Lab 03 Electric Field and Electric Potential Wrap-Up Homework Worksheet Answer the questions on this worksheet. You may work with others but try to answer the questions on your own first. Merely copying the work of others will not improve your understanding of the material for future labs as well as your upcoming lecture exam and final lab course exam. Once the worksheet is complete, take the "quiz" on Canvas to enteryour answers and have them automatically graded. 1. In the figure below, is the electric field stronger at point X or Segmentsoquuipote-ntial Lines Y? Explain. Y Use the diagram at right for Q2-Q4. Segments oquuipotential Lines charge placed at point 2. 2. At which of the points W or Z is the field stronger. Be sure w you know why! I 3. Indicate the direction of the initial movement ofa positive 4v 3v 4. Indicate the direction of the force on an electron placed at 2V point W. '3" W 5. Consider two test charges, q1 and q2, where C|2 has 4 times the quantity of charge as m. What can be said about their relative potential energies if both charges are located the same distance from a single source charge Q? 6. Consider two test charges, q1 and q2, where C|2 has 4 times the quantity of charge as m. What can be said about their relative electric potentials if both charges are located the same distance from a single source charge Q? 7. True or False? A positive test charge is at a high electric potential when located close to a negative source charge and it is at a lower electric potential when located further away. Explain your answer. Fall 2020 University of Cincinnati Lab 03 Homework Page 1 8. Consider the situation below with point P centered between two opposite charges. The electric field lines and equipotential contours are shown on the right. ccccccccc Kg} a . NV Note the vertical line that passes directly through the center line on the right diagram. The electric potential along this line is zero. Two students are discussing whether or not the fact that the electric potential is zero along this center line implies that the electric field must also be zero along this line. Sam: Because the electric potential is zero along the center line, the electric field must also be zero. In order for there to be an electric field, there has to be an electric potential that isn't zero. Alex: Electric field indicates how the potential is changing with position. If you move along the y axis on the center line separating the charges the potential is always zero which indicates that there is no electric field in the y direction at this location. However, if you move alongthe x axis joining the charges you will see that the potential changes. Look at the electric field lines. At the exact midpoint, a tangent line drawn to the curve of the electric field line at this point is in fact only in the x-direction, which makes sense. Who do you agree with, if anyone? Why? 9. Consider the situation above in QB. Which contour line, if any, takes more work to go around? Explain. 10. Consider the situation above in QB. Where is the electric field magnitude the largest? Explain. 11. Using the diagram at right, identify the sign of each ofthe charges A, B, C, and D. 12. Is the electric field stronger at the triangle or the square marker in the diagram at right, if either? Explain. Fall 2020 University of Cincinnati Lab 03 Homework Page 2 Question 5 5 pts Consider two test charges, q1 and q2, where qg has 4 times the quantity of charge as q1. Which statement below is correct if both charges are located the same distance from a single source charge Q? 0 None of these can be determined as more information is needed. 0 ql has the same potential energy as q2 O ql has four times the potential energy of q2 q2 has four times the potential energy of q1 Question 6 5 pts Consider two test charges, (41 and q2, where qg has 4 times the quantity of charge as q1. Which statement below is correct if both charges are located the same distance from a single source charge Q? Q the electric potential at q1 is the same electric potential at C12 0 None of the above can be determined as more information is needed. me the electric potential at q2 is four times that at q1 Q the electric potential at q1 is four times that at q2 D Question 9 5 pts Consider the situation below with point P centered between two opposite charges. The electric field lines and equipotential contours are shown on the right. +q Does it take more work to go around an inner contour line as shown in the right above, or an outer contour line? O It takes the same amount of work to go around any of the contour lines shown on the figure. O It takes more work to go around an outer contour line further from a given charge. More information is needed. O It takes more work to go around an inner contour line closer to a given charge. D Question 10 5 pts Consider the situation below with point P centered between two opposite charges. The electric field lines and equipotential contours are shown on the right. P -q + q Is the electric field magnitude larger at point A or point B? O More information is needed. O Point B O Point A O It is the same at both points.D Question 3 Indicate the direction ofthe initial movement of a positive charge placed at point Z. Segments of Equipotentia! Lines 21! T l \\ 0/ / O O D Question 4 What is the direction of force of an electron placed at point W? Segments of Equipatentia! lines w I W 31! 2V 5 SoIn! V1 = kq 1Q Q U2 = K ( 49 , ) 9 8 Y 27 = 49 1 U2 = 401 d 22 has four time botential energy of 92. 6 Soin ! V 2 9 ) ( y) The electric botential at 91 18 sqme of 92 9 Solni- I Am 10 EA = EB ( symmetric. d) It is same at both point . W QZ C ) 4 W