Place three point charges `1muC, 2muC and 8muC` on a 10 cm long line segment such that the potential energy of the system is minimum.

Explanation

To solve the problem of placing three point charges \(1 \mu C\), \(2 \mu C\), and \(8 \mu C\) on a 10 cm long line segment such that the potential energy of the system is minimized, we can follow these steps:

### Step 1: Understanding the Potential Energy Formula
The potential energy \(U\) between two point charges \(q_1\) and \(q_2\) separated by a distance \(r\) is given by:
\[ U = \frac{1}{4 \pi \epsilon_0} \frac{q_1 q_2}{r} \]
For three charges, the total potential energy \(U\) of the system is the sum of the potential energies of all pairs of charges.
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