A thin shelled hollow sphere of radius R has a uniform surface charge density σ. Fixed at its center is a point charge q. Use Gauss's law to find the electric field a distance r from the center (Give answers for r < R and r > R). Taking the electric potential V to vanish at infinity, find the electric potential as a function of r, the distance from the center (Give answers for r < R and r > R)

A thin shelled hollow sphere of radius R has a uniform surface charge density σ. Fixed at its center is a point charge q. Use Gauss's law to find the electric field a distance r from the center (Give answers for r < R and r > R). Taking the electric potential V to vanish at infinity, find the electric potential as a function of r, the distance from the center (Give answers for r < R and r > R)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter20: Electric Potential And Capacitance

Section: Chapter Questions

Problem 22P

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Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

A thin shelled hollow sphere of radius R has a uniform surface charge density σ. Fixed at its center is a point charge q.

Use Gauss's law to find the electric field a distance r from the center (Give answers for r < R and r > R).

Taking the electric potential V to vanish at infinity, find the electric potential as a function of r, the distance from the center (Give answers for r < R and r > R)

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Step 1: Determine the given variables

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Step 2: Determine the electric field at distance r <R from center

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Step 3: Determine the electric field at distance r>R from center

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Step 4: Determine the electric potential at distance r<R from center

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Step 5: Determine the electric potential at distance r>R from center

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