1.

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)` isA. `-(6hati+9hatj+hatk)`B. `-(3hati+5hatj+3hatk)`C. `-(6hati+5hatj+2hatk)`D. `-(2hati+3hatj+hatk)`

Answer» Correct Answer - 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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