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COMEDK · Physics · 17. Electrostatics

Three charges \(-q,+Q\) and \(-q\) are placed at equal distances along a straight line. If the total \(P E\) of the system is zero, then the ratio \(Q / q\) becomes

  1. A \(\frac{1}{8}\)
  2. B \(\frac{1}{6}\)
  3. C \(\frac{1}{4}\)
  4. D \(\frac{1}{2}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{1}{4}\)

Step-by-step Solution

Detailed explanation

The given situation is shown below Total potential energy of the system \(=0\) \[ \Rightarrow \frac{1}{4 \pi \varepsilon_{0}}\left[\frac{(-q) Q}{a}+\frac{(+Q)(-q)}{a}+\frac{(-q)(-q)}{2 a}\right]=0 \]…