In Figure 1, calculate the magnitude of the net Coulomb force on charge Q2 = +4.0 µC due to charges Q1 = -2.0 µC and Q3 = -8.0 µC if p = 0.17 m and s = 0.84 m. Use at least two decimals in your answer.

The figure below shows the electric field lines for two point charges separated by a small distance. (a) What are the signs of q1 and q2? (b) Determine the ratio q1/q2. Express your answer to 3 significant figures.

Three charged marbles are glued to a nonconducting surface and are placed in the diagram as shown. The charges of each marble are q1 = 6.20 µC, q2 = 1.01 µC, and  q3 = −2.14 µC.  Marble q1 is a distance r1 = 3.00 cm to the left of the marble q2, while marble q3 is a distance r3 = 2.00 cm to the right of the marble q2, as shown. Calculate the magnitude of the electric field a distance r' = 1.00 cm to the left of the center marble. What is the electric field due to each individual marble? How do you find the total or "net" electric field when you have several electric fields?  Another marble is placed 1 cm to the left of the middle marble. If this new marble has a charge of −3.62 µC, calculate magnitude and direction of the force on it.

The diagram below shows two point charges, A & B. The charge of A is 1.9 nC & the charge of B is -7.1 nC. Determine the magnitude & direction of the net E-field at point P. The distance between A & P is 0.31 m & the distance between B & P is 0.41 m. P WebAssign Plot P ●? 14 cm- Part B: Location of zero E-field Two point charges, A & B (qA = -20 μC & qB = 50 μC), are separated by 14 cm. The electric field at point P (see below) is zero. How far from A is P? A Enet = direction of Enet = B o relative to the HORIZONTAL in quadrant 3

A test charge of +2µC is placed halfway between a charge of +6µC and another of +4μC separated by distance 2d = 11 cm. +4uC 9₁ = +4 μC The free body diagram of q2 from Part 1 should look like this: +2μC F3-2 d N q2 = +2 μC F1-2 F3→2 > F1→2 +6μС The force on q2 due to q₁ is repulsive and acts to the right. The force on q2 due to q3 is repulsive and acts to the left. (b) Calculate the force on the test charge by the +4μC charge. N (c) Calculate the net force on the test charge by both the charges. X 93 = +6 μC because 93 > 91. (a) Calculate the force on the test charge by the +6μC charge. Hint: The force in the positive x-direction is positive and the negative x direction is negative. N

Two charges Q=29µC and Q2=-.56µC are placed on a semi-circle with a radius R=11mm as shown in the figure below. How much work must be done to bring a third charge Q3=6µC from infinity to point P. Express your answer in units of Joules using zero decimal places. Take Coulomb constant as k=9.0x109 N.m2/c2. Please do not forget the minus sign if your answer is negative. Q2 Q1 R P

A 5 g dust particle has a charge of 7 ?C and is suspended between two oppositely charged parallel plates as shown below. The distance between the particle & the edges of the plates is much greater than the distance between the plates. Each plate has the same constant uniform charge density. (note: Top plate is negative and bottom is positive) Find the voltage between the plates. V=

Three charged marbles are glued to a nonconducting surface and are placed in the diagram as shown. The charges of each marble are q₁ = 6.70 µC, 92 = 1.01 µC, and q3 = -2.27 μC. Marble q₁ is a distance r₁ = 3.00 cm to the left of the marble 92, while marble q3 is a distance r3 = 2.00 cm to the right of the marble q2, as shown. Calculate the magnitude of the electric field a distance r' = 1.00 cm to the left of the center marble. N/C y K t * 91 92 observation point ---Select--- V 93 Another marble is placed 1 cm to the left of the middle marble. If this new marble has a charge of -3.71 µC, calculate magnitude and direction of the force on it. magnitude direction N 7₂=0m

Two charges lie in a line along the x axis. Charge 1 is q1 = 1.1 C and charge 2 is q2 = 2.15 C. They are each a distance of d = 0.093 m from the origin. What is the distance on the x-axis from the origin at which the electric field will be zero. Give your answer in meters.

Three charged marbles are glued to a nonconducting surface and are placed in the diagram as shown. The charges of each marble are q1 = 6.20 µC, q2 = 1.43 µC, and q3 = −2.01 µC. Marble q1 is a distance r1 = 3.00 cm to the left of the marble q2, while marble q3 is a distance r3 = 2.00 cm to the right of the marble q2. Calculate the magnitude of the electric field a distance r' = 1.00 cm to the left of the center marble.N/C Another marble is placed 1 cm to the left of the middle marble. If this new marble has a charge of  3.62 µC, calculate the magnitude and direction of the force on it.