RealExam1a

# RealExam1a - Physics 21 Fall 2004 1 2 3 4 5 Total Name...

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Physics 21 Fall, 2004 Hour Exam #1 1 2 3 4 5 Total Name: Recitation Time Recitation Leader Sept. 22, 2004 This exam is closed notes and closed book. You must show enough work on all problems to convince the grader you understand how to solve the problem. You may use a calculator, but you must show a full solution to simultaneous algebraic equations. An equation sheet is on the last page. There are Fve problems; each counts 20 points. Problem 1. 1 4 2 2 I 1 I 3 I 2 1V 8V 9V (a) Write the loop and node equations needed to de- termine the currents I 1 , I 2 ,and I 3 in the circuit shown. Indicate clearly the loop used to deter- mine each loop equation. (b) Determine the currents by explicit solution of the equations. You must show your work.

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Problem 2. The circular ring of charge shown in the diagram is in the xy plane centered at the origin and has a radius R . A total charge of Q is spread uniformly around the ring. R P (x=0,y=0,z) y z x Q θ (a) Find an expression for the linear charge density λ on the ring. (b) Give the components of the vector shown in the diagram from the point on the ring at angle θ (with respect to the x axis) to the point P . (c) Determine the electric ±eld d E at the point P due to the element dQ of charge at the point θ on the ring. (d) Integrate to ±nd the electric ±eld at the point P due to the ring of charge. Your answer should be in terms of Q , R ,and z .
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RealExam1a - Physics 21 Fall 2004 1 2 3 4 5 Total Name...

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