Find the potential of an electrostatic field

PHYSICS · Subjective · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

Find the potential

\phi(x, y)

of an electrostatic field

\vec{E} = 2axy\vec{i} + a(x^2 - y^2)\vec{j}

, where

a

is a constant,

\vec{i}

and

\vec{j}

are the unit vectors of the

x

and

y

axes.