# Chapter 20 - Chapter 20 2 Picture the Problem A uniform...

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Chapter 20 2. Picture the Problem : A uniform electric field creates a change in the electric potential along the direction. Strategy: The change in electric potential is given by equation 20-4, , where is equal to because the field points in the direction. . There is no change in the electric potential along the directions. The change in electric potential from point A to point B is independent of the path taken between those two points. Solution: 1. (a) Here because the path is in the direction: 2. (b) Solve equation 20-4 for : 3. (c) The potential changes by an amount equal to the sum of paths 1 and 2 above: Insight: Note that the potential changes only along the direction parallel to the field. This is consistent with statement, “The electric field points downhill on the potential surface,” as described by figure 20- 3 and the accompanying text. 11. Picture the Problem : A uniform electric field creates a change in the electric potential along the direction. Strategy: The change in electric potential is given by equation 20-4, , where is equal to because the field points in the direction. There is no change in the electric potential along the directions. The change in electric potential between any two points is independent of the path taken between those two points. Solution: 1. (a) between points A and B: 2. (b) Solve equation 20-4 for between points B and C: 3. (c) Repeat for points C and A: 4. (d) No, we cannot determine the value of the electric potential at point A because the location of zero potential has not been established. We could always choose if we wish! Insight: Note that the potential changes only along the direction parallel to the field and is higher at point C than at either point A or point B. This is consistent with statement, “The electric field points downhill on the potential surface,” as described by figure 20-3 and the accompanying text. 17.

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Chapter 20 - Chapter 20 2 Picture the Problem A uniform...

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