Consider the special shape pictured in the diagram below. It is a cylinder, centered on the origin with its axis oriented along z, and it has been partially hollowed to leave two cone-shaped cavities at the top and bottom of the cylinder.

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Consider the special shape pictured in the
diagram below. It is a cylinder, centered on
the origin with its axis oriented along z, and
it has been partially hollowed to leave two
cone-shaped cavities at the top and bottom
of the cylinder.
The radius of the object is a, its height is 2a,
and the solid part of the object (the shaded
region that is visible in the rightmost panel of
the illustration above, which shows a
drawing of the cross-section of the object)
has a uniform volume charge density of po.
Assume that the object is spinning counter
clockwise about its cylinder axis at an
angular frequency of w.
Which of the following operations is part of
the calculation of the magnitude of the
current density that is associated with the
motion of the rotating object as a function of
r (select all that apply)?
Transcribed Image Text:Consider the special shape pictured in the diagram below. It is a cylinder, centered on the origin with its axis oriented along z, and it has been partially hollowed to leave two cone-shaped cavities at the top and bottom of the cylinder. The radius of the object is a, its height is 2a, and the solid part of the object (the shaded region that is visible in the rightmost panel of the illustration above, which shows a drawing of the cross-section of the object) has a uniform volume charge density of po. Assume that the object is spinning counter clockwise about its cylinder axis at an angular frequency of w. Which of the following operations is part of the calculation of the magnitude of the current density that is associated with the motion of the rotating object as a function of r (select all that apply)?
differentiating the charge density with respect
to time
O integrating over r with 0 and a as the limits of
integration
O integrating over the azimuthal angle p with 0
and 2n as the limits of integration
expressing (in terms of r) the cross-sectional
area of the part of the spinning object that is
bounded by the region where (x^2+y^2) < r^2
Transcribed Image Text:differentiating the charge density with respect to time O integrating over r with 0 and a as the limits of integration O integrating over the azimuthal angle p with 0 and 2n as the limits of integration expressing (in terms of r) the cross-sectional area of the part of the spinning object that is bounded by the region where (x^2+y^2) < r^2
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