The efficiency of a transmission line is _________.

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  1. increased with decrease in load p.f
  2. increased with increase in load p.f.
  3. decreased with increase in load p.f. 
  4. independent of load p.f.

Answer (Detailed Solution Below)

Option 2 : increased with increase in load p.f.
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Efficiency of a Transmission Line:

The efficiency of a transmission line is defined as the ratio of the power delivered to the load to the power sent from the source. Mathematically, it can be expressed as:

Efficiency (η) = (Pload / Psource) × 100%

Where,

  • Pload = Power delivered to the load
  • Psource = Power sent from the source
     

Power factor (p.f.) is a measure of how effectively the electrical power is being used. It is the cosine of the phase angle (ϕ) between the voltage and the current in an AC circuit. A higher power factor indicates more efficient use of electrical power.

  • When the load power factor is high (close to 1), more of the power sent from the source is effectively used by the load, reducing losses in the transmission line.
  • This increases the efficiency of the transmission line. Conversely, a lower power factor means more power is lost in the form of reactive power, which decreases the efficiency of the transmission line.
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