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  4. The electric field intensity at all points in space is given by vecE=√3 hati- hatj volts/metre. The nature of equipotential lines in x-y plane is given by

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Q. The electric field intensity at all points in space is given by $\vec{E}=\sqrt{3} \hat{i}-\hat{j}$ volts/metre. The nature of equipotential lines in $x$-y plane is given by

Electrostatic Potential and Capacitance

Solution:

The direction of uniform electric field $E$ in $x y$-plane is as shown in Figure $1 .$
image
The equipotential lines will be perpendicular to electric field. Also electric field points from high potential region towards low potential region. Therefore nature of equipotential lines in $x-y$ plane is given by Figure $2 .$