How Does Power Dissipation in One Resistor Relate to Total Power from Batteries?

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SUMMARY

The discussion focuses on the relationship between power dissipation in individual resistors and the total power supplied by batteries in a circuit with multiple resistors. It is established that changes in supply voltage affect the voltage across and current through each resistor proportionally, adhering to Ohm's Law. The participants confirm that analyzing a single resistor can simplify understanding the overall power dynamics in the circuit. This principle is critical for solving circuit-related problems effectively.

PREREQUISITES
  • Understanding of Ohm's Law (V = IR)
  • Basic knowledge of electrical circuits and resistors
  • Familiarity with power calculations (P = VI)
  • Concept of series and parallel resistor configurations
NEXT STEPS
  • Study the implications of Ohm's Law in complex circuits
  • Learn about power distribution in series and parallel circuits
  • Explore Kirchhoff's laws for circuit analysis
  • Investigate the effects of varying supply voltage on circuit behavior
USEFUL FOR

Students studying electrical engineering, educators teaching circuit theory, and hobbyists building electronic circuits who seek to understand power relationships in resistor networks.

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Homework Statement



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Homework Equations

The Attempt at a Solution


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The first and foremost thing which I do not understand in this question is that there are many resistors present in the circuit , so how is it that we could relate power dissipated in one resistor to the power supplied by the batteries ??

But if I assume only one resistor , then I do get option a) .

Thanks
 

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Vibhor said:
But if I assume only one resistor , then I do get option a) .
That's correct.
Vibhor said:
The first and foremost thing which I do not understand in this question is that there are many resistors present in the circuit , so how is it that we could relate power dissipated in one resistor to the power supplied by the batteries ??
When you make changes in the supply voltage, voltage across and current through each resistor in the network change proportionally. This is because resistors follow linear relation between V and I i.e. Ohm's law, irrespective of their configuration.
 

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