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EXAMINATION #1 Department of Physics J. B. Bindell, PhD PLACE YOUR ANSWERS TO THE MULTIPLE CHOICE QUESTIONS IN THIS TABLE. Question Multiple Choice 1 2 3 4 5 Problem #2 Problem #3 Problem #4 Student Answer Points Awarded TOTAL NAME ____________________________________ PID _____________________________________ Signature ___________________________________ Name ___________________________________ (print clearly on each page) PHY-2054 College Physics II Dr. Bindell – Section 005 EXAMINATION #1 INSTRUCTIONS: Answer all questions carefully. It is always best to use symbols to solve problems and to then add the numbers. This makes it easier to follow your work and easier for you to check your work if you have time. Read the questions carefully. Draw a diagram wherever possible. Be sure to put your name at the top of each page so that if the pages get separated during the grading process, they can all be identified. Use the back of the page if you need more room. Constants are below. Good luck. k=9.0 x 109 Nm2/C2 e=1.6 x 10-19 C Problem #1 (4 points each = 20 points) 1. Which one of the following statements best explains why tiny bits of paper are attracted to a charged rubber rod? A) Paper is naturally a positive material. B) Paper is naturally a negative material. C) The paper becomes electrically polarized by induction. D) Rubber and paper always attract each other. E) The paper acquires a net positive charge by induction. 2. Two uncharged conducting spheres, A and B, are suspended from insulating threads so that they touch each other. While a negatively charged rod is held near, but not touching sphere A, someone moves ball B away from A. How will the spheres be charged, if at all? Sphere A Sphere B A) 0 + B) – + C) 0 0 D) – 0 E) + – 2|Page Name ___________________________________ (print clearly on each page) 3. Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of –2.0 µC; sphere B carries a charge of –6.0 µC; and sphere C carries a charge of +4.0 µC. Spheres A and B are touched together and then separated. Spheres B and C are then touched and separated. Does sphere C end up with an excess or a deficiency of electrons and how many electrons is it? A) deficiency, 6 × 1013 B) excess, 3 × 1013 C) excess, 2 × 1013 D) deficiency, 3 × 1012 E) There is no excess or deficiency of electrons. 4. Four point charges are held fixed at the corners of a square as shown in the figure. Which of the five arrows shown below most accurately shows the direction of the net force on the charge – Q due to the presence of the three other charges? A) B) C) D) E) a b c d e 5. An electron traveling horizontally enters a region where a uniform electric field is directed upward. What is the direction of the force exerted on the electron once it has entered the field? A) B) C) D) E) 3|Page to the left to the right upward downward out of the page, toward the reader Name ___________________________________ (print clearly on each page) Problem #2 (30 Points) A small spherical insulator of mass 8.00 x 10-2 kg and charge +0.600 C is hung by a thin wire of negligible mass. A charge of -0.900 C is held 0.150 m away from the sphere and directly to the right of it, so the wire makes an angle q with the vertical (see the drawing). Find (a) the angle q and (b) the tension in the wire. It is suggested that you use symbols in your work until the end. Suggested variables are indicated in the figure. l q1 4|Page q2 Name ___________________________________ (print clearly on each page) Problem #3 (30points 10 points for each part) The drawing shows three charges, labeled q1, q2, and q3. A Gaussian surface is drawn around q1 and q2. (a) Which charges determine the net electric flux leaving or entering the Gaussian surface? (Explain) 1 (b) Which charges produce the electric field at the point P? (Explain) (c) A point charge q is located at the center of a cube of side a. How much flux leaves the cube through one of its faces? 5|Page Name ___________________________________ (print clearly on each page) Problem #4 (20 points) A small drop of water is suspended motionless in air by a uniform electric field that is directed upward and has a magnitude of 8480 N/C. The mass of the water drop is 3.50 x 10-9 kg. (a) Is the excess charge on the water drop positive or negative? Why? (10) (b) How many excess electrons or protons reside on the drop? (10) 6|Page