Combining Resistors for 5W Dissipation in 10 Ohms

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Homework Help Overview

The problem involves combining resistors to achieve a specific resistance of 10 ohms while ensuring the total power dissipation is at least 5 watts. Participants are exploring the implications of combining multiple 1-watt resistors.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the configuration of resistors in series and parallel, questioning how to maintain the desired resistance while achieving the required power dissipation. There is confusion about how multiple resistors affect both resistance and power ratings.

Discussion Status

The discussion is active, with participants attempting calculations and sharing insights about resistor combinations. Some guidance has been provided regarding starting with a specific number of resistors and exploring configurations, but there is no explicit consensus on the final approach.

Contextual Notes

Participants express uncertainty about the relationship between resistance and power dissipation, indicating a need for clarification on these concepts as they relate to the problem.

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Homework Statement


You are given a number of 10 resistors, each capable of dissipating only 1.0 W without being
destroyed. What is the minimum number of such resistors that you need to combine in series or
in parallel to make a 10 resistor that is capable of dissipating at least 5.0 W?


Homework Equations





The Attempt at a Solution


I don't understand the problem. I can't see how the final resistance can be 10 if there is more than one resistor. But at the same time I don't get how the power can be 5 with just one..

Help please, we haven't really seen this in class.
 
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Start with 4 resistors. What is the resultant resistance of two parallel resistors each of resistance R? And what happens if you connect two such pairs in series?

ehild
 
OKay, so i got the resistance (I was doing wrong calculations) but I don;t get the power to be 5 but 4 W...
 
Try connecting more resistors. You need 5 at least.ehild
 
I got it now ! thank you :)
 

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