particles of charge 65*10^-6c, 3810^-6c and -8510^-6c are placed in a line. the center one is 0.35m from each of the others. calculate the net force on each charge due to the other two
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To calculate the net force on each charge due to the other two charges, 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.
Let's start by calculating the force on the center charge due to the other two charges. The magnitude of the force can be found using the formula:
F = k * |q1 * q2| / r^2
where F is the force, k is the electrostatic constant (9 * 10^9 N·m^2/C^2), q1 and q2 are the magnitudes of the charges, and r is the distance between them.
For the center charge (q1), it is attracted to the charge on the left (q2) and repelled by the charge on the right (q3). Therefore, the net force on the center charge will be the algebraic sum of the forces.
Let's calculate the force on the center charge due to the charge on the left:
q1 = 65 * 10^(-6) C
q2 = 381 * 10^(-6) C
r = 0.35 m
F_left = k * |q1 * q2| / r^2
Now, let's calculate the force on the center charge due to the charge on the right:
q1 = 65 * 10^(-6) C
q3 = -851 * 10^(-6) C
r = 0.35 m
F_right = k * |q1 * q3| / r^2
Finally, to find the net force on the center charge, we just need to sum the forces:
Net Force = F_left + F_right
After calculating the net force on the center charge, we can repeat the same process to calculate the net force on the other two charges due to the remaining charge(s). Since the distances and charges involved are the same, the process will be similar.
By following these steps, you can calculate the net force on each charge due to the other two charges.