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

`F=F_1+F_2+F_3+……..+F_10=9xx10^9xx[1.0/(0.10)^2+(8)/(.20)^2+(27)/(.30)^2+………(1000)/(1.0)^2]10^-8 `
`= (9xx10^9xx10^-8)/(10^-2)[1+2+3+……10] `
` 9xx10^3xx55=4.95xx10^5N`