Coil Moving through a Magnetic Field velocity

One way to think about this is to consider the relationship between the magnetic field and the current induced in the coil. As the coil moves through the field, a current is induced which creates a magnetic field that opposes the original field. This creates a force that acts in the opposite direction of the coil's motion, thus requiring a force to maintain the velocity. In summary, the question is asking for the force required to counteract the induced force and maintain the velocity of the coil at a given time.
  • #1
jdmarquardt
3
0

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.
 
Last edited by a moderator:
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  • #2
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.
 

1. What is the relationship between the velocity of a coil moving through a magnetic field and the induced voltage?

The induced voltage in a coil moving through a magnetic field is directly proportional to the velocity of the coil. This means that as the velocity of the coil increases, the induced voltage will also increase.

2. How does the direction of the coil's movement affect the induced voltage?

The induced voltage will be different depending on the direction of the coil's movement. If the coil moves perpendicular to the magnetic field lines, the induced voltage will be at its maximum. If the coil moves parallel to the magnetic field lines, the induced voltage will be at its minimum.

3. What factors can affect the velocity of a coil moving through a magnetic field?

The velocity of a coil moving through a magnetic field can be affected by the strength of the magnetic field, the number of turns in the coil, the length of the coil, and the angle at which the coil is moving through the magnetic field.

4. How does the velocity of the coil affect the direction of the induced current?

The direction of the induced current will be determined by the direction of the magnetic field and the direction of the coil's movement. If the coil moves in the same direction as the magnetic field, the induced current will be in one direction. If the coil moves in the opposite direction of the magnetic field, the induced current will be in the opposite direction.

5. Can the velocity of a coil moving through a magnetic field be controlled?

Yes, the velocity of a coil moving through a magnetic field can be controlled by adjusting the speed of the coil's movement or by changing the strength of the magnetic field. This can be useful in various applications, such as generators and motors, where the velocity of the coil needs to be precisely controlled to generate a certain voltage or produce a desired motion.

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