Three point charges in vacuum are place on the x-axis. Find the magnitude of force on charge 3micro C Charge.

Q1 at X1

Q2 at X2
Q3 at X3

k is about 9*10^9 Newton meter^2 / coulomb^2
micro Coulomb = 10^-6 Coulomb
You want the force on Q3 ?
F on 3 = + or - k Q1Q3 /(X3-X1)^2 + or - k Q2Q3 / (X3-X2)^2
pick each + or - depending on if the charges are the same sign (repels) or opposite sign (attracts)

To find the magnitude of force on charge \(Q\), we can use Coulomb's law, which states that the magnitude of the electric force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

The formula for Coulomb's law is:

\[F = \frac{{k \cdot |Q_1 \cdot Q_2|}}{{r^2}}\]

where \(F\) is the force exerted between the two charges, \(Q_1\) and \(Q_2\) are the magnitudes of the charges, \(r\) is the distance between the charges, and \(k\) is the electrostatic constant (\(k = 9 \times 10^9 \, \text{N} \cdot \text{m}^2/\text{C}^2\)).

In this case, we have three charges placed on the x-axis. Let's assume that charge \(Q_1\) is at the origin, charge \(Q_2\) is at a distance \(r_2\) from \(Q_1\), and charge \(Q_3\) is at a distance \(r_3\) from \(Q_1\).

To calculate the force exerted on charge 3 \(\mu \text{C}\) by the other charges, we need to determine the magnitudes and distances of those other charges.

Once we have all the necessary information, we can plug it into Coulomb's law to find the desired force.