In the figure, a long rectangular conducting loop, of width \( L = 22 \, \text{cm} \), resistance \( R = 14 \, \Omega \), and mass \( m = 0.11 \, \text{kg} \), is hung in a horizontal, uniform magnetic field of magnitude \( 1.1 \, \text{T} \) that is directed into the page and that exists only above line \( aa \). The loop is then dropped; during its fall, it accelerates until it reaches a certain terminal speed \( v_t \). Ignoring air drag, find the terminal speed.**Diagram Explanation:**- The diagram shows a rectangular loop with width \( L \) aligned vertically.- The magnetic field \( \vec{B} \) is represented by crosses (indicating a direction into the page) and occupies the space above the dashed line labeled \( aa \).- An arrow labeled \( mg \) points downward, indicating the force of gravity on the loop.**Calculation Box:**- A field is provided to input the calculated terminal speed in meters per second (m/s).

The width of the loop is The resistance of the loop is The mass of the loop is The magnetic field strength is The magnetic force acting on the loop is The weight of the loop is acting downward. As the loop is moving with a constant speed the net force on it must be zero. Therefore When the loop is moving with the terminal speed , the induced emf in the loop is Now the induced current in the loop is Equating (2) and (3) we getSubstituting the values in the above equation we get the terminal speed of the loop isThe terminal speed of the loop is

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Physics

In the figure, a long rectangular conducting loop, of width L = 22 cm, resistance R = 142, and mass m = 0.11 kg, is hung in a horizontal, uniform magnetic field of magnitude 1.1 T that is directed into the page and that exists only above line aa. The loop is then dropped; during its fall, it accelerates until it reaches a certain terminal speed v₁. Ignoring air drag, find the terminal speed. L

In the figure, a long rectangular conducting loop, of width L = 22 cm, resistance R = 142, and mass m = 0.11 kg, is hung in a horizontal, uniform magnetic field of magnitude 1.1 T that is directed into the page and that exists only above line aa. The loop is then dropped; during its fall, it accelerates until it reaches a certain terminal speed v₁. Ignoring air drag, find the terminal speed. 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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