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Textbook Expert
Textbook ExpertVerified Tutor
11 Nov 2021

Given information

If    at a point in space, must .

 If    at some point, must  at that point.

Step-by-step explanation

Step 1.

Electric potential is the potential energy per unit charge at a point in space and electric field is the electric force per unit charge at a point in space. If one of these quantities is zero, the other one is no necessarily zero.

There is no general relationship between the value of V and the value of E . Instead, the magnitude of E is equal to the rate at which V decreases over a short distance.

 

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