
	Home


	Homework Help


	Answer Board


	Resources (Beta)

You Are Here:

Home > Answer Board > Physics > Topic: electric field cylindrical conductor--will rate!!!

Member's Topic Headline:

electric field cylindrical conductor--will rate!!!

Know the answer? Have a better solution? Share it.

Join the thousands of students
getting ahead in their classes.

Question:

Cramster Expert

dhara

(Cramster SME)

Cramster In-House Subject Matter Expert

Date Posted: 7/25/2008 12:28:52 AM Status: Live

Asker's Rating: Lifesaver

Response:

Consider an infinite circular cylinder of radius R.Let the charge is distributed uniformly along the cylinder and ρ is the charge per unit volume.

Case (i)When P lies inside the cylinder.

This is shown in the following figure :

So the electric flux due to entire Gaussian surface is given by

φ_E = E(2πrl)

charge = πr²l * ρ

According to Gauss,s law

E = (rρ/2ε_o)

Let λ be the charge per unit length of the cylinder,then

E = (λr/2πε_oR²)

case(ii)When P lies outside the cylinder

This is shown in the following figure :

The total flux through the Gaussian surface is given by

φ_E = E.ds

= E(2πrl)

According to Gauss's law

E(2πrl) = (1ε_o) * (πR²lρ)

or E = [(R² * ρ)/(2ε_or)]

The expression in terms of charge per unit length λ of cylinder

ρ = (λ/πR²)

and E = (λ/2πε_or).

By reading or posting messages on these forums, you are agreeing to the Answer Board's Terms of Service and Conduct (TSC).