The magnetic flux density in all of space is given by B = (3x+9z)ax +(3x²y)ay +(-(y+3z + 3x²z))a₂ Wb/m². Let S denote the paraboloidal surface defined by y=x² + 2², 0 ≤ y ≤ 64. Find the net magnetic flux passing through S in the direction away from the xz-plane. Hint: Think about whether there is another way to solve this, such as by using a capping surface.
The magnetic flux density in all of space is given by B = (3x+9z)ax +(3x²y)ay +(-(y+3z + 3x²z))a₂ Wb/m². Let S denote the paraboloidal surface defined by y=x² + 2², 0 ≤ y ≤ 64. Find the net magnetic flux passing through S in the direction away from the xz-plane. Hint: Think about whether there is another way to solve this, such as by using a capping surface.
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Transcribed Image Text:The magnetic flux density in all of space is given by
B = (3x+9z)a, + (3x²y)a, + (- (y+ 3z+3x²z))a, Wb/m?.
Let S denote the paraboloidal surface defined by
y = x² +?,
0<y< 64.
Find the net magnetic flux passing through S in the direction
away from the xz-plane.
Hint: Think about whether there is another way to solve this, such
as by using a capping surface.
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