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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.

Text Solution

Verified by Experts

We know
`vecE=-[(delV)/(delx)hati+(delV)/(dely)hatj+(delV)/(delz)hatk]`
Here, `(delV)/(dely)=(del)/(dely)[2x+3y-z]=3`
`(delV)/(dely)=(del)/(dely)[2x+3y-z]=-1`
`:. vec(E)=-(2hati+3hatj-hatk)`
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