Magnitude of Force between Two Charges

What is the magnitude of the force between two charges?

Given a charge of −0.0004 C at a distance of 3 meters from a charge of 0.0003 C.

Magnitude of the Force:

The magnitude of the force is 3.6 x 10^-6 N, rounded to two significant figures.

The magnitude of the force between two point charges can be calculated using Coulomb's law:

F = k * (q1 * q2) / r^2

Where:

F = Magnitude of the force in Newtons (N)

k = Coulomb's constant (9 x 10^9 N*m^2/C^2)

q1 and q2 = Magnitudes of the charges in Coulombs (C)

r = Distance between the charges in meters (m)

Plugging in the given values, we get:

F = (9 x 10^9 N*m^2/C^2) * (-0.0004 C) * (0.0003 C) / (3 m)^2

Simplifying the expression, we get:

F = -3.6 x 10^-6 N

Note that the negative sign in the result indicates that the force is attractive. The magnitude of the force is 3.6 x 10^-6 N, rounded to two significant figures.