Resistors and Capacitors: Power Analysis

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Discussion Overview

The discussion revolves around the analysis of power delivered to a circuit containing a resistor and a capacitor, specifically focusing on how average power is dissipated in the resistor. Participants explore calculations related to a series circuit with a 1uF capacitor and a 1.0k resistor connected to a 110 volt (rms), 60Hz power line.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • The initial post presents a homework statement asking to compute the average power delivered to the resistor using the formula V(R)^2/R.
  • The poster provides calculations for both the resistor and the capacitor, including links to images of their work.
  • One participant confirms that the original poster has answered the question, noting that the thoroughness may be excessive but acknowledges that ideal reactive components do not dissipate power.

Areas of Agreement / Disagreement

Participants generally agree that the original poster has addressed the homework question, but there is no consensus on the necessity of the level of detail provided in the calculations.

Contextual Notes

The discussion does not clarify any assumptions made in the calculations or the implications of the ideal conditions for reactive components.

Duave
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Homework Statement



Show that all the average power delivered to the the circuit winds up in the resistor.

Do this by computing the value of V(R)^2/R.

What is that power, in watts, for a series circuit of a 1uF capacitor and a 1.0k resistor placed across the 110 volt (rms). 60Hz power line.

https://scontent-a.xx.fbcdn.net/hphotos-ash3/t1/1926844_10151902720925919_1961101404_n.jpg

Homework Equations



https://scontent-b.xx.fbcdn.net/hphotos-ash3/t1/1890987_10151902707040919_689747961_n.jpg

The Attempt at a Solution



Calculations For Resistor

https://scontent-b.xx.fbcdn.net/hphotos-prn1/t1/1623694_10151902710165919_1745815375_n.jpg

Calculations For Capacitor

https://scontent-b.xx.fbcdn.net/hphotos-frc3/t1/1957990_10151902713435919_1723501453_n.jpg

Final answers collected from calculations

https://fbcdn-sphotos-g-a.akamaihd.net/hphotos-ak-prn1/t1/1001271_10151902714820919_907733337_n.jpg
 
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Did I answer ALL of the questions with everything that I wrote?
 
You have answered the question.
It seems a tad overdone to me but that could just mean you have been thorough.
However - you have just seen that ideal reactive components dissipate no power.
Well done.
 
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Simon Bridge said:
You have answered the question.
It seems a tad overdone to me but that could just mean you have been thorough.
However - you have just seen that ideal reactive components dissipate no power.
Well done.

Simon,


Thank you very very much

Best Regards,
Duave
 

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