a point charge of 3.00*10^-6C is 12.o cm distance from a second charge of -1.50*10^-6 c. Calculate the magnitude of the force on each charge?
To calculate the magnitude of the force on each charge, you can use Coulomb's Law. Coulomb's Law states that the magnitude of the electrostatic force between two point charges is 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 magnitude of the electrostatic force
- k is the electrostatic constant, approximately equal to 8.99 x 10^9 Nm^2/C^2
- q1 and q2 are the magnitudes of the charges
- r is the distance between the charges
Let's calculate the magnitudes of the force on each charge using this formula.
Given:
- q1 = 3.00 x 10^-6 C
- q2 = -1.50 x 10^-6 C
- r = 12.0 cm = 0.12 m
First, let's substitute the values into the formula:
F = (8.99 x 10^9 Nm^2/C^2) * (3.00 x 10^-6 C) * (-1.50 x 10^-6 C) / (0.12 m)^2
Now, we can calculate:
F = (8.99 x 10^9 Nm^2/C^2) * (-4.50 x 10^-12 C^2) / (0.0144 m^2)
F = -4.847 x 10^-3 N
So, the magnitude of the force on each charge is approximately 4.847 x 10^-3 Newtons.