In a certain region of space, the electric field is zero.

Chapter 25, Problem 1

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QUESTION:

In a certain region of space, the electric field is zero. From this fact, what can you conclude about the electric potential in this region? (a) It is zero. (b) It does not vary with position. (c) It is positive. (d) It is negative. (e) None of those answers is necessarily true.

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QUESTION:

In a certain region of space, the electric field is zero. From this fact, what can you conclude about the electric potential in this region? (a) It is zero. (b) It does not vary with position. (c) It is positive. (d) It is negative. (e) None of those answers is necessarily true.

ANSWER:

Step 1 of 2

The electric field as function of position in terms of potential difference is;

                                                 

Here,  is the potential difference and  is the distance from the field point to the charge.

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