Physics 2145 Test 1 Preparation homework 1. Three charges are arranged as shown. a) Draw the forces on Q which are exerted by q1 and q2. b) Calculate the magnitudes of the forces that q1 and q2 exerts on Q, respectively. c) Calculate magnitude of the net force, FNET, on Q due to q1 and q2. d) Calculate the angle between FNET and the positive x-axis. q2= -10.0μC q1 = +7.50μC 20cm 22cm 300 Q= +5.55μC 2. Two identical positive charges of magnitude q are located on the y-axis a distance a from the origin. Point B is located on the x-axis, a distance b from the origin. q a) What is the direction of the electric field created by these two charges at the a origin? (indicate in the diagram.) b b) At point B, sketch the electric fields due to each of the charges and the net electric field. c) Calculate the magnitudes of the electric fields at B due to each of the charges. d) Calculate the net electric field at B. e) Calculate the net electric potential at point B. B a q x 3. An electron starts from rest at the negative plate which has a potential Vi = 0. The electron is accelerated towards the positive plate which is at a potential Vf with respect to the upper plate. a) Is Vf < Vi or Vf > Vi ? b) What is the initial potential energy of the electron before it is released? c) What is the final potential energy of the electron as it reached the positive plate (at the tip of the arrowhead in the diagram)? d) In terms of Vf , me and e, what is the final velocity of the electron? -----------------------------Vi=0 V=Vf ++++++++++ +++++++++ 4. In the Physics 26 laboratory, a student makes a plane parallel plate capacitor by taking two pieces of aluminum foil and inserting a sheet of paper in between the two pieces of foil. The two pieces of aluminum foil are 30 cm by 30 cm. and the paper is 0.10 mm thick and has a dielectric constant K = 3.70. a) What is the capacitance of this capacitor? b) When the student connects this capacitor to a power supply and sets the voltage to V = 150 V, how much charge is stored on the capacitor? 5. Find the equivalent capacitance between points a and b. How much charge is stored in the capacitor configuration if a potential difference ΔV=10V is applied between a and b? 8μF a 12μF b 24μF