Identify the best method for finding the electric field strength at the test point, choosing from the following options A-E for each of the listed source configuration a-f. A. Coulomb's law for a point source charge B. Dipole field C. Sum of Coulomb's law fields D. Integral of Coulomb's law fields E. Gauss's law NOTE: In the configurations, x<> and >. a. A uniform, horizontal circle (ring) radius R of charge. The test point is on the vertical line though the center of the circle, a distance y

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Identify the best method for finding the electric field strength at the test point, choosing from the
following options A-E for each of the listed source configuration a-f.
A. Coulomb's law for a point source charge
B. Dipole field
C. Sum of Coulomb's law fields
D. Integral of Coulomb's law fields
E. Gauss's law
NOTE: In the configurations, x<<y means x is much less (several orders of magnitude) smaller than y,
while x<y means x is less than y but not necessarily much less. Similarly for >> and >.
a. A uniform, horizontal circle (ring) radius R of charge.
The test point is on the vertical line though the center
of the circle, a distance y<R above the center.
b. A uniformly charged sphere of charge, radius R. The
test point is on the vertical line though the center of the
sphere at a distance y>R above the center.
c. A uniformly charged sphere of charge, radius R. The
test point is on the vertical line though the center of the
sphere at a distance r<R from the center.
d. A uniformly charged sphere of charge, radius R. The
test point is on the vertical line though the center of the
sphere at a distance r>>R from the center.
e. A horizontal line of charge length L and radius R<<L.
The test point is above the midpoint of the line at a
distance from the center of the line R<y<<L.
f. A horizontal line of charge length L and radius R<<L.
The test point is above the midpoint of the line at a
distance from the center of the line R<<y<L.
Transcribed Image Text:Identify the best method for finding the electric field strength at the test point, choosing from the following options A-E for each of the listed source configuration a-f. A. Coulomb's law for a point source charge B. Dipole field C. Sum of Coulomb's law fields D. Integral of Coulomb's law fields E. Gauss's law NOTE: In the configurations, x<<y means x is much less (several orders of magnitude) smaller than y, while x<y means x is less than y but not necessarily much less. Similarly for >> and >. a. A uniform, horizontal circle (ring) radius R of charge. The test point is on the vertical line though the center of the circle, a distance y<R above the center. b. A uniformly charged sphere of charge, radius R. The test point is on the vertical line though the center of the sphere at a distance y>R above the center. c. A uniformly charged sphere of charge, radius R. The test point is on the vertical line though the center of the sphere at a distance r<R from the center. d. A uniformly charged sphere of charge, radius R. The test point is on the vertical line though the center of the sphere at a distance r>>R from the center. e. A horizontal line of charge length L and radius R<<L. The test point is above the midpoint of the line at a distance from the center of the line R<y<<L. f. A horizontal line of charge length L and radius R<<L. The test point is above the midpoint of the line at a distance from the center of the line R<<y<L.
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