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MHT CET · Physics · Electrostatics

Three charges Q, (-2q) and (-2q) are placed at the vertices of an isosceles right angled triangle as shown in figure. The net electrostatic potential energy is zero if Q is equal to
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  1. A \(\sqrt{2} \mathrm{q}\)
  2. B \(\frac{q}{2}\)
  3. C \(\frac{\mathrm{q}}{\sqrt{2}}\)
  4. D \(\frac{q}{2 \sqrt{2}}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{\mathrm{q}}{\sqrt{2}}\)

Step-by-step Solution

Detailed explanation

\(U_{net} = U_{12} + U_{13} + U_{23}\) \(U_{net} = \frac{kQ(-2q)}{a} + \frac{kQ(-2q)}{a} + \frac{k(-2q)(-2q)}{\sqrt{a^2+a^2}}\)