The space between two concentric spherical shells of radii a and b> a respectively carries charge density p=kr. [k is a constant with the appropriate units and r is the distance from the centre of the sphere] 11.1 11.2 Draw the graph of p(x). Show all the intercepts. Use Gauss's law to find the electric field in the regions r b respectively. 11.3 Use the equation V Edl to find the potential in the three regions.

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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Please do 11.3
11. The space between two concentric spherical shells of radii a and b> a respectively carries charge
density
p=kr.
[k is a constant with the appropriate units and r is the distance from the centre of the sphere]
11.1
11.2
Draw the graph of p(x). Show all the intercepts.
Use Gauss's law to find the electric field in the regions r <a; a<r<b and r>b
respectively.
Use the equation V -- Edi to find the potential in the three regions.
11.3
11.4 Check that E--VV in all three cases
11.5 Draw the graphs of E(r) and V(r)
Transcribed Image Text:11. The space between two concentric spherical shells of radii a and b> a respectively carries charge density p=kr. [k is a constant with the appropriate units and r is the distance from the centre of the sphere] 11.1 11.2 Draw the graph of p(x). Show all the intercepts. Use Gauss's law to find the electric field in the regions r <a; a<r<b and r>b respectively. Use the equation V -- Edi to find the potential in the three regions. 11.3 11.4 Check that E--VV in all three cases 11.5 Draw the graphs of E(r) and V(r)
Expert Solution
Step 1

The Volume charge density is given by,

ρ(r)=kr

Total charge in shell is,

Q=abρ(r)dv=abkr(4πr2)dr

Q=ab4πkr3dr

Q=πkr4ab

Total charge, =πkb4-a4

 

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