Difference between revisions of "Chapter 29 Problem 73"

From 105/106 Lecture Notes by OBM
 
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==Solution==
 
==Solution==
[[File:Chapter29Problem73s.png|500px|center|Rotation and flux]]
+
[[File:Chapter29Problem73s.png|300px|center|Rotation and flux]]
 
<math>d\mathcal{E}=Bvdr=B\omega r dr </math>
 
<math>d\mathcal{E}=Bvdr=B\omega r dr </math>
  
 
<math>\mathcal{E}=\int d\mathcal{E}=\int_0^{l}B\omega r dr=\frac{1}{2}B\omega l^2</math>
 
<math>\mathcal{E}=\int d\mathcal{E}=\int_0^{l}B\omega r dr=\frac{1}{2}B\omega l^2</math>

Latest revision as of 07:52, 30 April 2019

Problem

Rotating metal rod

A thin metal rod of length rotates with angular velocity about an axis through one end. The rotation axis is perpendicular to the rod and is parallel to a uniform magnetic field . Determine the emf developed between the ends of the rod

Solution

Rotation and flux