Question

Three charges, each \( +q \), are placed at the corners of an isosceles triangle ABC of sides BC and AC, 2a. D and E are the mid-points of BC and CA. The work done in taking a charge \( Q \) from D to E is

• A. \( \frac{eqQ}{8\pi \epsilon_0} \)
• B. \( \frac{qQ}{4\pi \epsilon_0} \)
• C. Zero
• D. \( \frac{3qQ}{4\pi \epsilon_0} \)

Hint:

The potential difference between two equidistant points from symmetric charges is zero, so no work is done in moving the charge.

Answer 1

The Correct Option is C

Since the charge \( Q \) is being moved between two points equidistant from the three charges, the work done in moving it is zero because the potential at points D and E is the same due to symmetry.

Step 2: Conclusion.
The work done in moving the charge \( Q \) is zero, corresponding to option (c).