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Cylindrical Capacitors Questions

  • #1

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=[tex]\int[/tex]E dL
[tex]\oint[/tex]E dA=Q/Epsilon
C=Q/V

The Attempt at a Solution


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


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

Answers and Replies

  • #2
ehild
Homework Helper
15,476
1,854

The Attempt at a Solution


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


I am not sure if I did any of these right...
Is the electric field independent of position?

ehild
 

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