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A conducting solid sphere of radius a, carrying a charge +Q is surrounded by a thin conducting spherical shell (inner radius b) with charge -Q. (a) What is the direction and magnitude of the electric field E in the three regions below. Show how you obtain your expressions.i. r < a ii. a b (b) What is the electric potential V(r) in these same three regions. Take the electric potential to be zero at infinity. (c) What is the electric potential difference between the outer shell and the inner sphere, AV=V(b) -V(a)? (d) What is the capacitance of this spherical capacitor? (e) If a negative charge -3Q is placed anywhere on the inner sphere of radius a, what charge appears on the outside surface of the thin spherical shell of inner radius b?

A conducting solid sphere of radius a, carrying a charge +Q is surrounded by a thin conducting spherical shell (inner radius b) with charge -Q. (a) What is the direction and magnitude of the electric field E in the three regions below. Show how you obtain your expressions.i. r < a ii. a b (b) What is the electric potential V(r) in these same three regions. Take the electric potential to be zero at infinity. (c) What is the electric potential difference between the outer shell and the inner sphere, AV=V(b) -V(a)? (d) What is the capacitance of this spherical capacitor? (e) If a negative charge -3Q is placed anywhere on the inner sphere of radius a, what charge appears on the outside surface of the thin spherical shell of inner radius b?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A conducting solid sphere of radius a, carrying a charge +Q is surrounded by a thin conducting spherical shell (inner radius b) with charge -Q. (a) What is the direction and magnitude of the electric field E in the three regions below. Show how you obtain your expressions.i. r < a ii. a<r<b ii. r> b (b) What is the electric potential V(r) in these same three regions. Take the electric potential to be zero at infinity. (c) What is the electric potential difference between the outer shell and the inner sphere, AV=V(b) -V(a)? (d) What is the capacitance of this spherical capacitor? (e) If a negative charge -3Q is placed anywhere on the inner sphere of radius a, what charge appears on the outside surface of the thin spherical shell of inner radius b? a
Transcribed Image Text:A conducting solid sphere of radius a, carrying a charge +Q is surrounded by a thin conducting spherical shell (inner radius b) with charge -Q. (a) What is the direction and magnitude of the electric field E in the three regions below. Show how you obtain your expressions.i. r < a ii. a<r<b ii. r> b (b) What is the electric potential V(r) in these same three regions. Take the electric potential to be zero at infinity. (c) What is the electric potential difference between the outer shell and the inner sphere, AV=V(b) -V(a)? (d) What is the capacitance of this spherical capacitor? (e) If a negative charge -3Q is placed anywhere on the inner sphere of radius a, what charge appears on the outside surface of the thin spherical shell of inner radius b? a
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