An electric field E=Axi^ exists in the space where A=10V/m^{2​ .}.​Take the potential at (10m,20m) to be zero. Find the potential at the origin.​

E = -dV/dx and. E = Ax î

Dear Student,
Please find below the solution to your problem.

E = -dV/dx
dV = – Axdx
Integerating both sides,
V = -Ax^2/2 + c
at (10,20)
V = 0 => 150A = C
C = 1500
V at origin,
V = 1500 V/m^2

Thanks and Regards