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CUET · PHYSICS · PYQ PAPER 2023

Choose the correct statement:
Three charges \( 2q, -q, -q \) are located at the vertices of an equilateral triangle. At the centroid:

  1. A the field is zero but the potential is non-zero
  2. B potential is zero but the field is non-zero
  3. C both field and potential are zero
  4. D both field and potential are non-zero
Verified Solution

Answer & Solution

Correct Answer

(B) potential is zero but the field is non-zero

Step-by-step Solution

Detailed explanation

\( V = \sum \frac{kQ}{r} \) \( V = \frac{k}{r} (2q - q - q) = 0 \) Let \( E_0 = \frac{kq}{r^2} \). Field magnitudes are \( 2E_0 \) (from \( 2q \)), \( E_0 \) (from first \( -q \)), \( E_0 \) (from second \( -q \)). The fields due to the two \( -q \) charges, \( E_{-q,1} \) and…
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