Problem Set 7

# Problem Set 7 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Fall 2007 Turn in at your table during class labeled with your name and group (e.g. L02 3C) Problem Set 7 Due: Wednesday, October 24 th at beginning of class (before 10:15/1:15) This problem set focuses on material from classes 15-17 (week 7). Textbook references can be found at the top of the summaries from these three days. Warm Up Problem 1: Quickies… a) Two semicircular arcs have radii R 2 and R 1 , carry current i , and share the same center of curvature C. What is the magnitude of the net magnetic field at C? b) A wire with current i is shown at left. Two semi-infinite straight sections, both tangent to the same circle with radius R , are connected by a circular arc that has a central angle θ and runs along the circumference of the circle. The connecting arc and the two straight sections all lie in the same plane. If B = 0 at the center of the circle, what is θ ? c) The figure at left shows two closed paths wrapped around two conducting loops carrying currents i 1 and i 2 . What is the value of the integral d B s G G v for (a) path 1 and (b) path 2? ction. Problem 2: Two Currents In the figure at left a long circular pipe with outside radius R carries a (uniformly distributed) current i into the page. A wire runs parallel to the pipe at a distance of 3.00 R from center to center. Find the current in the wire such that the ratio of the magnitude of the net magnetic field at point P to the magnitude of the net magnetic field at the center of the pipe is x , but it has the opposite dire PS07-1

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