Fall 2010 Exam 1 Solutions

# Fall 2010 Exam 1 Solutions - Physics 21 Fall 2010 Solution...

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Physics 21 Fall, 2010 Solution to Hour Exam #1 The graders for the problems were: 1 Jones, 2 Faust, 3 Malenda, 4 and 5 Beels For questions about the grading, see the grader by Oct. 27. Problem 1. Consider the following circuit: 2 I 1 11 V 21 V 7 3 I 2 I 3 ab cd loop 1 loop 2 loop 3 (a) (13 pts.) Write Kirchho±’s loop and junction (or node) equations needed to determine the currents I 1 , I 2 ,and I 3 . Use the currents and their di- rections speci²ed by the arrows in the diagram. You must write these equations as defned in Physics 21. You should have three equations for three unknowns. Draw clearly and label on the diagram the loop used to determine each loop equation. (b) (3 pts.) Determine the currents I 1 , I 2 I 3 (including the correct sign) by explicit solution of the equations you determined in part (a). You must show your work. (c) (2 pts.) Use the currents you calculated in part (b) to ²nd the potential di±erence V d - V a be- tween the corner points labelled d and a on the diagram, using the path through corner point b . Show your work. (d) (2 pts.) Repeat part (c), but take the path through corner point c . Show your work, includ- ing the potential change across the resistor and battery separately. You should get the same value

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Fall 2010 Exam 1 Solutions - Physics 21 Fall 2010 Solution...

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