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CUET · PHYSICS · PYQ PAPER 2025

Eight charges having values as shown in figure are arranged symmetrically on a circle of radius 10 cm in air. The potential at the centre O is
image

  1. A \( 2.43 \times 10^6 \text{ V} \)
  2. B \( 24.3 \times 10^6 \text{ V} \)
  3. C \( 243 \times 10^6 \text{ V} \)
  4. D \( 38.6 \times 10^6 \text{ V} \)
Verified Solution

Answer & Solution

Correct Answer

(A) \( 2.43 \times 10^6 \text{ V} \)

Step-by-step Solution

Detailed explanation

\(V = \frac{kQ}{r}\) \(Q_{\text {total }}=(+5-7-1+3-5+10+15+7) \mu C \) \( Q_{\text {total }}=27 \mu C=27 \times 10^{-6} C\) \(V_O=\frac{9 \times 10^9 \times 27 \times 10^{-6}}{0.1} \) \(V_O=\frac{243 \times 10^3}{10^{-1}} \) \(V_O=243 \times 10^4 V \) \(V_O=2.43 \times 10^6 V\)
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