The figure below represents a graph of the electric potential in a region of spa

Question

The figure below represents a graph of the electric potential in a region of space versus position x, where the electric field is parallel to the x axis. Each vertical division on the graph is equal to 40 volts.

Now consider the figure to represent the electric field instead of potential, with each vertical division on the graph equal to 30 N/C.

(d) What is the potential difference V2-V3, the difference in potential between x= 2 cm and x = 3 cm?
   

(e) What is the potential difference V4-V1?

Please explain how you do this! Thank you

Explanation / Answer

d)

potential difference = - area under the electric field . distance curve

V2 - V3 = 30 * 0.01

V2 - V3 = 0.30 V

the potential difference V2 - V3 is 0.30 V

e)

NOw ,for the potential difference V4 - V1

potential difference V4 - V1 = - (0.5 * 30 * 0.01 + 0.5 * 30 * 0.01 + 0.02 * 30)

potential difference V4 - V1 = - 0.9 V

the potential difference V4 - V1 is -0.9 V

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