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Problem 17 Medium Difficulty

(a) You need a $45-\Omega$ resistor, but the stockroom has only $20.\Omega$ and $50 . \Omega$ resistors. How can the desired resistance be achieved under these circumstances? (b) What can you do if you need a $35-\Omega$ resistor?

Answer

{ a) } a_{0} \frac{2 \pi 2}{n^{2}}} \\ {\qquad \begin{array}{c}{b_{0}} \\ {50 / 150=25 \Omega} \\ {25+20=45 \Omega=R_{e q}}\end{array}}\end{array}
{ b) } 20 \Omega} \\ {\text { a } 0 \text { ma }} \\ {\text { Re } \rightarrow 20 \Omega \text { \&son }\{50 \Omega} \\ {\text { b. } 1 / 20=10 \Omega} \\ {\text { 50/150 = } 25 \Omega=R_{\text {eq }}} \\ {25+10=35 \Omega=R_{\text {eq }}}\end{array}

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Video Transcript

In the first part of this problem, we are asked to construct a resistor off resistance 45 home from the given set off resistance that is R E equals 2 45 Let are one equals to 20 or and are two equals 2 45 Let's combine to our tools in battle combination so that one divided by Ari one equals to wonder what it by our two plus one divided by two. Now setting the values off this are doing to this equation, we will get one divided by Ari one equals to one divided by 51 plus one divided by 15. Remember that these are two is not 45. It is. It will end too 50 old. I'm sorry for this mistake. No schooling this equation for everyone. We will get Body one equals to 25. Let's combine. These are the one with this are one in serious combination so that r equals to ari one plus our one more setting the values into this equation r equals to 25 home plus 20 or which is close to ar e equals two 45. No, the circuit diagram will be just like So this will be our one. And these tourists will be our two. In part b of this question, we have to construct a resistor off resistance 35. I did. He should be called 2 35 Solar stick to are ones in parallel combination when you wanted. By adding one equals to one. Divide it by one plus one divided by one more setting. The weather's into this equation we will get. I wonder what it by 21 plus one to worry about. 20 0 now what's holding this? Quinn? For everyone. We even get rd one equals two. I don't know no for our tools we can right one by ari two equals to one by our two plus one by our two. Now sitting the values into this equation we have are you two really equals to 25. No combining the sorry one and Ari to in Siri's we will get ar e equals to rd one plus honey too. Setting the world is off. These two will use. We will get our vehicles too. 35. Well, the circuit diagram will be like So this is our one. This is one and these two are tools are in balance. So end of the bush in

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Top Physics 102 Electricity and Magnetism Educators
Elyse G.

Cornell University

Christina K.

Rutgers, The State University of New Jersey

LB
Liev B.

Numerade Educator

Zachary M.

Hope College

Physics 102 Electricity and Magnetism Bootcamp

Lectures

Join Bootcamp