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Learning Introductory Physics with Activities

Section 25.5 Applications of Electric Potential

Subsubsection Activities

Activity 25.5.1. Equipotential Surfaces.

This activity uses a plastic surface, like the one in the figure, to represent the electric potential between two charged plates, one positive and one negative. A \(1 \mathrm{~cm}\) height difference corresponds to an electric potential difference of \(1 \mathrm{~V}\text{.}\)
  1. Rank the three marked points by the value of the electric potential from greatest to least. Explain your reasoning.
  2. Find three different points on the surface that are separated by equal (non-zero!) changes in potential.
    1. Identify (and mark) all the points with the same value of potential as your three points.
    2. What patterns do you notice?
  3. Align your surface with a contour map. How are you making this alignment? Where is the surface a good approximation of the potential? Where is the approximation less good?
  4. Sketch a graph of the potential \(V\) vs. distance from the negative plate \(x\text{.}\)
    1. Describe the relationship between potential and distance from the negative plate.
    2. Propose an equation to describe the electric potential as a function of the distance, \(x\text{,}\) from the negative plate. Where did choose for the location of \(V = 0\text{?}\)
    3. What do you think the slope of your graph of \(V\) vs. \(x\) represents?