Equation for electric potential energy


Assignment:

Question 1. Is the electric field (E = -delta V / delta s) always a positive number (or zero)? That is, is it always the absolute value of the magnitude of the electric field? Or can it have a negative value?

Question 2. Is electric potential (delta V) always negative? The answer to one of the questions in my book says: 'the negative value of delta V in this question simply indicates that the electric potential of the negative plate is less than that of the positive plate.' This seems to imply that electric potential is always negative.

Question 3. My book gives this equation for electric potential energy:
delta U =(q)(delta V)=(q)(E)(d)
but if delta V = (-E)(delta s),
shouldn't delta U = (q)(-E)(d)?

Question 4. Give a quick explanation of what exactly electric potential is, and how it relates to electric potential energy?

Provide complete and step by step solution for the question, use formulas.

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Physics: Equation for electric potential energy
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