Concept explainers
a.
To Show:The net electric flux of the electric field out of the Gaussian surface is given by
The net electric flux of the electric field out of the Gaussian surface is given by
Given:
A small gaussian surface as shown
Formula Used:
The net flux is given by
Calculations:
The net flux is given by
Using Taylor series expansion
Neglecting the higher than first order
As the electric field is in the x direction
Substituting in equation 1
Conclusion:
The net electric flux of the electric field out of the Gaussian surface is given by
b.
Show that
Given:
A small gaussian surface as shown
Formula Used:
Gauss’s law:
Where, q is the charge enclosed
Calculations:
From part (a)
Equating the two equations
Conclusion:
b.
Show that
Given:
A small gaussian surface as shown
Formula Used:
Gauss’s law:
Where, q is the charge enclosed
Calculations:
From part (a)
Equating the two equations
Conclusion:
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Physics for Scientists and Engineers
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