Average power dissipated in resistor

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Discussion Overview

The discussion revolves around calculating the average power dissipated in a 30 Ω resistor within a circuit involving a current source and mesh analysis. Participants explore various approaches to set up mesh equations and analyze the circuit behavior, focusing on the relationship between mesh currents and the power calculation.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant attempts to use mesh analysis but encounters difficulties with their equations and assumptions about the currents in the circuit.
  • Another participant suggests finding the RMS current through the resistor to calculate average power, noting the importance of distinguishing between peak and RMS values.
  • There is a discussion about the correct formulation of mesh equations, with participants questioning the contributions of different currents and components in the circuit.
  • Some participants express confusion over the roles of mesh currents and the dependent source, leading to multiple iterations of equations and substitutions.
  • One participant calculates a peak current and attempts to convert it to RMS, while others challenge the accuracy of their approach and the assumptions made about current flow through components.
  • Participants discuss the implications of using different variables and the need to ensure all components are accounted for in the mesh equations.
  • There is a back-and-forth regarding the correct application of mesh analysis and the treatment of the dependent source in relation to the mesh currents.
  • Eventually, a participant arrives at a power calculation, but there is still uncertainty about the correctness of their approach and the values used.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best approach to set up the mesh equations or the correct interpretation of the currents in the circuit. There are multiple competing views on how to handle the dependent source and the relationships between the mesh currents.

Contextual Notes

Participants express uncertainty regarding the correct application of mesh analysis, the treatment of dependent sources, and the conversion between peak and RMS values. There are unresolved issues related to the number of equations versus variables in the analysis.

  • #31
(j30)I = (210 - j70)
I = -2.333 - 7j
I = 7.3786 A
Arms = 5.2175 A
P = 816.66 W
 
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  • #32
Looks good.
 
  • #33
Jesus thank you. Two pages of trying to figure out a simple mesh . . . Ugh . . .But 817 W is correct! Try number 1, 80% total on the homework.
 

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