Problem Find the electric potential and the electric field at a point P located on the axis of a uniformly charged ring of radius a and total charge Q. The plane of the ring is chosen perpendicular to the x axis (Fig. 25.16). Strategy Figure 25.16 helps us to visualize the source of the potential and conceptualize what the potential might look like. We expect the potential to be symmetric around the x axis and to decrease for increasing values of x. We categorize this problem as one involving a continuous distribution of charge on the ring rather than a

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Example 25.5 Potential Due to a Uniformly Charged Ring
Problem Find the electric potential and the electric field at a point P
located on the axis of a uniformly charged ring of radius a and total
charge Q. The plane of the ring is chosen perpendicular to the x axis
(Fig. 25.16).
dą
Strategy Figure 25.16 helps us to visualize the source of the
potential and conceptualize what the potential might look like. We
expect the potential to be symmetric around the x axis and to
decrease for increasing values of x. We categorize this problem as one
involving a continuous distribution of charge on the ring rather than a
collection of individual charges.
Figure 25.16 A uniformly charged
ring of radius a, whose plane is
perpendicular to the x axis. All
elements dq of the ring are at the
same distance away from any point
P on the x axis.
Transcribed Image Text:Example 25.5 Potential Due to a Uniformly Charged Ring Problem Find the electric potential and the electric field at a point P located on the axis of a uniformly charged ring of radius a and total charge Q. The plane of the ring is chosen perpendicular to the x axis (Fig. 25.16). dą Strategy Figure 25.16 helps us to visualize the source of the potential and conceptualize what the potential might look like. We expect the potential to be symmetric around the x axis and to decrease for increasing values of x. We categorize this problem as one involving a continuous distribution of charge on the ring rather than a collection of individual charges. Figure 25.16 A uniformly charged ring of radius a, whose plane is perpendicular to the x axis. All elements dq of the ring are at the same distance away from any point P on the x axis.
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