What have you tried?
A quick search of force between two charges gives you Coulomb's Law:
F=(k*Q1*Q2)/d^2
Make sure your charges are in Coulombs and d is in metres.
A quick search of force between two charges gives you Coulomb's Law:
F=(k*Q1*Q2)/d^2
Make sure your charges are in Coulombs and d is in metres.
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 = 8.99 * 10^9 N m^2/C^2)
Q1 and Q2 are the magnitudes of the charges
r is the distance between the charges
Given:
Q1 = 3µC = 3 * 10^-6 C
Q2 = 2.5µC = 2.5 * 10^-6 C
r = 50mm = 50 * 10^-3 m
Substituting the values into the formula, we get:
F = (8.99 * 10^9 N m^2/C^2 * (3 * 10^-6 C) * (2.5 * 10^-6 C)) / (50 * 10^-3 m)^2
Simplifying the expression, we have:
F = (8.99 * 10^9 N m^2/C^2 * 7.5 * 10^-12 C^2) / (2.5 * 10^-2 m)^2
F = (8.99 * 7.5 * 10^-3) / (2.5 * 10^-2)^2
F = 6.7425 * 10^-3 / 6.25 * 10^-4
F = 10.788 N
Therefore, the magnitude of the force between the two charges, Q1 = 3µC and Q2 = 2.5µC, that are 50mm apart is 10.788 N.
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 = 8.99 x 10^9 N·m^2/C^2),
- Q1 and Q2 are the charges of the two particles, and
- r is the distance between the charges.
In this case, we have Q1 = 3µC, Q2 = 2.5µC, and r = 50mm.
However, Coulomb's law requires the charges to be in SI units (Coulombs). Therefore, we need to convert the charges from microcoulombs (µC) to coulombs (C).
1 µC = 1 x 10^-6 C
So, Q1 = 3µC = 3 x 10^-6 C
And, Q2 = 2.5µC = 2.5 x 10^-6 C
Now, we can substitute these values into Coulomb's law:
F = (8.99 x 10^9 N·m^2/C^2) * |(3 x 10^-6 C) * (2.5 x 10^-6 C)| / (0.05 m)^2
F = (8.99 x 10^9 N·m^2/C^2) * (7.5 x 10^-12 C^2) / (0.05 m)^2
F = (8.99 x 10^9 N·m^2/C^2) * (7.5 x 10^-12 C^2) / (0.05^2 m^2)
F = (8.99 x 10^9 N·m^2/C^2) * (7.5 x 10^-12 C^2) / 0.0025 m^2
F = (8.99 x 10^9 N·m^2/(C^2 · m^2)) * (7.5 x 10^-12 C^2)
Calculating this expression, we can find the magnitude of the force between the two charges.