(Challenge Problem) Charge is distributed throughout a spherical volume of radius R with a density p = ar², where a is a constant (of unit C/m5). Determine the electric field due to the charge at points both inside and outside the sphere. Give your answers in terms of 'pi', 'alpha', R, k, and r. Determine the total amount of charge in the sphere. Qencl = (4- alpha - R5) 5 What is the electric field outside the sphere? E(r > R) = k ( 4n · alpha · R²) 4π 5 2.2
(Challenge Problem) Charge is distributed throughout a spherical volume of radius R with a density p = ar², where a is a constant (of unit C/m5). Determine the electric field due to the charge at points both inside and outside the sphere. Give your answers in terms of 'pi', 'alpha', R, k, and r. Determine the total amount of charge in the sphere. Qencl = (4- alpha - R5) 5 What is the electric field outside the sphere? E(r > R) = k ( 4n · alpha · R²) 4π 5 2.2
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(Challenge Problem) Charge is
distributed throughout a spherical
volume of radius R with a density
p = ar², where a is a constant (of
unit C/m5). Determine the electric
field due to the charge at points
both inside and outside the sphere.
Give your answers in terms of ‘pi’,
‘alpha', R, k, and r.
Determine the total amount of
charge in the sphere.
(4ñ· alpha · R5)
Qen
encl
..lLTE 36
What is the electric field outside
the sphere?
E(r > R) =
k ( 4n - alpha · RS²)
5
₂.2
>What is the electri Instructions
Transcribed Image Text:Give your answers in terms of 'pi',
‘alpha’, R, k, and r.
Determine the total amount of
charge in the sphere.
Qencl
=
(4π- alpha - R5)
5
What is the electric field outside
the sphere?
E(r > R) =
4π
R
alpha. 5
₂²
>What is the electric field inside
the sphere?
E(r < R) =
3
(k · alpha · ñ·³)
3R²
Instructions ^
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