Coil Moving through a Magnetic Field velocity

AI Thread Summary
To maintain a constant velocity of a rectangular coil moving through a magnetic field, a force is necessary to counteract the induced electromotive force (emf) generated by the coil's motion. The coil's resistance and the magnetic field strength contribute to the induced current, which in turn creates a magnetic force opposing the motion. Calculating the induced emf involves using Faraday's law of electromagnetic induction, which relates the change in magnetic flux to the induced emf. The required force can then be determined by considering the relationship between the induced current, resistance, and the magnetic force acting on the coil. Understanding these principles is crucial for solving the problem effectively.
jdmarquardt
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Homework Statement



At t=0, a rectangular coil of resistance R = 2 ohms and dimensions w = 3 cm and L = 8 cm enters a region of constant magnetic field B = 1.6 T directed into the screen as shown. The length of the region containing the magnetic field is LB = 15 cm. The coil is observed to move at constant velocity v = 5 cm/s. What is the force required at time t = 0.8 sec to maintain this velocity?
image:
https://wug-s.physics.uiuc.edu/cgi/courses/shell/common/showme.pl?cc/DuPage/phys2112/summer/homework/Ch-27-Induction/IE_B_field_from_movingcoil/pic2.gif


not actually sure where to start. any suggestions on where to start would be welcomed.
Thank you.
 
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Hi jdmarquardt. Since you are asked to find a force, you should first try to understand conceptually why a force would be required to move the coil at constant speed.
 

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