Engineering Resistors and circuit requirements

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To create a 5Ω and 10Ω resistor from 20Ω resistors, the student can use parallel configurations. For the 10Ω resistor, two 20Ω resistors in parallel will suffice, as they yield 10Ω. To achieve the 5Ω requirement, four 20Ω resistors in parallel are needed, resulting in 5Ω. Understanding the parallel resistor formula is essential for these calculations. This approach allows the student to meet the circuit requirements without purchasing new resistors.
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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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