1. If the electric potential at some point is large, is the electric field at th

Question

1. If the electric potential at some point is large, is the electric field at that point also necessarily large or not? Explain your answer, and provide a counterexample if not.

2. Assume the electric field E in some region is uniform: it is the same at all points (equipotentail). Specifically, E has a magnitude of 5 V/m and points in the +x direction. What can you then say about the behaviour of the electric potential a) inthe x dirction and b) in the y direction. Explain your answers.

Please show work so I can follow along!

Explanation / Answer

formula for electrical potential due to point charge at a point r is

V = kq/r

1)

formula for electric field due to point charge at a point r is

E = kq/ r^2

comparing above two equations , electric field depends on the square of the distance but potential depends on the distance

both are inversily propotional to distance

as E filed has more denominator value E is less than the V

(2)

electric filed or lines of force are perpendicualr to the equipotential surface

E = dV/ dr

E. dr = dV

electric potential is maximum along + x direction

electric potential is zero in the + y direction

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