Question

Problem 17: Four charges of equal magnitude Q = 65 nC are placed on the comers of a rectangle of sides D1 = 15 cm and D2 = 5 cm as shown in the figure. The charges on the left side of the rectangle are positive while the charges on the right side of the rectangle are negative. For this problem, use the coordinate system and angle e indicated in the figure.

 Part (a) Which choice best represents a free-body diagram for the charge at the lower left comer of the rectangle?

Part (b) Enter an equation for the net horizontal force acting on the charge located at the lower left comer of the rectangle in terms of the magnitude of the forces from the three other charges, F1, F2, F3, and the angle θ.

Part (c) Calculate the net horizontal force acting on the charge at the lower left cormer of the rectangle, in newtons.

Part (d) Enter an equation for the net vertical force acting on the charge located at the lower left comer of the rectangle in terms of the magnitude of the forces from the three other charges, F1, F2, F3, and the angle θ.

Part (e) Calculate the net vertical force acting on the charge at the lower left corner of the rectangle, in newtons.

Part (f) Calculate the magnitude of the net force on the charge located at the lower left cormer of the rectangle, in newtons.

Part (g) Calculate the angle, in degrees counterclockwise with respect to the positive x-axis, of the net force acting on the charge at the lower left comer of the rectanale

Answer 1

Approach used:- We use the Coulomb's law of force between two charges and add the forces using vector component method in rectangular coordinate axes,