Particle A of charge 3.00 x 10-4 C is at the origin, particle B of charge -6.00 x 10-4 C is at (4.00 m, 0), and particle C of charge 1.00 x 10-4 C is at (0, 3.00 m). (a) What is the x-component of the electric force exerted by A on C ? (b) What is the y-component of the force exerted by A on C ? (c) Find the magnitude of the force exerted by B on C. (d) Calculate the x-component of the force exerted by B on C. (e) Calculate the y-component of the force exerted by B on C. (f) Sum the two x-components to obtain the resultant x-component of the electric force acting on C. (g) Repeat part (f) for the y-component. (h) Find the magnitude and direction of the resultant electric force acting on C.

Three point charges are placed on the x-y plane: a +25.0 nC charge at the origin, a -25.0 nC charge on the x axis at 10.0 cm, and a +110 nC charge at the point (10.0 cm, 8.00 cm). Find the x component of the total electric force on the +110 nC charge due to the other two. (Express your answer to two significant figures.) Find the y component of the total electric force on the +110 nC charge due to the other two. (Express your answer to two significant figures.) Find the x component of the electric field at the location of the +110 nC charge due to the presence of the other two charges? (Express your answer to two significant figures.) Find the y component of the electric field at the location of the +110 nC charge due to the presence of the other two charges? (Express your answer to two significant figures.)

The figure below shows three charged particles at the corners of an equilateral triangle. Particle A has a charge of 1.85 µC; B has a charge of 5.40 µC; and C has a charge of -5.00 µC. Each side of the triangle is 0.500 m long. What are the magnitude and direction of the net electric force on A? (Enter the magnitude in N and the direction in degrees below the +x-axis.) B 0.500 m 60.0° A magnitude N direction • below the +x-axis

Three-point charges lie along the x-axis. The positive charge q1 = 13 mC is at x = 2.00 m, the positive charge q2 9 mC is at the origin, and the net force acting on q3 is zero. What is the x coordinate of q3? 2.00 m - X- 2.00 – x-→ 92 23 93 F13 91 Answer:

a) A charge 4Q is located at x = −2l on the x-axis, and a charge Q is located at x = l on the x-axis. Q > 0. Near the origin, a positive test charge q with mass m undergoes small oscillations along the x-axis. What is the frequency ω of these oscillations? (Remember that if F = ma = −kx, then ω2 = k/m).

(a) Two charged particles exert an electric force of 11 N on each other. What will the magnitude of the force be if the distance between the particles is reduced to one-third of the original separation? (b) If the original distance between the particles is now restored, how much larger would the charge on either one of the particles have to become to yield the same force that was present when the particle separation was only one-third its original value? times