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Homework Help: Magnetic flux problem

  1. Dec 7, 2004 #1
    Find the magnetic flux crossing the portion of the plane
    theta = x/4 defined by 0.01 m < r <0.05 m and 0 m < z < 2 m. A current of 2.50 A is flowing along z-axis along a very long wire.

    in drawing the picture i know that there is a long thin wire with a current of 2.5 amps flowing positively on the z-axis and the plane is lying rotated at an angle of pi/4 with the magnetic field flowing in a counter clockwise direction.

    How do I go about finding the magnetic flux.
    Please help.
     
  2. jcsd
  3. Dec 8, 2004 #2

    Galileo

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    Should that be theta=pi/4?


    [tex]\Phi_B=\int_P \vec B \cdot d\vec a[/tex]

    Since the plane lies parallel with the z-axis, its normal points in the same direction as the magnetic field everywhere in the plane, so you can drop the dot in the integrand

    [tex]\Phi_B=\int_P B da[/tex]

    Recall that the magnitude of the magnetic field of a long wire is:

    [tex]B(r)=\frac{\mu_0 I}{2\pi r}[/tex]
    where r is the distance from the wire.
     
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