Question

. If VA and VB are the potentials of the two points A and B, what will be the correct relation between the electric field and the potential difference between the points? The distance between the points is d. (a) VA - VB = Ed (b) VB - VA = Ed (c) VA - VB = Ed (d) VA - VB = dE​

Answer 1

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Answer 2

If VA and VB are the potentials of the two points A and B, then the correct relation between the electric field and the potential difference between the points is (b) VB - VA = Ed.

• The potential difference between any two points is always taken as a difference between the final point, here B and the starting point of the potential, here A.
• These final points and initial points are denoted as VB and VA respectively. Hence, the potential difference (V) is denoted as V = VB - VA.
• Since the potential is also known as the product of the Electric field and the distance acquired by it so, it can be denoted as V = Ed.
• Therefore, (b) VB - VA = Ed is the correct answer.