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The electric potential in a region is re...

The electric potential in a region is represented a `v = 2x + 3y - z`. Obtain expression for electric field strength.

A

`E=-2hati-4hatj+hatk`

B

`E=-2hati-3hatj+1hatk`

C

`E=-2hati-3hatj+hatk`

D

`E=-2hati-3hatj+5hatk`

Text Solution

Verified by Experts

The correct Answer is:
C
`E=-[(delV)/(delx)hati=(delV)/(dely)hatj+(delV)/(delz)hatk]`
`(delV)/(delx)=del/(delx)(2x+3y-z)=2`
`(delV)/(dely)=del/(dely)(2x_3y-z)=3`
`(delV)/(delz)=del/(delz)(2x+3y-z)=-1`
`:.E=-2hati-3hatj+hatk`
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