Show that the following expression for the electric field a distance z along the central axis of a thin ring of continuous positive charge is correct. Derive the expression based upon the geometry shown in the diagram below. Let q=total charge of the ring, R=radius of ring. Be sure to state the magnitude and direction of the electric field at the point P. E = kqz (z²+R²) dE P R ds

University Physics Volume 2
18th Edition
ISBN:9781938168161
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Chapter6: Gauss's Law
Section: Chapter Questions
Problem 84AP: A total charge Q is distributed uniformly throughout a spherical volume that is centered at o1 and...
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Show that the following expression for the electric field a distance z along the central axis of a thin ring of continuous positive charge is correct. Derive the expression based upon the geometry shown in the diagram below. Let q-total charge of the ring, R=radius of ring. Be sure to state the magnitude and direction of the electric field at the point P.

Show that the following expression for the electric field a distance z along the central axis of a thin
ring of continuous positive charge is correct. Derive the expression based upon the geometry shown
in the diagram below. Let q=total charge of the ring, R=radius of ring. Be sure to state the magnitude
and direction of the electric field at the point P.
E
kqz
(z²+R²)
dE
P
R
ds
Transcribed Image Text:Show that the following expression for the electric field a distance z along the central axis of a thin ring of continuous positive charge is correct. Derive the expression based upon the geometry shown in the diagram below. Let q=total charge of the ring, R=radius of ring. Be sure to state the magnitude and direction of the electric field at the point P. E kqz (z²+R²) dE P R ds
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OpenStax