A cube of edge length { = 3.20 cm is positioned as shown in the figure below. A uniform magnetic field given by B = (6.3 î + 4.0 ĵ + 3.0 k) T exists throughout the region. (a) Calculate the magnetic flux through the shaded face. mWb (b) What is the total flux through the six faces? mWb

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A cube of edge length e = 3.20 cm is positioned as shown in the figure below. A uniform magnetic field given by B = (6.3 î + 4.0 ĵ + 3.0 k) T exists throughout the region.
(a) Calculate the magnetic flux through the shaded face.
mWb
(b) What is the total flux through the six faces?
mWb
Transcribed Image Text:A cube of edge length e = 3.20 cm is positioned as shown in the figure below. A uniform magnetic field given by B = (6.3 î + 4.0 ĵ + 3.0 k) T exists throughout the region. (a) Calculate the magnetic flux through the shaded face. mWb (b) What is the total flux through the six faces? mWb
A cube of side l is positioned in
the xyz|coordinate space, with
the +x-axis to the right, the
+y-axis upward, and the +z-axis
out of the page. One corner of
the cube is at the origin, and
three edges of the cube lie along
the +x-, +y-, and +z-axes. The
rightmost face, which is parallel
to the ýz plane, is shaded. The
magnetic field vector B points
upward, outward, and to the
fight.
Transcribed Image Text:A cube of side l is positioned in the xyz|coordinate space, with the +x-axis to the right, the +y-axis upward, and the +z-axis out of the page. One corner of the cube is at the origin, and three edges of the cube lie along the +x-, +y-, and +z-axes. The rightmost face, which is parallel to the ýz plane, is shaded. The magnetic field vector B points upward, outward, and to the fight.
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