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'

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Chapter16: Electromagnetic Waves
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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
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
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