A point charge q = -3 1 mu C is located at the origin of a co-ordinate system. A

Question

A point charge q = -3 1 mu C is located at the origin of a co-ordinate system. Another point charge q_2 = 5.9 mu C is located along the x-axis at a distance x_2 = 6.7 cm from q_1 What is F_12, x, the value of the x-component of the force that q_1 exerts on q_2? Charge q_2 is now displaced a distance y_2 = 3.8 cm in the positive y-direction. What is the new value for the x-component of the force that q_1 exerts on q_2? A third point charge q_3 is now positioned halfway between q_1 and q_2. The net force on q_2 now has a magnitude of F_2, net = 9.2 N and points away from q_1 and q_3. What is the value (sign and magnitude) of the charge q_3?

Explanation / Answer

electric force between two charges = k * q1 * q2 / distance^2

electric force between q2 and q3 = 9 * 10^9 * 5.9 * 10^-6 * q3 / (sqrt(0.067^2 + 0.038^2)/2)^2

net electric force on q2 = 9.2 N

net electric force on q2 = force due to q1 + force due to q3

9.2 = -24.14 + 9 * 10^9 * 5.9 * 10^-6 * q3 / (sqrt(0.067^2 + 0.038^2)/2)^2

q3 = 9.313 * 10^-7 C

value of charge q3 = 9.313 * 10^-7 C

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