Difficulty: Medium
Correct Answer: Both A and R are correct but R is not correct explanation of A
Explanation:
Introduction / Context:
Distributed-parameter lines exhibit frequency-dependent reactance and resistance. This item tests understanding of how inductive reactance and skin-effect resistance scale with frequency and whether one explains the other.
Given Data / Assumptions:
Concept / Approach:
At high frequencies, X_L commonly exceeds R_ac, so the line is more inductive than resistive. Skin effect makes R_ac > R_dc, but that fact does not cause X_L to be large; rather, X_L is large because ω is large. Thus A is true, R is true, but R does not explain A.
Step-by-Step Solution:
Verification / Alternative check:
Measurements on coax or twin-lead at RF show reactance dominating series resistance in many bands, despite rising R_ac.
Why Other Options Are Wrong:
Option A: Incorrect causal link. Option C/D/E conflict with correctness of A and R.
Common Pitfalls:
Attributing frequency behavior of reactance to resistive mechanisms; ignoring that both R_ac and X_L increase with frequency but for different physical reasons.
Final Answer:
Both A and R are correct but R is not correct explanation of A
Discussion & Comments