To specify all three of p, Q and a is redundant, but is done here to make it easier to enter answers. What is Q in terms of p and a? Find the magnitude of the electric field in the following regions. r

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A solid, insulating sphere of radius a has a uniform charge density of p and a total charge of Q. Concentric with this sphere is a conducting hollow sphere whose inner and outer radii are b and c, as shown in the figure below, with a charge of -8Q.
Insulator
Conductor
To specify all three of p, Q and a is redundant, but is done here to make it easier to enter answers. What is Q in terms of p and a?
Q =
Find the magnitude of the electric field in the following regions.
r<a (Use the following as necessary: p, ɛ0, and r.)
E =
a <r<b (Use the following as necessary: Q, En, T, and r.)
E =
b <r<c (Use the following as necessary: Q, 80, T, and r.)
E =
r> c (Use the following as necessary: Q, 80, T, and r.)
E =
Determine the induced charge densities on the inner and outer surfaces of the hollow sphere. (Use the following as necessary: Q, En, TT, a, b, and c.)
inner surface
Oinner =
outer surface
Oouter =
Transcribed Image Text:A solid, insulating sphere of radius a has a uniform charge density of p and a total charge of Q. Concentric with this sphere is a conducting hollow sphere whose inner and outer radii are b and c, as shown in the figure below, with a charge of -8Q. Insulator Conductor To specify all three of p, Q and a is redundant, but is done here to make it easier to enter answers. What is Q in terms of p and a? Q = Find the magnitude of the electric field in the following regions. r<a (Use the following as necessary: p, ɛ0, and r.) E = a <r<b (Use the following as necessary: Q, En, T, and r.) E = b <r<c (Use the following as necessary: Q, 80, T, and r.) E = r> c (Use the following as necessary: Q, 80, T, and r.) E = Determine the induced charge densities on the inner and outer surfaces of the hollow sphere. (Use the following as necessary: Q, En, TT, a, b, and c.) inner surface Oinner = outer surface Oouter =
Expert Solution
Step 1

Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and specify the other subparts (up to 3) you’d like answered.

Gauss's Law

The surface integral of the electric field on any closed surface is equal to 1εo times the total charge enclosed within the closed surface.

SE.dS=qencεo

 

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