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T/F: X/R ratio, transmission vs distribution

Short answer

True. Transmission lines have large phase spacing and low resistance, giving dominant reactance with X/R ratios of 5–20. Distribution lines use small conductors with close spacing, making resistance significant, so X/R is low (0.5–2).

State whether the following statement is TRUE or FALSE. Justify your answer with a brief explanation: The X/R ratio is high for transmission line while low for distribution lines.

TRUE.

  • Transmission lines use large conductors (low resistance per km) and large phase spacing (higher inductance), so X≫RX \gg R. Typical X/RX/R is about 5–10 for 132–220 kV lines and 10–20 or more for EHV lines with bundled conductors.
  • Distribution lines (11 kV, 400 V) use small conductors with close spacing, so RR is comparable to or larger than XX; X/RX/R is about 0.5–2.

Consequences: in transmission lines voltage drop depends mainly on reactive power (ΔV≈QX/V\Delta V \approx QX/V) and power flow on angle, while in distribution feeders voltage drop depends strongly on real power (ΔV≈(PR+QX)/V\Delta V \approx (PR+QX)/V), and I2RI^2R loss is a major concern.

✓ Answer checked by Claude Opus 5.5 (high effort)

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