A uniform electric field E is confined to a cylindrical volume of radius R as shown in the figure. The electric field is directed into the page and it changes with time according to Eo =- a + Bt where Eo, a, and 3 are positive constants and t is time. Find the magnitude and the direction of the magnetic field at a perpendicular distance r from the axis of the cylindrical region for r < R (µọ and eo are the permeability and permittivity of free space, respectively, ô is the unit vector in the counterclockwise direction). Select one: Ho€oßEor 2(a + Bt)2' 2(a+ Bt)² (a + ßt) _ Ho€oßEorô (a + Bt) 4(a + Bt)²'
A uniform electric field E is confined to a cylindrical volume of radius R as shown in the figure. The electric field is directed into the page and it changes with time according to Eo =- a + Bt where Eo, a, and 3 are positive constants and t is time. Find the magnitude and the direction of the magnetic field at a perpendicular distance r from the axis of the cylindrical region for r < R (µọ and eo are the permeability and permittivity of free space, respectively, ô is the unit vector in the counterclockwise direction). Select one: Ho€oßEor 2(a + Bt)2' 2(a+ Bt)² (a + ßt) _ Ho€oßEorô (a + Bt) 4(a + Bt)²'
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question
![A uniform electric field E is confined to a cylindrical volume of radius R as
shown in the figure. The electric field is directed into the page and it changes
with time according to
È =
Eo
a + Bt
where Eo, a, and 3 are positive constants and t is time. Find the magnitude and
the direction of the magnetic field at a perpendicular distance r from the axis of
the cylindrical region for r < R (µọ and €o are the permeability and permittivity
of free space, respectively, ô is the unit vector in the counterclockwise direction).
R
Select one:
Ho€oßEor
2(a + Bt)2"
2(a + Bt)²'
(a + ßt)
Ho€oBEor
(a + Bt)
4(a + Bt)2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe530ec5b-9ac6-4690-b2cc-e6d60d27c8b8%2F00ff123a-0804-466e-9dfd-50eea0845937%2Fqa5pnqf_processed.png&w=3840&q=75)
Transcribed Image Text:A uniform electric field E is confined to a cylindrical volume of radius R as
shown in the figure. The electric field is directed into the page and it changes
with time according to
È =
Eo
a + Bt
where Eo, a, and 3 are positive constants and t is time. Find the magnitude and
the direction of the magnetic field at a perpendicular distance r from the axis of
the cylindrical region for r < R (µọ and €o are the permeability and permittivity
of free space, respectively, ô is the unit vector in the counterclockwise direction).
R
Select one:
Ho€oßEor
2(a + Bt)2"
2(a + Bt)²'
(a + ßt)
Ho€oBEor
(a + Bt)
4(a + Bt)2
Expert Solution
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We have to find Magnetic field at distance r from the axis of cylinder.
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