Gaussian shell and electric field

[Jrlinton]

Homework Statement

Homework Equations

The Attempt at a Solution

Okay, parts a-c are zero as they are within both shells.
Lets begin with d because i fear I am just repeating the same error in all of the following parts.

Part d
qenclosed=ρ(4πr^3/3-4πa^3/3)
= 1.98E-9(4π(1.5*.095m)^3/3-4π(.095m)^3/3)
=1.69E-11
E=qenc/(4πΣor^2)
=1.69E-11/(4π(8854E-12)(.1425)^2)
7.475 N/C

Now for e it should be the same process as r is equal to b and for part f the equation should be:
E=(ρ/(3Σo))*((b^3-a^3)/r^2)

 

[haruspex]

Σo

I guess you mean ε₀.

1.98E-9(4π(1.5*.095m)^3/3-4π(.095m)^3/3)
=1.69E-11

Check that.

Your approach to each part looks right.

 

[Jrlinton]

Yes I do mean [SUBε][/SUB0] but couldn't find the correct character nor do I understand the format for subscripts and the like.
To be clear I mean the permittivity of free space

 

[haruspex]

Yes I do mean [SUBε][/SUB0] but couldn't find the correct character nor do I understand the format for subscripts and the like.
To be clear I mean the permittivity of free space

If you click the Σ icon above the reply box two lines of Greek and math symbols will appear below the reply box. You can click on those to get the characters.
For subscripts, two ways:
- click on the X₂ icon, then type or click on the character(s) to be subscripted. When done, move the cursor past the trailing [/ sub] control.
- after typing the text to be subscripted, select that text and click on the X₂ icon.

third way.. manually type [s u b] and [/s u b] brackets, but without those embedded spaces.

 

[Jrlinton]

_ε0

 

[Jrlinton]

that didn't seem to work.. let's try _0ε

 

[Jrlinton]

I should have read your instructions more carefully...
ε₀

 

[haruspex]

I should have read your instructions more carefully...
ε₀

So should we all.

 

[Jrlinton]

I appreciate it, thank you.