AP EAMCET · PHYSICS · Electrostatics
A charge \(Q\) is divided into two charges \(q\) and \(Q-q\). The value of \(q\) such that the force between them is maximum, is
- A \(Q\)
- B \(\frac{3 Q}{4}\)
- C \(\frac{Q}{2}\)
- D \(\frac{Q}{3}\)
Answer & Solution
Correct Answer
(C) \(\frac{Q}{2}\)
Step-by-step Solution
Detailed explanation
By Coulomb's law, When charge \(Q\) is divided into two charges \(q\) and \(Q-q\) \[ F=\frac{1}{4 \pi \varepsilon_0} \cdot \frac{q \cdot(Q-q)}{r^2} \] The value of \(q\) \[ F_{\max }=\frac{1}{4 \pi \varepsilon_0} \cdot \frac{\frac{Q}{2}\left(Q-\frac{Q}{2}\right)}{r^2} \]…
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