Engineering [Circuits] Calculating the power absorbed by a resistor

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SUMMARY

The discussion focuses on calculating the power absorbed by resistors in a circuit, specifically addressing the 3S resistor. The calculations provided by the user initially included an incorrect current value of 16 A, leading to confusion. The correct approach involves using the formula P = VI, with the voltage calculated as V = 2 V and the current as I = 6 A, resulting in a power absorption of P = 12 W for the 3S resistor. The conversation emphasizes the importance of verifying values and understanding multiple formulas for power calculation.

PREREQUISITES
  • Understanding of Ohm's Law (V = IR)
  • Familiarity with power formulas (P = VI, P = V²/R, P = I²R)
  • Basic circuit analysis skills
  • Knowledge of series resistor configurations
NEXT STEPS
  • Study the application of Ohm's Law in circuit analysis
  • Learn about power calculations in series and parallel circuits
  • Explore resistor color coding and its implications for resistance values
  • Investigate common mistakes in electrical calculations and how to avoid them
USEFUL FOR

Students studying electrical engineering, circuit designers, and anyone looking to deepen their understanding of power calculations in resistive circuits.

ainster31
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Homework Statement



yAw0XtS.png


Homework Equations





The Attempt at a Solution



Attached to this post.

I have calculated the power absorbed for the 6S and 5S resistors but not the 3S resistor.
 

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ainster31 said:

Homework Statement



yAw0XtS.png


Homework Equations





The Attempt at a Solution



Attached to this post.

I have calculated the power absorbed for the 6S and 5S resistors but not the 3S resistor.

Your values look okay for the 6S and 5S resistors. Why didn't you calculate the power absorbed by the 3S resistor?
 
gneill said:
Your values look okay for the 6S and 5S resistors. Why didn't you calculate the power absorbed by the 3S resistor?

Here is my attempt for the 3S resistor:

$$R=\frac { V }{ I } \\ \frac { 1 }{ 3 } =\frac { V }{ 6 } \\ V=2\quad V\\ \\ P=VI\\ P=2\cdot 16\\ P=32\quad W$$
 
ainster31 said:
Here is my attempt for the 3S resistor:

$$R=\frac { V }{ I } \\ \frac { 1 }{ 3 } =\frac { V }{ 6 } \\ V=2\quad V\\ \\ P=VI\\ P=2\cdot 16\\ P=32\quad W$$

Where did you get 16 A from for your P = VI calculation? You used I = 6 A in the second line.

Note that while power is indeed given by P = VI, for a resistor it's also given by V2/R and I2R, so you can avoid some steps if you already have either V or I.
 
So P=12W?
 
ainster31 said:
So P=12W?

Is that a guess or a conclusion?
 
Conclusion.

I used 16 A by accident. Not sure where I got the 1 from.
 
Okay, so it looks like you're done :approve:
 
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IMG_1516.jpg

You got right.
 

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