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 the 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:
- \(x_1 = 10 \, \text{cm} = 0.1 \, \text{m}\) with \(Q_1 = 1.0 \times 10^{-8} \, \text{C}\)
- \(x_2 = 20 \, \text{cm} = 0.2 \, \text{m}\) with \(Q_2 = 8.0 \times 10^{-8} \, \text{C}\)
- \(x_3 = 30 \, \text{cm} = 0.3 \, \text{m}\) with \(Q_3 = 27.0 \times 10^{-8} \, \text{C}\)
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