Calculating Power Loss from Voltage Change at 3 Ohms Resistance

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SUMMARY

The discussion focuses on calculating power loss due to voltage change across a resistance of 3 ohms when delivering 520 kW of power. By applying the formula for power loss, P = I²R, the current at 12,000V is first determined, followed by the calculation of power wasted. The current at 50,000V is then calculated, revealing a significant reduction in power loss. The difference in wasted power between the two voltage levels is the key conclusion.

PREREQUISITES
  • Understanding of electrical power formulas, specifically P = IV and P = I²R.
  • Knowledge of Ohm's Law and its application in electrical circuits.
  • Familiarity with basic electrical concepts such as voltage, current, and resistance.
  • Ability to perform calculations involving power, voltage, and resistance.
NEXT STEPS
  • Calculate power loss in electrical systems using different resistances.
  • Explore the impact of voltage levels on power efficiency in transmission lines.
  • Learn about the advantages of high-voltage transmission in reducing energy loss.
  • Investigate the role of transformers in adjusting voltage levels for efficient power delivery.
USEFUL FOR

Electrical engineers, physics students, and anyone involved in power distribution and efficiency optimization will benefit from this discussion.

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Homework Statement


a power station delivers 520kW of power to a factory through wires of total resistance of 3 ohms ,how much less power is wasted if the electricity is deliverd at 50,000V rather than 12,000V


Homework Equations


P=IV=I^R =V^/R


The Attempt at a Solution



I tried to use voltage and resistance to calculate power and compare that with 520kW ,but it did not make any sense.Please help me.
 
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Determine the current flowing at 12000 V and 520 kW. Power wasted I^2R. Next determine the current at 50000 V and 520 kW (it will be much less than earlier). Determine power wasted. Find the difference.
 
Thanks a lot .
 

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