Engineering [Circuits] Calculating the power absorbed by a resistor

AI Thread Summary
The discussion focuses on calculating the power absorbed by resistors in a circuit, specifically addressing the 3S resistor after successfully calculating for the 6S and 5S resistors. The initial calculations for the 3S resistor were incorrect due to a miscalculation of current, where 16 A was mistakenly used. Participants clarified that power can also be calculated using the formulas P = V²/R and P = I²R, which can simplify the process. Ultimately, the correct power absorbed by the 3S resistor was concluded to be 12 W after resolving the confusion. The thread emphasizes the importance of accuracy in calculations and understanding different power formulas.
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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