Cylindrical Capacitors Questions

[apphysicsgirl]

Homework Statement

An isolated cylindrical capacitor consists of two concentric conducting cylinders of length L and radii a and b. The inner and outer conductors carry +Q and -Q, respectively.
a. Determine the electric field between the conductors.
b. Determine the electric potential difference between the two conductors.
c. What is the capacitance of this device?

Homework Equations

V=$$\int$$E dL
$$\oint$$E dA=Q/Epsilon
C=Q/V

The Attempt at a Solution

a. I got as my answer E=Q/(2$$\pi$$Epsilon not (aL))
b. I used the integral with V and got Q/(2$$\pi$$Epsilon not (a) (ln(b/a))
c. I plugged my answer from b into C=Q/V and got ln(b/a)/(2$$\pi$$Epsilon not (a))


I am not sure if I did any of these right...

 

[ehild]

The Attempt at a Solution

a. I got as my answer E=Q/(2$$\pi$$Epsilon not (aL))
b. I used the integral with V and got Q/(2$$\pi$$Epsilon not (a) (ln(b/a))
c. I plugged my answer from b into C=Q/V and got ln(b/a)/(2$$\pi$$Epsilon not (a))


I am not sure if I did any of these right...

Is the electric field independent of position?

ehild