apparatus to generate an electrostatic potential over a flat surface. The surface is a simple 1 m × 1 m square (i.e. 0
apparatus to generate an electrostatic potential over a flat surface. The surface is a simple 1 m × 1 m square (i.e. 0
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Question
You have configured an electronic apparatus to generate an electrostatic potential over a flat
surface. The surface is a simple 1 m × 1 m square (i.e. 0<x<1m, 0<y<1m). The potential (in
volts) has the function
ψ(x , y )=y2(x−1)2
a) What is the electric field corresponding to this potential?
(i.e. what is the electric field vector E=(Ex, Ey) at each position (x, y) in the square?)
b) Draw a diagram of the electric field to illustrate your answer in (a).
c) Explain what this potential does.
i.e. interpret qualitatively what effect it will have on any charge that enters this electric field.
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