Two wires, parallel to the z axis and distance 4r apart, carry equal currents I
ID: 2119484 • Letter: T
Question
Two wires, parallel to the z axis and distance 4r apart, carry equal currents I =0.48 A in opposite directions, as shown in Fig. 32-40. A circular cylinder of radius r and length L=8 cm has its axis on the z axis, midway between the wires. Use Gauss' law for electromagnetism to calculate the net outward magnetic flux through the half of the cylindrical surface above the x axis. (Hint: Find the flux through that portion of the xz plane that is within the cylinder. )
? mWb
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Explanation / Answer
The answer starts at "Take the integral of the above from 1r to 3r" , the setting up starts next line.
si = (A)*(B)*(n)*cos(teta) where
A is the area of the half circle
B is the magnetic field
n is the number of wires
Derive the formula to get
d(si) = [2*u*I*L*dx*cos(teta)] / [2*pi*x] where
cos(teta) is 1
Take the integral of the above from 1r to 3r
[ (2*u*I*L) / (2*pi) ] * ln(3)
remember u is 4*pi X 10^-7
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