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Problem 13 Medium Difficulty

The resistance between terminals $a$ and $b$ in Figure P 18.13 is 75 $\Omega$ . If the resistors labeled $R$ have the same value, determine $R$ .

Answer

R=55 \text {ohms}

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Video Transcript

in this problem, we have to kill Claire. The unknown resistance, that is, uh, in order to kill Claire. This are we have to find out the equal in resistance. So let's name the resistance of the resistance from left to right. Ears are one. Two are in a tree we see that are in our tree are in serious combination. So we right, Ari prime equals two are plus our three No sitting the well, your for three. Into this equation, we get Ari Prime Michel's to our plus five home. Their school it equation. One is Ari prime are one, and our two are in peril Combination. So we right one by r e double prime equals to one by our one plus one by our two plus one by r e. Crime More sending the whales into this equation. We get won by our edible prime nickels to Wendy wanted by 1 20 or class when you were in my 40.0 plus one. Divided by our plus five four No soul in this quaint for a readable prime We will get readable. Prime equals 2 30 home into our plus five home The wanted by our plus 35 home. Let's call it equation, too. Now these are edible. Primary are is in serious combination so we can write ar e equals two are plus charitable prime. Now setting the Wellies into this equation, we will get 75 from equals. Two are plus 30 home into on plus five phone you wanted by our plus 35. We can write this in the form off standard quadratic equation as our square minus 10 on our minus 2475 homes square, he calls to zero their schooling equation three here a equals to one, which is the caution off or square and vehicles to minus to know which is the question of the Czar sequel to minus 2475 on square. No listen I d formula for quadratic equation solution articles to minus B plus minus square Toby Square minus forest. He wanted, by the way, not scolded equation. For now, let's write the wells for B and a C into this question articles to minus into minus tan. A plus minus squared off, you know, Old Square minus four into one into 2475 homes square he wanted by two into one. Doing some sort off automatics. We will get R equals 2 55 Please know that I have known mentioned the UN physical solution here. Thank you.

Other Schools
Top Physics 102 Electricity and Magnetism Educators
Elyse G.

Cornell University

LB
Liev B.

Numerade Educator

Marshall S.

University of Washington

Farnaz M.

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Physics 102 Electricity and Magnetism Bootcamp

Lectures

Join Bootcamp