A metal rod of mass m slides without friction along two parallel horizontal rails, separated by a distance e and connected by a resistor R, as shown in the figure below. A uniform vertical magnetic field of magnitude B is applied perpendicular to the plane of the paper. The applied force shown in the figure acts only for a moment, to give the rod a speed v. In terms of m, e, R, B, and v, find the distance the rod will then slide as it coasts to a stop. d = R Fapp

A metal rod of mass m slides without friction along two parallel horizontal rails, separated by a distance e and connected by a resistor R, as shown in the figure below. A uniform vertical magnetic field of magnitude B is applied perpendicular to the plane of the paper. The applied force shown in the figure acts only for a moment, to give the rod a speed v. In terms of m, e, R, B, and v, find the distance the rod will then slide as it coasts to a stop. d = R Fapp

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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Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

Question

A metal rod of mass \( m \) slides without friction along two parallel horizontal rails, separated by a distance \( \ell \) and connected by a resistor \( R \), as shown in the figure below. A uniform vertical magnetic field of magnitude \( B \) is applied perpendicular to the plane of the paper. The applied force shown in the figure acts only for a moment, to give the rod a speed \( v \). In terms of \( m \), \( \ell \), \( R \), \( B \), and \( v \), find the distance the rod will then slide as it coasts to a stop.

\[ d = \boxed{ \ \ \ \ \ } \]

**Diagram Explanation:**

The diagram shows:
- Two parallel horizontal orange rails.
- A blue rod sliding on these rails.
- The distance between the rails is labeled as \( \ell \).
- A resistor \( R \) is connected across the rails.
- A force \( F_{\text{app}} \) is applied horizontally to the rod.
- The magnetic field is directed into the plane of the paper, perpendicular to the rod.

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