A positive and a negative charge, each of magnitude 1.0 10-5 C, are separated by a distance of 12 cm. Find the force on each of the particles
To find the force on each of the particles, we can use Coulomb's law. Coulomb's law states that the force between two charges is directly proportional to the product of their magnitudes and inversely proportional to the square of the distance between them.
The formula for Coulomb's law is:
F = k * (|q1| * |q2|) / r^2
Where:
F is the force between the charges,
k is the electrostatic constant (k = 9 x 10^9 N m^2/C^2),
|q1| and |q2| are the magnitudes of the charges,
and r is the distance between the charges.
Let's calculate the force on each of the particles using these values.
Given:
Magnitude of each charge (|q1| and |q2|) = 1.0 * 10^-5 C
Distance between the charges (r) = 12 cm = 0.12 m
Electrostatic constant (k) = 9 * 10^9 N m^2/C^2
Plugging these values into the formula:
F = (9 * 10^9 N m^2/C^2) * (1.0 * 10^-5 C * 1.0 * 10^-5 C) / (0.12 m)^2
Calculating this expression will give us the force on each of the particles.