Three charged objects are located t the vertices of a right triangle. Charge A (5*10^-6) has Cartesian coordinates (0,4; Charge B (-5.0*10^-6) is at the origin; charge c (+4.0*10^-6) has coordinates (5,0), where the coordinates are in meters. What is the net force on each charge.
Ans: I found the charge on B by finding the force F(a to b) and similarly the hypotenuse force and using the cosine rule and sine rule i found the direction and the net charge but when i try the same on point charges A and C i do not get the answer. Where am i going wrong?
To determine the net force on each charge, you need to consider the forces exerted on them by the other charges. The net force on each charge can be found by calculating the vector sum of the individual forces.
Let's start by calculating the force on charge B. Since charge A and charge C are equidistant from B and located at right angles to each other, we can calculate the magnitude of the forces using Coulomb's law:
F(a to b) = k * (q_a * q_b) / r^2
F(c to b) = k * (q_c * q_b) / r^2
where k is the electrostatic constant (9.0 * 10^9 Nm^2/C^2), q_a, q_b, and q_c are the magnitudes of charges A, B, and C respectively, and r is the distance between the charges.
For the force between charges A and B:
q_a = 5.0 * 10^-6 C (given)
q_b = -5.0 * 10^-6 C (given)
r = distance between A and B
Similarly, for the force between charges C and B:
q_c = 4.0 * 10^-6 C (given)
q_b = -5.0 * 10^-6 C (given)
r = distance between C and B
Once you calculate the magnitudes of these forces, you can find their respective directions using vectors. The net force on charge B will be the vector sum of F(a to b) and F(c to b). You can calculate the net force by adding the x-components and y-components of the individual forces.
Now, for the net force on charges A and C, you need to consider the force acting between them and the components of the forces. The net force on each charge will be the vector sum of the forces acting on them.
To calculate the net force on charge A, add the x-components and y-components of the forces F(a to b) and F(a to c).
To calculate the net force on charge C, add the x-components and y-components of the forces F(c to b) and F(c to a).
Remember that force is a vector quantity, so you need to consider both the magnitude and direction of the forces.