Electric Circuit: Path of Least Resistance

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SUMMARY

The discussion centers on the behavior of electric circuits, specifically regarding the path of least resistance when a switch is closed. When the switch is closed, current flows primarily through the closed switch, rendering the resistor between the cells effectively unused. The power dissipated by resistor X can be calculated using the equations p=IV, p=I^2R, and V=IR. Understanding these principles is crucial for analyzing circuit behavior in practical applications.

PREREQUISITES
  • Basic understanding of electric circuits and components
  • Familiarity with Ohm's Law (V=IR)
  • Knowledge of power calculations in electrical systems
  • Experience with series and parallel circuit configurations
NEXT STEPS
  • Study the implications of closing switches in series circuits
  • Learn about power dissipation in resistors using p=I^2R
  • Explore the concept of equivalent resistance in series and parallel circuits
  • Investigate practical applications of circuit analysis in electronics
USEFUL FOR

This discussion is beneficial for electrical engineering students, hobbyists working on circuit projects, and educators teaching fundamental concepts of electricity and circuit analysis.

adz7861
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Homework Statement
The power dissipated by resistor X when the switch is closed
Relevant Equations
p=IV
p=I^2R
V=IR
Capture2.JPG

I figured that when you close the switch the current from the upper cell will travel through the closed switch due to it being the path of least resistance, essentially the resistor between cells is unused (was my first thought). I'm not entirely sure how to progress with this question.
 
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adz7861 said:
Homework Statement:: The power dissipated by resistor X when the switch is closed
Relevant Equations:: p=IV
p=I^2R
V=IR

essentially the resistor between cells is unused
Despite the cell in series with it?
 

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