The electric potential difference AV, also called voltage, is expressed in terms of the electric field as follows AV = - | Edr where, a is the initial position and b is the final position. If an electric field in a region in space is defined as E= Br where B is just a constant without an arbitrary value. What is the electric potential difference from position 0 to R?

The electric potential difference AV, also called voltage, is expressed in terms of the electric field as follows AV = - | Edr where, a is the initial position and b is the final position. If an electric field in a region in space is defined as E= Br where B is just a constant without an arbitrary value. What is the electric potential difference from position 0 to R?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter26: Electric Potential

Section: Chapter Questions

Problem 58PQ: In three regions of space, the electric potential is given by...

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Question

The electric potential difference AV, also called voltage, is expressed in terms of the electric field as follows
AV =
| Edr
a
where, a is the initial position and b is the final position.
If an electric field in a region in space is defined as
E= Br
where B is just a constant without an arbitrary value. What is the electric potential difference from position 0 to R?
1
AV =
BR3
3
1
AV =
BR3
AV =
1
(1– B)aR³
2
AV =
Br3
O AV = -(1-B)aR³
1
AV =
Br3
1
AV =
BR2

1
AV =
βR2
1
AV =
Br3
Ο ΔV= (1- βR?)αR
Ο ΔV= - R3

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