Charge is distributed throughout a spherical volume of radius R with a density p= ar², where a is a constant (of unit C/m³, in case it matters). Determine the electric field due to the charge at points both inside and outside the sphere, following the next few steps outlined. Hint a. Determine the total amount of charge in the sphere. Hint for finding total charge Qencl (Answer in terms of given quantities, a, R, and physical constants ke and/or eo. Use underscore ("__)) for subscripts, and spell out Greek letters.) b. What is the electric field outside the sphere? E(r> R) = c. What is the electric field inside the sphere? Hint for E within sphere E(r < R) =
Charge is distributed throughout a spherical volume of radius R with a density p= ar², where a is a constant (of unit C/m³, in case it matters). Determine the electric field due to the charge at points both inside and outside the sphere, following the next few steps outlined. Hint a. Determine the total amount of charge in the sphere. Hint for finding total charge Qencl (Answer in terms of given quantities, a, R, and physical constants ke and/or eo. Use underscore ("__)) for subscripts, and spell out Greek letters.) b. What is the electric field outside the sphere? E(r> R) = c. What is the electric field inside the sphere? Hint for E within sphere E(r < R) =
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Transcribed Image Text:Charge is distributed throughout a spherical volume of radius R with a density p = ar², where a is a
constant (of unit C/m³, in case it matters). Determine the electric field due to the charge at points both
inside and outside the sphere, following the next few steps outlined.
Hint
a. Determine the total amount of charge in the sphere.
Hint for finding total charge
Qencl =
(Answer in terms of given quantities, a, R, and physical constants ke and/or Eg. Use underscore ("_")
for subscripts, and spell out Greek letters.)
b. What is the electric field outside the sphere?
E(r> R) =
c. What is the electric field inside the sphere?
Hint for E within sphere
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E(r < R) =
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