Ten positively charged particles are kept fixed on the x-axis at points x=10cm, 20cm, 30cm, …, 100cm. The first particle has a charge `1.0xx 10^(-8)C`, the second `8xx10^(-8)` C, the third `27xx10(-8)`C and so on. The tenth particle has a charge `1000xx10^(-8)C.` find the magnitude of the electric force acting on a 1 C charge placed at the origin.

Explanation

To find the magnitude of the electric force acting on a 1 C charge placed at the origin due to ten positively charged particles located on the x-axis, we can follow these steps:

### Step 1: Identify the Charges and Their Positions
The charges are located at:
- \( q_1 = 1.0 \times 10^{-8} \, C \) at \( x = 10 \, cm \) (0.1 m)
- \( q_2 = 8.0 \times 10^{-8} \, C \) at \( x = 20 \, cm \) (0.2 m)
- \( q_3 = 27.0 \times 10^{-8} \, C \) at \( x = 30 \, cm \) (0.3 m)
- \( q_4 = 64.0 \times 10^{-8} \, C \) at \( x = 40 \, cm \) (0.4 m)
...