7) A thick spherical shell, of inner radius r, and outer radius r, is made of conducting material. A charge +Q is placed at the centre of the conducting shell. a) Drawa sketch of the distribution of charge in the conductor and the electric field lines. b) Use Gauss' Law to find expressions for the electric field for 0

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter19: Electric Forces And Electric Fields
Section: Chapter Questions
Problem 12CQ
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7) A thick spherical shell, of inner radius r, and outer radius r, is made of conducting material. A
charge +Q is placed at the centre of the conducting shell.
a) Drawa sketch of the distribution of charge in the conductor and the electric field lines.
b) Use Gauss' Law to find expressions for the electric field for 0<r< 2r, and sketch a graph
of the magnitude of the electric field as a function of the radius for 0 <r < 2r,.
c) Sketch the electric potential as a function of the radius for 0 <r< 2r, assuming that the
potential is 0 for r = 00.
d) Now assume that the charge in the centre of the sphere is removed but the conducting
spherical shell carries a charge +Q. Add to your sketches for b) and c) the field and potential
for this arrangement.
Transcribed Image Text:7) A thick spherical shell, of inner radius r, and outer radius r, is made of conducting material. A charge +Q is placed at the centre of the conducting shell. a) Drawa sketch of the distribution of charge in the conductor and the electric field lines. b) Use Gauss' Law to find expressions for the electric field for 0<r< 2r, and sketch a graph of the magnitude of the electric field as a function of the radius for 0 <r < 2r,. c) Sketch the electric potential as a function of the radius for 0 <r< 2r, assuming that the potential is 0 for r = 00. d) Now assume that the charge in the centre of the sphere is removed but the conducting spherical shell carries a charge +Q. Add to your sketches for b) and c) the field and potential for this arrangement.
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