Resistors and Capacitors: Power Analysis

  • Thread starter Thread starter Duave
  • Start date Start date
  • Tags Tags
    Power Resistors
AI Thread Summary
The discussion focuses on demonstrating that all average power in a circuit with a resistor and capacitor is dissipated in the resistor. Participants calculated the power using the formula V(R)^2/R, specifically for a series circuit with a 1uF capacitor and a 1.0k resistor across a 110V (rms) 60Hz power line. The calculations confirmed that ideal reactive components, like capacitors, do not dissipate power. The thoroughness of the calculations was acknowledged, reinforcing the conclusion that only the resistor accounts for power dissipation in this setup. The discussion effectively highlights the relationship between resistors and capacitors in power analysis.
Duave
Messages
81
Reaction score
0

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
 
Physics news on Phys.org
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.
 
  • Like
Likes 1 person
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
 
Back
Top