Zero Resistance Rod and Zero Resistance Rails Rod is moving to the right with a

Question

Zero Resistance Rod and Zero Resistance Rails Rod is moving to the right with a Velocity(v) L=0.45m Resistor=12.5 B=0.750T (uniform system) Mag Field is coming out of thepage across entire circuit Find: a) Velocity the bar should move to produce I=0.125A in the12.5 resistor. b)Would answer change if the bar is moved to the leftinstead? I am just stuck on this problem. I am not exactly surewhere to begin. Thank you all for your consideration!! a) Velocity the bar should move to produce I=0.125A in the12.5 resistor. b)Would answer change if the bar is moved to the leftinstead? I am just stuck on this problem. I am not exactly surewhere to begin. Thank you all for your consideration!!

Explanation / Answer

The induced voltage in a single loop is Vemf = d/dt The magnetic flux can be expressed using magnetic field Bas =B A sin() and in this case =90 deg. Area A is A= Lx where L =0.45m Now we have: Vemf = d( B L x)/dt or Vemf = B L dx/dt where dx/dt is velocityv and according to Ohm's Law Vemf =IR we have IR= B L v v = IR/(BL) v= 0.125 x 12.5 /( 0.750 x 0.45 )= v= 4.63 m/s As you can see the velocity will remain the same in magnitudehowever its direction will change the polarity of inducedVemf and direction of the current I. Please let me know if you have any questions.

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