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

This really is incredible as well as what I’d been searching for. Thank you for this.