Transmission efficiency of a transmission line increases with the _______.

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  1. decrease in power factor and voltage
  2. increase in voltage only power factor remains constant
  3. increase in power factor and voltage
  4. increase in power factor but the decrease in voltage

Answer (Detailed Solution Below)

Option 3 : increase in power factor and voltage
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Detailed Solution

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Concept

The 3ϕ power flowing in an overhead transmission line is given by:

where, V= Line Voltage

IL = Line current 

cosϕ = Power factor

Explanation:

1.) Power Factor: A higher power factor means less reactive power in the system, leading to reduced losses in the transmission line and hence increased efficiency.

2.) Voltage:  Increasing the transmission voltage reduces the current for the same power level, which decreases the I²R losses (where I is the current and R is the resistance of the line). This also increases transmission efficiency.

3.) Current: Increasing the line current will increase the I²R losses, thus decreasing transmission efficiency.

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