The figure pictures shows a non-uniform electric field through a region of space

Question

The figure pictures shows a non-uniform electric field through a region of space with 4 positions marked. Consider the electric potential difference between any two points, for each question below, give a brief justification for your answer.
A. If we go from point A to point B, will the electric potential increase or decrease? Explain how you determined this. B. If we go from point A to point C will the electric potential increase or decrease? Explain how you determined this. C. If we go from point B to point D, will the electric potential increase or decrease? Explain how you determined this. D. If we go from point C to point D, will the electric potential increase or decrease? Explain how you determined this. E. If an electron is moved from point B to point C, will its potential energy increase or decrease? Explain how you determined this.

Explanation / Answer

In moving the charge against the electric field from location A to location B, work will have to be done on the charge by an external force.

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