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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