A +5.0 uC charge experiences a 0.44 N force in the positive y direction. If this charge is replaced with a -2.7 uC charge, what force will it experience?
To determine the force experienced by a -2.7 uC charge, we can use Coulomb's Law, which 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.
Coulomb's Law formula: F = k * (|q1| * |q2|) / r^2
Where:
- F is 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 magnitudes of the charges
- r is the distance between the charges
In this case, the initial charge is +5.0 uC (micro-coulombs), and the force experienced is 0.44 N. We can set up the equation as follows:
0.44 N = k * (5.0 x 10^-6 C) * |q2| / r^2
We need to solve for |q2|, the magnitude of the new charge.
Rearranging the equation: |q2| = (0.44 N * r^2) / (k * 5.0 x 10^-6 C)
Now, we need to substitute the values into the equation to find the new force experienced by the -2.7 uC charge. However, we don't have the distance, r, between the charges. Without that information, we cannot calculate the exact force.
To find the exact force, you will need to know the distance between the charges. Once you have that information, you can substitute it into the equation above, along with the other given values, to find the new force.