Question

by using gauss's law calculate the capacitance of cylindrical capacitor​

Answer 1

Answer:

Hi

Explanation:

concept

A cylindrical capacitor consists of a hollow or a solid cylindrical conductor surrounded by another concentric hollow spherical cylinder. The capacitance of a cylindrical capacitor can be derived as:

By Gauss law charge enclosed by gaussian cylinder of radius r and length L is

q=ϵ

o

EA

q=ϵ

o

E(2πrL)

∴E=

2πϵ

o

rL

q

V=−∫Edr

V=

2πϵ

o

L

−q

∫

R

2

R

1

r

dr

V=

2πϵ

o

L

q

ln

r

1

r

2

But C=

V

q

C=

ln(R

2

/R

1

)

2πϵ

0

L

I hope it helps you ☺☺

Answer 2

Answer:

cylindrical capacitor with length l will inner radius a and outer radius b filled b filled by dielectric with relative permittivity εr has a capacity C. C=ln(b/a)2πεl.

Explanation:

I hope it helps you

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