Question
A uniformly charged straight wire (radius a) has linear charge density lambda. The wire is coated with a dielectric material chi with external radius b.
I need to find the electric field everywhere and the volume and surface bound charge distrobutions but I do not know where to even start :(
Use Gauss law. I will be happy to critique your work. Use gaussian cylinders, you know the charge enclosed.
This is what I got:
r < a: E = lambda/(2*pi*r*Eo) r^
a < r < b: E = lambda / (2*pi*r*Eo(1+chi)) r^
r > b: E = lambda/(2*pi*Eo*r) r^
THen for the surface/volume bound charges:
sigma = lambda/(2*pi*r)
rho = lambda/(pi*r^2)
for r < a and replace the a for when r > a. I'm really not at all confident in my answer, I really did just kind of guess and hope for the best from a solved example in my book :(
I need to find the electric field everywhere and the volume and surface bound charge distrobutions but I do not know where to even start :(
Use Gauss law. I will be happy to critique your work. Use gaussian cylinders, you know the charge enclosed.
This is what I got:
r < a: E = lambda/(2*pi*r*Eo) r^
a < r < b: E = lambda / (2*pi*r*Eo(1+chi)) r^
r > b: E = lambda/(2*pi*Eo*r) r^
THen for the surface/volume bound charges:
sigma = lambda/(2*pi*r)
rho = lambda/(pi*r^2)
for r < a and replace the a for when r > a. I'm really not at all confident in my answer, I really did just kind of guess and hope for the best from a solved example in my book :(