Charged particles of charge 0.001 `mu`C are placed on Y-axis at points (0,1 m) (0,2 m),( 0.3 m) and so on till infinity. Find the net force on charge of 0.1`muC` placed at (0,0).

Explanation

To find the net force on a charge of \(0.1 \, \mu C\) placed at the origin (0,0) due to an infinite number of charges \(0.001 \, \mu C\) placed at points (0,1), (0,2), (0,3), ..., we can follow these steps:

### Step 1: Understand the configuration
We have a charge \(Q = 0.1 \, \mu C = 0.1 \times 10^{-6} \, C\) at the origin (0,0) and an infinite series of charges \(q = 0.001 \, \mu C = 0.001 \times 10^{-6} \, C\) placed at (0,1), (0,2), (0,3), ..., (0,n) along the y-axis.

### Step 2: Calculate the force due to a single charge
According to Coulomb's law, the force \(F\) between two charges is given by:
\[
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