Concept explainers
(a)
Find the value of electric field intensity E.
(a)
Answer to Problem 22P
The value of electric field intensity is
Explanation of Solution
Calculation:
The potential field is,
Consider the general expression for electric field intensity.
Find the electric field intensity.
Conclusion:
Thus, the value of electric field intensity is
(b)
Find the value of electric flux density D.
(b)
Answer to Problem 22P
The value of electric flux density is
Explanation of Solution
Calculation:
Consider the general expression for electric flux density.
Here,
Substitute
Substitute
Conclusion:
Thus, the value of electric flux density is
(c)
Find the value of polarization P.
(c)
Answer to Problem 22P
The value of polarization is
Explanation of Solution
Calculation:
Consider the general expression for polarization field.
Here,
E is the electric field intensity.
Consider the general relationship for electric susceptibility and relative permittivity.
Here,
Consider the general expression for permittivity.
Substitute
Substitute 5 for
Substitute 4 for
Conclusion:
Thus, the value of polarization is
(d)
Find the value of volume charge density
(d)
Answer to Problem 22P
The value of volume charge density is
Explanation of Solution
Calculation:
Consider the general expression for volume charge density.
Refer to Part (a),
Therefore,
Substitute
Substitute
Conclusion:
Thus, the value of volume charge density is
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Chapter 5 Solutions
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