An ionfinite number of charges each q are placed in the x-axis at distances of 1,2,4,8 meter from the origin. If the charges are alternately positive and negative find the intensity of electric field at origin.

Explanation

To find the intensity of the electric field at the origin due to an infinite number of charges placed alternately on the x-axis at distances of 1, 2, 4, 8 meters, we can follow these steps:

### Step 1: Understand the Configuration
We have an infinite series of charges, each of magnitude \( q \), placed at distances \( 1, 2, 4, 8, \ldots \) meters from the origin. The charges are alternately positive and negative.

### Step 2: Electric Field Due to a Point Charge
The electric field \( E \) due to a point charge \( q \) at a distance \( r \) is given by:
\[
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