
Concept explainers
A surface has the area vector

To find:
What is the flux of a uniform electric field through the area if the field
a.
b.
Answer to Problem 1Q
Solution:
the flux of a uniform electric field through the area if the field
Explanation of Solution
1) Concept
The electric flux through a surface is the amount of electric field that penetrates the surface. Electric flux through a given element with area vector
2) Formulae
Electric flux,
Where
A=Area of given surface
3) Given
Area vector,
Electric field vector in case a,
Electric field vector in case b,
4) Calculations
The electric flux through the given surface,
a. If
Plugging the values of
=
=
b. If
As dA does not have k components, the dot product of
Therefore,
Conclusion:
Electric flux through the given surface is found using the values of
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