College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Question
Use Gauss’s law to find the electric field inside a uniformly charged solid sphere (charge density ρ).
Expert Solution
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Step 1: Defination
The total electric flux (Φ) through a closed surface surrounding an electric charge "q" is equal to "q" divided by the vacuum permittivity (ε₀):
Φ = (q / ε₀)
In this simplified form, it states that the electric flux through a closed surface is directly proportional to the enclosed electric charge and inversely proportional to the vacuum permittivity.
Electric flux (Φ) in terms of the electric field (E) can be defined as follows:
Φ = ∫E · dA
So
∫E · dA= (q / ε₀)
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