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Determine the electric field strength ve...

Determine the electric field strength vector if the potential of this field depends on x, coordinates as
(a) `V = a (x^2 — y^2)` (b) `V = axy`
where, a is a constant.

Text Solution

Verified by Experts

The correct Answer is:
A, B
a. `E=-[(delV)/(delx)hati+(delV)/dely)hatj]`
`=-a[(2x)hati-(2y)hatj]=-2a[xhati-yhatj]`
b. Again `E=-[(delV)/(delx)hati+(devV)/(dely)hatj]`
=`1 [yhati+xhatj]`
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