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Lecture Quiz Questions With Solutions Two charges, -Q and +2Q are placed a distance R apart. The magnitude and direction of the force F on the -Q charge is shown by the arrow. Which of the following arrows represents the approximate magnitude and direction of the force on the +2Q charge? -Q +2Q None of the above Two charges, -Q and +2Q are initially placed a distance R apart. The magnitude and direction of the force F on the -Q charge is shown by the arrow in the “Before” picture. Next, the –Q charge is changed to +2Q. Which of the following arrows represents the approximate magnitude and direction of the new force on the bottom +2Q charge? +2Q -Q +2Q Before +2Q After Two charges, -Q and +2Q are initially placed a distance R apart. The magnitude and direction of the force F on the -Q charge is shown by the arrow in the “Before” picture. The charges are then moved to a separation distance of R/2. Which arrow’s direction and length represents the new force on the +2Q charge? -Q -Q +2Q Before None of the above +2Q After What is the direction of the electric force on a negative test charge at point 1? 1 1. 2. 3. 4. 5. The net electric force is zero at point 1 At which point, A or B, will the magnitude of the acceleration of a negative test charge be greater if the charge is released from rest, and which way will it go? E Field Lines 1. 2. 3. 4. 5. A and in the direction of the field lines. A and opposite to the field line directions. B and in the direction of the field lines. B and opposite to the field line directions. The accelerations are the same. PRACTICE: Two identical metal balls L and M initially have charge 4 C and 0 C, respectively, as shown below. What is the charge on M after you let L touch M and set them apart? M L +4C 0C +2 C Quiz: (1 pt. participation) Three identical metal balls L, M and N initially have charge 4 C, -2 C and 0 C, respectively, as shown below. What is the charge on N after you let L first touch M, and then remove L and let M touch N? M L +4C 1. 2. 3. 4. 5. 4C 2C 1C 0C None of the above N -2 C 0C QUIZ: (1pt. participation, 1 pt. correct) Three identical metal balls L, M and N initially have charge 4 C, -2 C and 0 C, respectively, as shown below. What is the charge on N after you let L first touch N, and then remove L and let M touch N? M L +4C 1. 2. 3. 4. 5. 4C 2C 1C 0C None of the above N -2 C 0C Example: Equipotential Surfaces C • B• • A • At which position (A, B, or C) does the electric field have the greatest magnitude? A charged, metal object has a cavity inside it into which is placed two charges, one of Q and the other of −3Q. There is a net charge of −Q on the object itself. What is the net charge on the outside surface of the metal object? (a)0 (b)−Q Q (c)−3Q -3Q (d)+3Q -Q A charged, metal object has a cavity inside it into which is placed two charges, one of Q and the other of −2Q. There is a net charge of −Q on the object itself. What is the net charge on the outside surface of the metal object? (a)0 (b)−Q (c)-3Q Q (d)+3Q -2Q 4Q A B C R L R L Three sections of different copper wires are shown. Order them in increasing resistance. 1. A < B < C 2. A = C < B 3. C < A < B 4. C < A = B 5. A = B = C 2R 2L Practice: A B C R L R L Three sections of different copper wires are shown. Order them in increasing resistivity. 1. A > B > C 2. A = C > B 3. C > A > B 4. C > A = B 5. A = B = C 2R Quiz: 2L Practice: Each bulb has a resistance of 10 Ω. What is the equivalent resistance of the circuit? 1. 40 Ω 2. 20 Ω 3. 16 ⅔ Ω 4. 2 ½ Ω V Practice: Each capacitor has a capacitance of 10 F. What is the equivalent capcitance of the circuit? 1. 30 F 2. 20 F 3. 6 ⅔ F 4. 3 ⅓ F V Quiz: R ε A R B ε R Order the circuits by equivalent resistance from smallest to largest. A. B. C. D. A<B<C C<B<A B<A<C B<C<A R C ε R PRACTICE: A circuit is shown in the circuit diagram below contains three identical resistors (R1 = R2 = R3) of 100 Ω resistance. What is the equivalent resistance of the three resistors? a) 33 Ω b) 50 Ω c) 150 Ω d) 300 Ω PRACTICE: A circuit is shown is the same as before. The battery has an emf of 1.5 V. What is the current through R1? a) 10 mA b) 15 mA c) 225 A d) 1500A QUIZ: A circuit is shown is the same as before. What is the potential difference across R1? a) 0.5 V b) 1.0 V c) 1.5 V d) 3.0 V Example: Two Parallel Wires Is the force on wire 1 due to wire 2 attractive or repulsive? A.Attractive I 1 r L B.Repulsive 2 C.There is no force. D.I don’t know. I Example: Falling Magnet • Suppose a bar magnet falls upward through a loop of wire, south pole first. What is the direction of the induced current? A.Clockwise B.Counter-clockwise C.There is no current D.I don’t know v S Quiz: RL Circuit • An RL circuit has resistance R and inductance L. How long does it take for the voltage in the inductor to decrease to 1/3 of its maximum value? A.τ ln(⅓) B. 3 τ C. τ ln(3) D.⅓ τ Quiz: Rank the maximum, average, and RMS values of M. A. B. C. D. Mrms < Mave < Mmax Mave < Mrms < Mmax Mmax < Mrms < Mave Mave < Mmax < Mrms M +Mmax -Mmax Section 22.1 Quiz: Rank the maximum, average, and RMS values of M. A. B. C. D. Mrms < Mave < Mmax Mave < Mrms < Mmax Mmax < Mrms < Mave Mave < Mmax < Mrms M Mmax Section 22.1