Oups. Original answer full of typos.
I didn't sleep trying to do this assignment. :frown: Here is the corrected version without the typos.
A metal sphere of radius R with a charge q is surrounded by a concentric metal sphere as shown in Figure P.23. The outer surface of the spherical shell...
A metal sphere of radius R with a charge q is surrounded by a concentric metal sphere as shown in Figure P.23. The outer surface of the spherical shell has a charge of + 30.0 μC and the inner surface of the shell has a charge of +25.0 μC.
b is the radius of the inner surface of the shell and a...
I think I got it.
You must think I'm a bit slow. :)
λ = Q/ΘR (Charge/divided by length of the arc)
I haven't lost my R after all!
Θ/2
V = ∫ λdBR/(4 Π Ε0 R)
-Θ/2
Θ/2
V = λR/(4 Π Ε0 R) ∫ dB
-Θ/2
Θ/2...
λ is the linear charge density.
That actually makes senses to me. Thanks. Of course, you would want to integrate over the angle subtended by the arc. Would 0 and theta also be valid limits then?
So, I now have my limits, but I still end up with the same absurd problem of losing my R. What...
An insulating rod of length l is bent into a circular arc of radius R that subtends an angle theta from the center of the circle. The rod has a charge Q ditributed uniformly along its length. Find the electric potential at the center of the circular arc.
Struggling with this problem.
I...
A metal sphere of radius R with a charge q is surrounded by a concentric metal sphere as shown in Figure P.23. The outer surface of the the sperical shell has a charge of + 30.0*10^-6C and the inner surface of the shell has a charge of +25.0*10^-6C.
(a) Find q
(b) Sketch qualitative graphs...