Resistors and circuit requirements

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The discussion focuses on creating a 5Ω and 10Ω resistor using only 20Ω resistors. Participants confirm that it is possible to achieve the required resistance values by configuring the 20Ω resistors in parallel. Specifically, to obtain 10Ω, two 20Ω resistors must be connected in parallel, while to achieve 5Ω, four 20Ω resistors in parallel are necessary. This method effectively meets the circuit requirements without the need to purchase additional resistors.

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mppaki
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1. A student needs a 5Ω and 10Ω resistor for a circuit, but she only has a dozen 20Ω resistors. Does she need to buy new resistors or can she meet the circuits requirements with the resistors that she has? Explain (be specific!).

2. I honestly don't know any equation to use...



3. What I'm thinking is that the girl can make a circuit with 2 parallel circuits like this one in this picture below. And by finding the req for each one, one would be 5Ω and the other would be 10Ω

parallelresistor.jpg
 
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You are on the right track. It only remains to work out how you make each of the required resistors from 20 ohm values.

A Hint: For example if you put 2 x 100 ohms in parallel you get 50 ohms.

So how many 20 ohms in parallel would make 10 ohms? Once you get a handle on that idea, it should be a simple matter to work out to get 5 ohms (1/4 of 20).
 
alright thanks a lot overt26
 

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