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The electirc potential at a point (x, y,...

The electirc potential at a point `(x, y, z)` is given by
`V = -x^(2)y - xz^(3) + 4`
The electric field `vecE` at that point is

A

`vec(E) = hat(i) (2xy - z^(3)) + hat(j)xy^(2) + hat(k) 3z^(2)x`

B

`vec(E) = hat(i) (2xy + z^(3)) + hat(j)xy^(2) + hat(k) 3xz^(2)`

C

`vec(E) = hat(i) 2xy + hat(j) (x^(2) + y^(2)) + hat(k) (3xz - y^(2))`

D

`vec(E) = hat(i)z^(3) + hat(j) xyz + hat(k) z^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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