Difficulty: Easy
Correct Answer: 1.25
Explanation:
Introduction:
Microwave crystal detectors are commonly used in labs for relative power measurements (for example, in slotted-line or coupler setups). Their input match affects measurement accuracy; thus the typical standing wave ratio (VSWR) at the detector port is specified and controlled to keep mismatch ripple and calibration errors small.
Given Data / Assumptions:
Concept / Approach:
VSWR represents the degree of mismatch: VSWR = (1 + |Γ|) / (1 − |Γ|). Practical lab detectors are designed to keep reflections modest; a commonly quoted value around 1.25:1 corresponds to |Γ| ≈ 0.111, which is sufficiently low to reduce standing-wave errors while remaining achievable without overly complex matching networks over a useful bandwidth.
Step-by-Step Solution:
Verification / Alternative check:
Datasheets for laboratory crystal detectors (waveguide or coax) commonly list VSWR values between 1.2 and 1.5 across band; 1.25 is a representative nominal figure balancing bandwidth and match complexity.
Why Other Options Are Wrong:
VSWR = 0.1 is impossible (minimum is 1). VSWR values of 5 or 10 are far too mismatched for lab measurement accuracy. 2.5 is higher than desirable and would produce large ripple in standing-wave systems and poor repeatability.
Common Pitfalls:
Confusing return loss (in dB) with VSWR; forgetting that good but not perfect matches are typical for broadband detector heads and that adapters and connectors also contribute to the overall VSWR seen by the system.
Final Answer:
1.25.
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