Loops of Current & Torque Rail gun •A rod of mass 0.720 kg rests on two parallel rails that are L- 12.0 cm apart andd-45.0 cm long. • In the current loop shown, the vertical sides experience forces that are equal in magnitude and opposite in direction. • They create a torque around the vertical axis of the loop. • The rod carries a current of I-48.0 A and moves along the rails without friction. A uniform magnetic field of magnitude 0.240 T is directed perpendicular to the rod and rails. If it starts from rest, what is the speed of the rod as it leaves the rails? Loops of Current & Magnetic Torque Loops of Current & Mag Torque -As with the velocity, only the component of the direction of: the current in the wire e Each of the two sides of Iength a experiences a force given bY F=la B in the directions shown. • Since the magnitudes are the same but in opposite direction, EF,-0. perpendicular to B matters. Each of the two shorter sides of length b experiences a force given by F=/b B coso in the directions shown. Since the magnitudes are the

Loops of Current & Torque Rail gun •A rod of mass 0.720 kg rests on two parallel rails that are L- 12.0 cm apart andd-45.0 cm long. • In the current loop shown, the vertical sides experience forces that are equal in magnitude and opposite in direction. • They create a torque around the vertical axis of the loop. • The rod carries a current of I-48.0 A and moves along the rails without friction. A uniform magnetic field of magnitude 0.240 T is directed perpendicular to the rod and rails. If it starts from rest, what is the speed of the rod as it leaves the rails? Loops of Current & Magnetic Torque Loops of Current & Mag Torque -As with the velocity, only the component of the direction of: the current in the wire e Each of the two sides of Iength a experiences a force given bY F=la B in the directions shown. • Since the magnitudes are the same but in opposite direction, EF,-0. perpendicular to B matters. Each of the two shorter sides of length b experiences a force given by F=/b B coso in the directions shown. Since the magnitudes are the

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter13: Electromagnetic Induction

Section: Chapter Questions

Problem 83CP: A square bar of mass m and resistance R is sliding without friction down very long, parallel...

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A square bar of mass m and resistance R is sliding without friction down very long, parallel conducting rails of negligible resistance I see below) The two rails are a distance ' apart and are connected to each other at the bottom of the incline by a zero-resistance wire. The rails are inclined at an angle , and there is a uniform vertical magnetic field B throughout the region, la) Show that the bar acquires a terminal velocity given by vmgRsinB2I2cos2 Calculate the work per unit time done by the force of gravity. (c) Compare this with the power dissipated in the Joule heating of the bar (d) What would happen if B were reversed?