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zero resistant rod

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Date Posted: 7/24/2008 5:17:42 PM  Status: Live
zero resistant rod
Course Textbook Chapter Problem
General Physics N/A N/A N/A
Question Details:
Walker.23.30.jpg
IP The figure shows a zero-resistance rod sliding to the right on two zero-resistance rails separated by the distance L  = 0.35 m   . The rails are connected by a 11.8-Ω resistor, and the entire system is in a uniform magnetic field with a magnitude of 0.850 T.
Find the speed at which the bar must be moved to produce a current of 0.150 A in the resistor.
Would your answer to part A change if the bar was moving to the left instead of to the right?

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Oracle
Karma Points: 9,011
Date Posted: 7/24/2008 5:39:06 PM  Status: Live
Asker's Rating: Lifesaver   
Response:
 
   Net resistance of circuit   =   R   =   11.8   Ω
 
   Voltage required to produce current of  0.150 A   

      V   =   I * R   =   0.150 * 11.8
 
   V   =   1.77   V
 
   EMF induced in a moving conductor   V   =   B * v * L * sin θ
 
   1.77   =   0.850 * v * 0.35 * sin 900
 
   v   =   1.77 / 0.85 * 0.35   =   5.95  m/s
 
   Answer will remain the same, but the direction of emf and hence current will be reversed.
 



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