2 of 5 1. Assume that an observer calculates electric field and potential by measuring the force on a test charge. This observer moves along the path described by the green arrow. Finally, assume the system is in vacuum. (a) Plot and justify E,V for a line charge of density pip arranged in a ring shape. The path goes through the center of the ring and is perpendicular to the ring area. Let us assume V = 0 is defined infinitely far away at z → 00. P1D Wire ring Observer path E V (b) Suppose the observer is far enough away that z » rg- Discuss whether it is appropriate to express E,V as if the ring charge were a point charge.
2 of 5 1. Assume that an observer calculates electric field and potential by measuring the force on a test charge. This observer moves along the path described by the green arrow. Finally, assume the system is in vacuum. (a) Plot and justify E,V for a line charge of density pip arranged in a ring shape. The path goes through the center of the ring and is perpendicular to the ring area. Let us assume V = 0 is defined infinitely far away at z → 00. P1D Wire ring Observer path E V (b) Suppose the observer is far enough away that z » rg- Discuss whether it is appropriate to express E,V as if the ring charge were a point charge.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Plot and justify ?, ? for a line charge of density ?1? arranged in a ring shape. The path goes through the center of the ring and is perpendicular to the ring area. Let us assume ? = 0 is defined infinitely far away at ? → ∞.
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1. Assume that an observer calculates electric field and potential by measuring the force on a test charge.
This observer moves along the path described by the green arrow. Finally, assume the system is in vacuum.
(a) Plot and justify E,V for a line charge of density Pip arranged in a ring shape. The path goes
through the center of the ring and is perpendicular to the ring area. Let us assume V = 0 is
defined infinitely far away at z → 0.
Wire ring
P1D
Observer path
E
V
(b) Suppose the observer is far enough away that z > p. Discuss whether it is appropriate to
express E,V as if the ring charge were a point charge.
2. Consider the following capacitors under voltage constant condition.
(a) Plot E, V through the capacitor, one with a dielectric slab and the other with a metal slab. The
rest of the space is filled with vacuum. Let V = 0 be defined at the right capacitor plate. Pay
special attention to making sure the different regions on the plots line up with the schematic.
Vo
Vo
d
uctor"
Transcribed Image Text:2 of 5
1. Assume that an observer calculates electric field and potential by measuring the force on a test charge.
This observer moves along the path described by the green arrow. Finally, assume the system is in vacuum.
(a) Plot and justify E,V for a line charge of density Pip arranged in a ring shape. The path goes
through the center of the ring and is perpendicular to the ring area. Let us assume V = 0 is
defined infinitely far away at z → 0.
Wire ring
P1D
Observer path
E
V
(b) Suppose the observer is far enough away that z > p. Discuss whether it is appropriate to
express E,V as if the ring charge were a point charge.
2. Consider the following capacitors under voltage constant condition.
(a) Plot E, V through the capacitor, one with a dielectric slab and the other with a metal slab. The
rest of the space is filled with vacuum. Let V = 0 be defined at the right capacitor plate. Pay
special attention to making sure the different regions on the plots line up with the schematic.
Vo
Vo
d
uctor
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