Consider an x-y plane and mark the locations A, B and C whose coordinates are given to be (5, 2), (5, 8) and (-5, 8) respectively. A uniform electric field of 200 N/C exists in space directed along the negative x-direction. Calculate `(i) V_(B)-V_(A) (ii) V_(C )-V_(A) (iii) V_(B)-V_(C )`.

Explanation

To solve the problem, we need to calculate the potential differences between the points A, B, and C in the presence of a uniform electric field. The electric field is given as \( E = 200 \, \text{N/C} \) directed along the negative x-direction.

### Step 1: Identify the coordinates of points A, B, and C
- Point A: \( (5, 2) \)
- Point B: \( (5, 8) \)
- Point C: \( (-5, 8) \)

### Step 2: Calculate \( V_B - V_A \)
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