If the electric potential is given by (\chi=cxy), calculate the electric field.

**Discussion:**

$$ E_x=-\frac{\partial\chi}{\partial x}=-cy$$

$$ E_y=\frac{\partial \chi}{\partial y}=-cx$$

Hence electric field $$ \vec{E}=-c(y\hat{i}+x\hat{j})$$

If the electric potential is given by (\chi=cxy), calculate the electric field.

**Discussion:**

$$ E_x=-\frac{\partial\chi}{\partial x}=-cy$$

$$ E_y=\frac{\partial \chi}{\partial y}=-cx$$

Hence electric field $$ \vec{E}=-c(y\hat{i}+x\hat{j})$$

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