Two point charges `q_(1)=2xx10^(-3) C` and `q_(2)=-3xx10^(-6) C` are separated by a distance `x = 10` cm. Find the magnitude and nature of the force between the two charges.

Options

A. x = 0.775m
B. x = 1.2m
C. x = 0.5m
D. Position depends on the amount of charge

Answer

A

Explanation

`F_1 = F_2`
`implies (K xx6 xxqxx10^(-6))/x^2 = (Kxx15 xx10^(-6)xxq)/((2-x)^2)`
`implies (2-x)/x=sqrt(15/6)=1.58 implies 2 - x = 1.58x`
`implies x =2/(2.58) = 0.775m`