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ps07

# ps07 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of...

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PS07-1 MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Fall 2008 Label with your name, table number and group. Turn in at the homework box. Problem Set 7 Due: Thursday, October 23 rd at 12:00 pm 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 i v for (a) path 1 and (b) path 2? d) Four infinitely long parallel wires carrying equal current I are arranged in such a way that when looking at the cross section, they are at the corners of a square, as shown in the figure below. Currents in A and D point out of the page, and into the page at B and C . What is the magnetic field at the center of the square?

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ps07 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of...

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