Shown in the figure below is a hollow disk of charge. The disk carries a charge density ? and has an inner radius R1 and an outer radius R2. You are to calculate the magnitude of the field at the point P which is a distance z above the plane of the disk. Which is the natural coordinate system to use for this integral? CylindricalSpherical Cartesian How many dimensions should you integrate over? 13 2 Determine the area element, dA = Determine the charge element, dQ = Determine the distance, s = Determine the so-called, cos(?) = Determine the integrand, ∬ Determine the lower bound of the ? integral: Determine the upper bound of the ? integral: Determine the lower bound of the r integral: Determine the upper bound of the r integral: Determine the final result of the integration:

Shown in the figure below is a hollow disk of charge. The disk carries a charge density ? and has an inner radius R1 and an outer radius R2. You are to calculate the magnitude of the field at the point P which is a distance z above the plane of the disk. Which is the natural coordinate system to use for this integral? CylindricalSpherical Cartesian How many dimensions should you integrate over? 13 2 Determine the area element, dA = Determine the charge element, dQ = Determine the distance, s = Determine the so-called, cos(?) = Determine the integrand, ∬ Determine the lower bound of the ? integral: Determine the upper bound of the ? integral: Determine the lower bound of the r integral: Determine the upper bound of the r integral: Determine the final result of the integration:

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Question

Shown in the figure below is a hollow disk of charge. The disk carries a charge density ? and has an inner radius R₁ and an outer radius R₂. You are to calculate the magnitude of the field at the point P which is a distance z above the plane of the disk.

Which is the natural coordinate system to use for this integral?

CylindricalSpherical Cartesian

How many dimensions should you integrate over?

13 2

Determine the area element, dA =

Determine the charge element, dQ =

Determine the distance, s =

Determine the so-called, cos(?) =

Determine the integrand, ∬

Determine the lower bound of the ? integral:

Determine the upper bound of the ? integral:

Determine the lower bound of the r integral:

Determine the upper bound of the r integral:

Determine the final result of the integration:

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