1. A particle with charge q, = +4.5 µC is located at (x=0,y=0). A second particle with charge q2 = -7.7 µC is located at (x=0,y=4.00 cm), and a third charge q3 = +4.4 µC is located at (x=3.00 cm,y=D). (a) In your notebook, draw a diagram of the three-charge system showing the location of the charges. (b) Calculate the potential energy of this three-charge system. PE =

23. Model the dome of a Van de Graaff generator as a uniformly charged spherical shell of radius 0.250 m bearing a charge of +1.50 μC. If an electron undergoes uniform circular motion around the dome and 0.300 m above the surface of the dome, what is the speed of the electron? (A) 4.63×107 m/s (B) 5.11×107 m/s (C) 5.55×107 m/s (D) 6.04×107 m/s (E) 6.56×107 m/s

The drawing shows two situations in which charges are placed on the x and y axes. They are all located at the same distance of 5.40 cm from the origin O. For each of the situations in the drawing, determine the magnitude of the net electric field at the origin.

Two charges are located on the x axis: q₁ = +5.6 μC at x₁ = +4.9 cm, and q2 = +5.6 μC at x2 = -4.9 cm. Two other charges are located on the y axis: q3= +3.8 μC at y3 = +4.7 cm, and 94 = -11 μC at y4=+7.6 cm. Find (a) the magnitude and (b) the direction of the net electric field at the origin. (a) Number i (b) The net electric field points Units 94 92 --+x

= A particle with charge 9₁ = +4.7 μC is located at (x=0,y=0). A second particle with charge 92 is located at (x=0,y=4.00 cm), and a third charge 93 = +5.4 µC is located at (x=3.00 cm,y=0). (a) In your notebook, draw a diagram of the three-charge system showing the location of the charges. (b) Calculate the potential energy of this three-charge system. PE = J -8 μC

The figure below shows two identical small, charged spheres. One of mass 4.3 g is hanging by an insulating thread of length 20.0 cm. The other is held in place and has charge q₁ = -3 -3.1 μC. The thread makes an angle of 18° with the vertical, resulting in the spheres being aligned horizontally, a distance r apart. Determine the charge 92 on the hanging sphere. nC 20.0 cm 18⁰ 91 92 ✈

Two point charges lie along the y-axis. A charge of q1 = -8 µC is at y = 6.0 m, and a charge of q2 = -6 µC is at y = -4.0 m. Locate the point (other than infinity) at which the total electric field is zero. Need Help? Read It

= -8.3 1. A particle with charge 9₁ = +4.1 μC is located at (x=0,y=0). A second particle with charge 92 μC is located at (x=0,y=4.00 cm), and a third charge 93 = +4.8 µC is located at (x=3.00 cm,y=0). (a) In your notebook, draw a diagram of the three-charge system showing the location of the charges. (b) Calculate the potential energy of this three-charge system. -3 -8.91-10-³√ J PE =

You have a summer job in the Exploratorium in San Francisco. Your team has been tasked to make an exhibit where a small charged pith ball is levitated above a large charged plate with a small circular opening in the middle. The pith ball is to be suspended about 5 cm above the center of the circular opening. After sufficient testing, you know that the plate could be roughly uniformly charged with 2.5 µC/m?. You measure 9.6 cm for the diameter of the circular opening and 0.20 grams for the mass of the pith ball. Find what the charge on the pith ball should be.

The drawing shows two situations in which charges are placed on the x and y axes. They are all located at the same distance of 7.10 cm from the origin O. For each of the situations in the drawing, determine the magnitude of the net electric field at the origin. +2.0μC -5.0 μC (a) -3.0 μC +4.0 μC +1.0 μC +6.0 με (b) -1.0 με