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Potential Gradient and Relation between Electric Field and Potential

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determine the electric field strength vector if the potential of this field depends on x,y coordinates as v=10 axy

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Q. Determine the electric field strength vector if the potential of this field depends on

x, y

V = 10 a x y

.

Q. Determine the electric field strength vector if the potential of the field depends on x, y coordinates as

V = a x y

a

Q. Determine the electric field strength vector if the potential of the field depends on x, y coordinates as

V = a (x^{2} - y^{2})

, where a is a constant.

The electric field strength if the potential of field depends upon x, y coordinates as $V = a (x^{2} - y^{2})$ is:

Q. The electric field potential at a point in the space region depends only on x coordinates as

V = - a x^{3} + b

. The space charge density

ρ

n a ε_{0} x

n

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