yhatk`
AT (1,1,0)
`E=-6hati-5hati-2hatk`
`E=-(6hati+5hatj+2hatk)`
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