Help with Calculating Force on Rectangle of Wire

AI Thread Summary
The discussion focuses on calculating the net force on a rectangle of wire influenced by a nearby straight wire carrying current. The rectangle is positioned 4.9 cm from the wire, with specified dimensions. The magnetic flux through the rectangle and the induced emf due to changing current have been calculated, yielding values of 1.69×10-6 Wb and 3.71×10-5 V, respectively. The formula for the net force on the rectangle, incorporating the currents and distances involved, is provided. Assistance is requested specifically for part c of the problem regarding the net force calculation.
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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