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 24that 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 UpProblem 1: Quickies… a)Two semicircular arcs have radii R2and R1, 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 iis 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 θand 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 i1and i2. What is the value of the integral d⋅∫BsGGvfor (a)path 1 and (b)path 2? ction. Problem 2: Two Currents In the figure at left a long circular pipe with outside radius Rcarries a (uniformly distributed) current iinto the page. A wire runs parallel to the pipe at a distance of 3.00Rfrom center to center. Find the current in the wire such that the ratio of the magnitude of the net magnetic field at point Pto the magnitude of the net magnetic field at the center of the pipe is x, but it has the opposite direPS07-1
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