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CH 29 #82 Physics 8ed Halliday Resnick

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Date Posted: 7/24/2008 5:23:04 PM  Status: Live
CH 29 #82 Physics 8ed Halliday Resnick
Course Textbook Chapter Problem
Calculus Based Physics Fundamentals of Physics Extended (8th) by Resnick, Halliday, Walker N/A N/A
Question Details:
Three long wires all lie in an xy plane parallel to the x axis.  They intersect the y axis at the origin, y=d, and y=2d, where d=6.6cm.  The two outer wires each carry a current of 3.4 A in the positive x direction.  What is the magnitude of the force on a 4.4m section of either of the outer wires if the current in the center wire is 3.8A (a) in the positive x direction and (b) in the negative x direction?
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Date Posted: 7/25/2008 7:38:15 AM  Status: Live
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Response:
l = 4.4 m
d = 6.6 cm = 0.066 m
I1 = I3 = 3.4 A
I2 = 3.8 A
(a) Force on the middle wire due to the first wire is given by
   [towards -y axis]
 
Force on the middle wire due to the third wire is given by
   [towards +y axis]
Since they are oppositely directed, Fnet = F1 - F3 = 0.
You may put and check that F1 = F3.
(b) In this case the direction of F1 is along +y axis and that of F3 is along -y axis. Again, Fnet = 0.



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