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Subject: Ideal Conductors and Capacitors A conducting sphere of radius a, at potential V0, is surrounded by a thin concentric spherical  shell of radius b, over which there is a surface charge given by σ(θ) = k cos θ, where k is  a constant. a. Show that the electric potential everywhere can be written as (look at picture) b. Use the result from (a) to determine the induced surface charge density  and the total charge of the system. At what location(s) is the charge density  maximized or minimized?

Subject: Ideal Conductors and Capacitors A conducting sphere of radius a, at potential V0, is surrounded by a thin concentric spherical  shell of radius b, over which there is a surface charge given by σ(θ) = k cos θ, where k is  a constant. a. Show that the electric potential everywhere can be written as (look at picture) b. Use the result from (a) to determine the induced surface charge density  and the total charge of the system. At what location(s) is the charge density  maximized or minimized?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Subject: Ideal Conductors and Capacitors

A conducting sphere of radius a, at potential V0, is surrounded by a thin concentric spherical 
shell of radius b, over which there is a surface charge given by σ(θ) = k cos θ, where k is 
a constant.
a. Show that the electric potential everywhere can be written as (look at picture)

b. Use the result from (a) to determine the induced surface charge density 
and the total charge of the system. At what location(s) is the charge density 
maximized or minimized?

V = avo = { r avo r + + k (r3a³1 - 7-2 3€0 k (b³a³ 3€Q r2 cos 0, cos 0, r <a a<r<b r≥b
Transcribed Image Text:V = avo = { r avo r + + k (r3a³1 - 7-2 3€0 k (b³a³ 3€Q r2 cos 0, cos 0, r <a a<r<b r≥b
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