Help with Calculating Force on Rectangle of Wire

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SUMMARY

The discussion revolves around calculating the net force on a rectangle of wire influenced by a straight wire carrying current. Given parameters include a current I1 of 50.0 Amps, a distance d of 4.9 cm, length L of 19.0 cm, and width r of 7.0 cm. The formula used to determine the force is F=(I1*L*μ*I2/(2π))(1/d-1/(d+r)), where μ represents the permeability of free space. Participants seek clarification on how to apply this formula to find the net force when I2 is 40.0 Amps.

PREREQUISITES
  • Understanding of electromagnetic theory, specifically the interaction between currents.
  • Familiarity with the concept of magnetic flux and induced electromotive force (emf).
  • Knowledge of the formula for force between parallel currents.
  • Basic calculus for integrating magnetic fields over a defined area.
NEXT STEPS
  • Review the derivation of the force formula F=(I1*L*μ*I2/(2π))(1/d-1/(d+r)).
  • Study the principles of magnetic flux and its calculation in different geometries.
  • Explore the concept of induced emf and its applications in circuits.
  • Investigate the role of permeability of free space (μ) in electromagnetic calculations.
USEFUL FOR

Students in physics, particularly those studying electromagnetism, as well as educators looking for practical examples of current interactions and force calculations in wire configurations.

MelanieB
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Homework Statement



I really need help with part c of the question...

Consider a long straight wire and a rectangle of wire as shown (see figure). Here the rectangle is a distance d = 4.9 cm from the straight wire at its nearest approach, with length L = 19.0 cm and width r = 7.0 cm (so the far edge is at distance d+r from the straight wire).

https://capa.mcgill.ca/res/mcgill/dcmcgill/phy142/figs/0012.jpg

a )If a current I1 = 50.0 Amps runs through the straight wire, what is the magnetic flux through the rectangle of wire? (You will need to do a simple integral.)
1.69×10-6 Wb

b) If the current I1 changes at a rate of dI1/dt = 1.100×103 Amps/second, what is the emf induced around the rectangle of wire?
3.71×10-5 V

c) When I1 = 50.0 Amps and I2 = 40.0 Amps, each in the direction indicated with the arrows, what is the net force on the rectangle of wire?

Homework Equations



??

The Attempt at a Solution



F=(I1*L*mu*I2/(2pi))(1/d-1/(d+r))
 
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MelanieB said:

Homework Statement



I really need help with part c of the question...

Consider a long straight wire and a rectangle of wire as shown (see figure). Here the rectangle is a distance d = 4.9 cm from the straight wire at its nearest approach, with length L = 19.0 cm and width r = 7.0 cm (so the far edge is at distance d+r from the straight wire).

https://capa.mcgill.ca/res/mcgill/dcmcgill/phy142/figs/0012.jpg
This link does not seem to work. It may need a login. Could you post the file in PF? Thanks.

AM
 

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