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2007 phy104 3rd Hour Test

# A 5 points for a current i uniformly distributed

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Unformatted text preview: For a current I uniformly distributed through the central conductor, what is the magnitude of the Bfield a distance r from the axis, both inside the conductor (r < R1 ) and outside (R1 < r < R2 )? Provide analytic answers. Physics 104 3rd Hour Examination, April 18, 2006 Problem 1, Page 3 b) (10 points) What is the magnetic flux through each of the two sections shown in the diagram (r < R1 and R1 < r < R2 )? Provide analytic answers. c) (5 points) What is the total inductance per unit length of the cable? (Provide an analytic answer.) If R1 = 0.5 mm and R2 = 3 mm what is the numerical value of this inductance? Physics 104 3rd Hour Examination, April 18, 2006 Problem 2. (15 points) Problem 2, Page 4 Consider the circuit shown in the figure. At time t < 0, capacitor C1 = 300 F is charged to 100 V. We wish to charge capacitor C2 , which is 1200 F. S1 S2 Vo =100V C 1 = 300 F L = 5.3H C2 =1200 F Figure 2: An LC circuit. a) (5 points) Regardless of which switches are opened and closed and in what sequence, from energy considerations, what is the maximum voltage the capacitor C2 can be charged to? What is the charge on C2 at the maximum voltage? Give analytic and numerical answers. Physics 104 3rd Hour Examination, April 18, 2006 Problem 2, Page 5 b) (5 points) Suppose at time t = 0, switch S1 is closed, but switch S2 remains open. What is...
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