Magnetic flux- is this the correct way to solve it?

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Homework Help Overview

The discussion revolves around a problem involving a rectangular wire loop being pulled into a magnetic field. The problem includes parameters such as the dimensions of the loop, its mass, resistance, and the magnetic field strength, with the goal of determining the force required to maintain a constant velocity as the loop enters the field.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss various equations related to magnetic flux, induced voltage, and force. There are attempts to derive the necessary force using different approaches, including the relationship between current, magnetic field, and velocity. Questions are raised regarding the induced emf and current through the loop.

Discussion Status

Some participants express confidence in their understanding and calculations, suggesting that they have arrived at a formulation for the force based on their reasoning. However, there is no explicit consensus on the correctness of the approaches taken, and multiple interpretations of the problem are being explored.

Contextual Notes

Participants are working within the constraints of the problem statement and are attempting to clarify the relationships between the variables involved, such as the dimensions of the loop and the characteristics of the magnetic field.

t123123
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Homework Statement


As shown below, a rectangular wire loop of height 1.0 m, width 1.5 m, mass 0.10 kg, and resistance 10.0 Ω is pulled into a region of uniform magnetic field with magnitude 1.0 T pointing into the page (perpendicular to the plane of the loop). Determine the force necessary to pull the loop completely into the magnetic field region at a constant velocity of 5.0 m/s.

Homework Equations


magnetic flux=BA
inducedvoltage(V) =magnetic flux/dt
V=IR
F=qvB

The Attempt at a Solution


If magnetic flux is Z then
Z=BA
and V= Z/t = BA/ t
V=IR
IR=BA/t
Q/t *R =BA/t
then Q=BA/R
Q=1.0*(1.0*1.5)/10=.15C

F=.15C*5m/s*1.0T=0.75N
 
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t123123 said:
Determine the force necessary to pull the loop completely into the magnetic field region at a constant velocity of 5.0 m/s.
What is the emf induced in the loop when the wire is moving with a velocity of 5m/s? Use the motional emf equation.
What is the current through the loop?

Finally, what is the force acting on the wire due to this current?
 
Thank you! I think I figured it out.I needed to use F=ILB then F=V/RLB and F=dZ/dt/R*LB =BLv/R*LB which is L^2B^2V/R
 
t123123 said:
Thank you! I think I figured it out.I needed to use F=ILB then F=V/RLB and F=dZ/dt/R*LB =BLv/R*LB which is L^2B^2V/R
Looking good if you used L = side perpendicular to B and dZ/dt.
 

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