Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

urgent solution required An infinitely long, solid insulating cylinder with radius Ra is placed concentric within a conducting cylindrical shell of inner radius Ry and

urgent solution required

image text in transcribed
An infinitely long, solid insulating cylinder with radius Ra is placed concentric within a conducting cylindrical shell of inner radius Ry and outer radius Rc. The inner cylinder has a uniform volume charge density +|pl, and the outer cylinder has a net linear charge density of - 3|1|. Assume IpnRal > |31| for all parts. a Sketch the scenario, indicating how much charge is in each region / surface. What are the charge densities on the inner and outer surfaces of the conducting cylinder? Part a. may be made easier by providing your answer in terms A' = pIRa (the 'linear charge density' of the inner cylinder), instead of p. b. calculating the electric field using Gauss' Law. Let r denote the radial distance from the center of the insulating cylinder. To solve Gauss' law in all space, there are four (4) regions to consider. The result for the electric field E(r) in regions I- Ill are given below E,(r ) = 7 r Rc. I claim Er (r) is Elv(r) = - PRa 31 Make a statement on the term in parenthesis in Er(r). C. What is the electric potential difference between the inner surface of the conducting cylinder and the outer surface of the insulating cylinder (in region II)? Hint: See the result from part b for En( r). I claim AVab is AVab = V(Rb) - V(Ra) = -PRa log (RD) Explicitly point out in each step which terms in the derivation contribute negative signs

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Optical Properties Of Materials And Their Applications

Authors: Jai Singh, Peter Capper

2nd Edition

1119506050, 9781119506058

More Books

Students also viewed these Physics questions

Question

A scissors lift can be used to adjust the height of a platform. L M

Answered: 1 week ago