How Much Power Is Lost Due to Resistive Heating in a High-Voltage Line?

Click For Summary
SUMMARY

The discussion focuses on calculating power loss due to resistive heating in a high-voltage line from a 750-MW power plant operating at 475,000 V with a total resistance of 0.65 Ω. The key formula used is P(loss) = I²R, where I is the current calculated using P = VI. The participant successfully derived the power loss after determining the current, confirming the effectiveness of the approach.

PREREQUISITES
  • Understanding of electrical power formulas, specifically P = VI and P(loss) = I²R.
  • Basic knowledge of Ohm's Law (V = IR).
  • Familiarity with high-voltage power transmission concepts.
  • Ability to perform calculations involving power, voltage, and resistance.
NEXT STEPS
  • Study the implications of resistive heating in power transmission systems.
  • Learn about high-voltage line design and efficiency optimization techniques.
  • Explore advanced electrical engineering concepts related to power loss calculations.
  • Investigate the impact of resistance on overall energy efficiency in power plants.
USEFUL FOR

Electrical engineers, power system analysts, and students studying electrical engineering who are interested in power loss calculations and high-voltage transmission efficiency.

plexxity
Messages
6
Reaction score
0

Homework Statement


A 750-MW power plant sends its power out on a 475,000 V high-voltage line. If the total resistance of the line is 0.65 Ω, what percentage of the power is lost due to resistive heating?


Homework Equations


i have NO idea but maybe...

P(loss)=I²R

P(loss)=^v²/R

P=V(V/R)

P=VI

V=IR

P=E/t


The Attempt at a Solution



Guess i don't know where to start
 
Physics news on Phys.org
Use P=VI to find I.
 
thanks i found I then i was able to get the Ploss=I^2(R)

got the answer Thanks!
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 20 ·
Replies
20
Views
12K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 14 ·
Replies
14
Views
4K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
6
Views
2K