Using the form for the electric field of a uniformly charged disk of radius R, determine...
Using the form for the electric field of a uniformly charged disk of radius R, determine the far field limit of the electric field at a point on the central axis.
Homework Answers
Suppose the electric charge density on the disk is 
Then the electric field on the central axis of the disk at a distance x away from the center of the disk is
where
is the electrostatic force constant.
In the far field limit
or
Using binomial expansion
or
Hence the electric field is
The total charge on the disk is charge density times area of the disk
Hence the far field limit of the electric field at a point on the central axis is
which is the Coulomb's law for point charge.
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Using the form for the electric field of a uniformly charged
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Suppose you design an apparatus in which a uniformly charged disk of radius R is to...
Suppose you design an apparatus in which a uniformly charged disk of radius R is to produce an electric field. The field magnitude is most important along the central perpendicular axis of the disk, at a point P at distance 4.50R from the disk (see Figure (a)). Cost analysis suggests that you switch to a ring of the same outer radius R but with inner radius R/4.50 (see Figure (b)). Assume that the ring will have the same surface charge...
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Suppose you design an apparatus in which a uniformly charged
disk of radius R is to produce an electric field. The field
magnitude is most important along the central perpendicular axis of
the disk, at a point P at distance 2.50R from the disk (Fig. a).
Cost analysis suggests that you switch to a ring of the same outer
radius R but with inner radius R/2.00 (Fig. b). Assume that the
ring will have the same surface charge density as...
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help A,B and C..thx
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