Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
(b) Use Gauss's Law to calculate the magnitude of the electric field E(r) at a distance r

(b) Use Gauss's Law to calculate the magnitude of the electric field E(r) at a distance r

icon
Related questions
Question

Can someone please help with the following questions? I've attached the pictures below. I appreciate it! For the problem that asks about the meaning of of p0, I already have the answer for that, I just need help with part b. 

Consider a very long cylinder of radius R and length L, carrying a charge Q which is uniformly distributed throughout the whole volume of the cylinder. (a) Determine the magnitude of the electric field E(r) outside the cylinder, at a distance r > R from the axis of the cylinder. Your answer should only include the variables R, L, Q,r, and constants such as TT and ɛp. (b) Determine the magnitude of the electric field E(r) inside the cylinder, at a distance r <R from the axis of the cylinder. Your answer should only include the variables R, L, Q, r, and constants such as t and ɛo.
Transcribed Image Text:Consider a very long cylinder of radius R and length L, carrying a charge Q which is uniformly distributed throughout the whole volume of the cylinder. (a) Determine the magnitude of the electric field E(r) outside the cylinder, at a distance r > R from the axis of the cylinder. Your answer should only include the variables R, L, Q,r, and constants such as TT and ɛp. (b) Determine the magnitude of the electric field E(r) inside the cylinder, at a distance r <R from the axis of the cylinder. Your answer should only include the variables R, L, Q, r, and constants such as t and ɛo.
A solid sphere of radius R has a charge density given by p(r) = Po r/R. Here r is the distance from the center of the sphere, and po is a constant with units C/m3. (a) What is the physical meaning of po ? [ ]It's the charge density at the center of the sphere, i.e. at r = 0. [ ]It's the charge density on the surface of the sphere, i.e. at r = R. [ ]It's the average charge density of the sphere. [ ]The constant po has no physical meaning at all, it's just some constant. (b) Use Gauss's Law to calculate the magnitude of the electric field E (r) at a distance r < R from the center of the sphere. Your answer should only include the variables R, po, r, and constants such as Tt and ɛ0.
Transcribed Image Text:A solid sphere of radius R has a charge density given by p(r) = Po r/R. Here r is the distance from the center of the sphere, and po is a constant with units C/m3. (a) What is the physical meaning of po ? [ ]It's the charge density at the center of the sphere, i.e. at r = 0. [ ]It's the charge density on the surface of the sphere, i.e. at r = R. [ ]It's the average charge density of the sphere. [ ]The constant po has no physical meaning at all, it's just some constant. (b) Use Gauss's Law to calculate the magnitude of the electric field E (r) at a distance r < R from the center of the sphere. Your answer should only include the variables R, po, r, and constants such as Tt and ɛ0.
Expert Solution
Step 1

b. To calculate electric field from Gauss Law

From Gauss Law we have 

∮E.ds= Qenclosedε0where Qenclosed  is the charged enclosed in the  spherical shell of radius r and dr thickness.

 

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer