What is the magnitude of the force a +29 \mu C charge exerts on a +3.5 mC charge 35 cm away?
What is Coulombs law?
I will be happy to critique your thinking.
To find the magnitude of the force between two charges, you can use Coulomb's Law. Coulomb's Law states that the magnitude of the force between two charges is directly proportional to the product of the charges 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 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,
r is the distance between the charges.
In this case, we have a charge of +29 μC (microcoulombs) and a charge of +3.5 mC (millicrocoulombs), separated by a distance of 35 cm.
First, let's convert the charges to their base SI unit (coulombs):
+29 μC = 29 x 10^-6 C
+3.5 mC = 3.5 x 10^-3 C
Next, let's convert the distance to meters:
35 cm = 35 x 10^-2 m
Now, we can substitute the values into the formula:
F = (9 x 10^9 N * m^2 / C^2) * ((29 x 10^-6 C) * (3.5 x 10^-3 C)) / (35 x 10^-2 m)^2
Simplifying the equation, we can calculate the magnitude of the force:
F = (9 x 10^9 N * m^2 / C^2) * (1.015 x 10^-8 C^2) / (1.225 x 10^-2 m^2)
F = 9.214 x 10^1 N
Therefore, the magnitude of the force between these two charges is approximately 92.14 N.