A bar of mass m rests perpendicularly on a pair of rails separated by a distance L that lie in the xy-plane, as shown. The bar is initially at the left edge of the rails at position x = 0. An external force moves the bar in the +x-direction at a constant speed v. The apparatus lies in a region of magnetic field B that is parallel to the xz-plane and points at an angle 0 to the left of the +x-axis. The magnitude B of the magnetic field decreases in the x-direction according to the equation Ba/(c+x), where a and c are positive constants. Derive an expression for the magnetic flux B(t) as a function of time t through the loop formed by the bar and rails. Define the normal to the loop to be in the +z-direction, and express your answer in terms of the given quantities. B(t) = = aL sin (0) In c+vt 9) In (c+w) e L

A bar of mass m rests perpendicularly on a pair of rails separated by a distance L that lie in the xy-plane, as shown. The bar is initially at the left edge of the rails at position x = 0. An external force moves the bar in the +x-direction at a constant speed v. The apparatus lies in a region of magnetic field B that is parallel to the xz-plane and points at an angle 0 to the left of the +x-axis. The magnitude B of the magnetic field decreases in the x-direction according to the equation Ba/(c+x), where a and c are positive constants. Derive an expression for the magnetic flux B(t) as a function of time t through the loop formed by the bar and rails. Define the normal to the loop to be in the +z-direction, and express your answer in terms of the given quantities. B(t) = = aL sin (0) In c+vt 9) In (c+w) e L

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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