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3.In a region of space an electric potential is given by
V(x, y, z) = Ax²y + By²z +Cxz°
Find the electric field and express it in a vector form.

Expert Solution

Concept and Principle:

If potential in a region is defined by the function,

$V (x, y, z)$

Then electric field vector is given by,

$\vec{E} = E_{x} \hat{i} + E_{y} \hat{j} + E_{z} \hat{k}$

Where,

$E_{x} = - \frac{\partial V}{\partial x} E_{y} = - \frac{\partial V}{\partial y} E_{z} = - \frac{\partial V}{\partial z}$

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