An infinite number of charges each equal to `4 muC` are placed along X-axis at `x = 1 m, x = 2 m, x = 4 m, x = 8 m` and so on. Find the total force on a charge of 1C plaaced at the origin.

Explanation

To find the total force on a charge of 1 C placed at the origin due to an infinite number of charges of 4 µC located at positions \( x = 1 \, m, 2 \, m, 4 \, m, 8 \, m, \ldots \), we can follow these steps:

### Step 1: Identify the Forces from Each Charge
The force \( F \) on the charge at the origin due to a point charge \( q \) at a distance \( r \) is given by Coulomb's Law:
\[ F = \frac{k \cdot |q_1 \cdot q_2|}{r^2} \]
where \( k = \frac{1}{4 \pi \epsilon_0} \).
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