Concept explainers
Given a 2.0-cm length of AWG20 copper wire, (a) calculate RdC, (b) calculate Rac at 800 MHz, (c) estimate L.
(a)
The DC resistance
Answer to Problem 9.1P
The DC resistance
Explanation of Solution
Given:
The length of a
Concept used:
The expression for DC resistance is shown below.
Calculation:
The diameter of
The radius of
The conductivity of copper is
Substitute
Therefore, the DC resistance is
Conclusion:
Thus, the DC resistance
(b)
The AC resistance at
Answer to Problem 9.1P
The AC resistance at
Explanation of Solution
Concept used:
The expression for Ac resistance is shown below.
Calculation:
The skin depth for the copper wire is calculated as,
Substitute
Substitute
Therefore, the AC resistance is
Conclusion:
Thus, the AC resistance at
(c)
The external inductance for copper wire.
Answer to Problem 9.1P
The external inductance for copper wire is
Explanation of Solution
Concept used:
The expression for external inductance for wire segment is shown below.
Calculation:
Substitute
Therefore, the inductance is
Conclusion:
Thus, the external inductance for copper wire is
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Chapter 9 Solutions
Fundamentals of Electromagnetics with Engineering Applications
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