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  4. The given figure shows two equipotential lines in the x y plane for an electric field. Find the ratio of the magnitude of the x-component of electric field Ex to the y-component electric field Ey in the electric space between these equipotential lines.

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Q. The given figure shows two equipotential lines in the $x y$ plane for an electric field. Find the ratio of the magnitude of the $x$-component of electric field $E_{x}$ to the $y$-component electric field $E_{y}$ in the electric space between these equipotential lines.Physics Question Image

Electrostatic Potential and Capacitance

Solution:

$E_{x}=-\frac{d V}{d x}$
$\Rightarrow E_{x}=-\left(\frac{2}{2 \times 10^{-2}}\right)=-100\, N / C$
$E_{y}=-\left(\frac{-2}{1 \times 10^{-2}}\right)=200\, N / C$