Concept explainers
A length d of the charge lies on the Z-axis infree space. The charge density on the line is
where P0 is a possitive constant. (a) Find the electric field intensity E everywhere in the xy plane, expressing your result as a function of cylindrical radius p, (b) simplify your part a result for the case in radius pd, and express this result in terms of charge q=p0d/2.
(a)
The electric field intensity in x-y plane, as a function of cylindrical radius
Answer to Problem 2.17P
The required electric field intensity is:
Explanation of Solution
Given Information:
The line charge density is given as,
Calculation:
Let
So, the electric field intensity:
So, in cylindrical coordinates,
Conclusion:
The required electric field intensity is:
(b)
The electric field intensity in x-y plane for
Answer to Problem 2.17P
The required electric field intensity is,
Explanation of Solution
Given Information:
The line charge density is given as,
Calculation:
The electric field intensity,
Conclusion:
The required electric field intensity is,
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Chapter 2 Solutions
Engineering Electromagnetics
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