3. Hidden charge:s Below are two filled contour plots of electric potentials in

Question

3. Hidden charge:s Below are two filled contour plots of electric potentials in a two-dimensional space.In each of them, the scale of the potential (in volts) is shown in the color bar on the right. In the plot on the right, the vertical (color) scale has been truncated to white for very large and very small potentials 1.2 6.11 0.0 1.2 2.4 3.6 4.8 1.95 3.96 -5.97 7.99 10.00 10 x [mm) x [mm] For each of these plots, answer the following questions (a) How many charges are evident on each plot? Please explain your reasoning (b) What are the approximate positions and relative charge values that are causing the displayed electric potential? Give a reason for your answer

Explanation / Answer

(a) In the first plot, there are two charges. In the second plot, there are three charges.

The charge locations are the positions where maximum and minimum potentials occur.

(b) In the first plot, the two charges located at (-10,0) and (10,0). The charge located at (10,0) is positive charge and the charge at (-10,0) is a negative charge.

In the second plot, the three charges located at (-2.5,-4), (-2.5, 4) and (5,0). The charge located at (-2.5,-4), (-2.5, 4) are equal and negatively charged and the charge at (5,0) is a positive charge.

Maximum potentials occur at positive charges and minimum potential occur at negative charges.

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