Concept explainers
Three particles and three Gaussian surfaces are shown in Figure P25.24. All the surfaces are three-dimensional. Use the net electric flux through each surface indicated on the figure to find the charge of each particle.
FIGURE P25.24
The charge on each particle.
Answer to Problem 24PQ
The charge on each particle are
Explanation of Solution
Write the expression for the total flux enclosed by the surface A.
Here,
Write the expression for the total flux enclosed by the surface B.
Here,
Write the expression for the total flux enclosed by the surface C.
Here,
Rearrange equation (I) to find
Substitute
Rearrange the above equation with charges on one side.
Rearrange equation (II).
Add equation (IV) and (V).
Rearrange the above equation to find the charge
Rearrange equation (II) to find
Rearrange equation (III) to find
Conclusion:
Substitute
Substitute
Substitute
Therefore, the charge on each particle are
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Chapter 25 Solutions
Physics For Scientists And Engineers: Foundations And Connections, Advance Edition, Volume 1
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