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
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
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The potential difference between two equidistant points from symmetric charges is zero, so no work is done in moving the charge.
Updated On: Jan 6, 2026
- \( \frac{eqQ}{8\pi \epsilon_0} \)
- \( \frac{qQ}{4\pi \epsilon_0} \)
- Zero
- \( \frac{3qQ}{4\pi \epsilon_0} \)
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The Correct Option is C
Solution and Explanation
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).
Step 2: Conclusion.
The work done in moving the charge \( Q \) is zero, corresponding to option (c).
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