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Problem 7 Medium Difficulty

(a) Find the equivalent resistance between points $a$ and $b$ in Figure P 18.7.
(b) Calculate the current in each resistor if a potential difference of 34.0 V is applied between points $a$ and $b.$

Answer

a. $R_{0}=17.12 \Omega$
b. $I=1.99 A$
$I_{2}=1.16 A$
$\mathrm{I}_{3}=0.81 \mathrm{~A}$

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Video Transcript

in the first part of this question, we are going to kill off. Let the glint resistance off the given combination in order to complete this Ari we named the Resisters from left to right is our one, two or three and four we see that are to interfere in peril so we can write one by Ari Prime equals to one by our two plus one by our tree. Now sitting the values into this equation, we will get one by Ari Prime. He calls to one bite so important 00 plus one by 10.0 home. From this, we can get Ari prime equals to 4.12 Home No. Four series combination we can right r equals toe are one plus Ari Prime plus our four now setting the Williams into this equation, we will get R equals to 4.0 home plus 4.12 home plus 9.0 home. This will give us r equals two. So indeed, 0.1 tool. So this is the answer off us part of this question. In second part of this question, we have to kill Colette that current flowing through each of the resistor. But the current flowing through our one and four is is I and the current flowing through our to end our trees. I do and I three respectively. Let's apply homes, lotto conflict I weak ones too. I ar e was holding the square for I weaken right I calls to really wanted by Ari Now setting the values into this equation we will get I equals 2 34.0 world divided but 17.1 toe. This will do us Michael's too 1.99 in bed In order to complete 23 for us, we need to kill pleather potential difference across its end which is we do three In order to complete the 23 let me apply the equation we close to we want plus we +23 plus before we want ended Before all the potentials which are dropped at Resister one end are full. This equation can be written as we do three equals Two reminders I in tow are one plus our four now setting the values into this equation we will get we do three close to 34 points your world minus into 1.99 and peer into 13.0 so this will do us. We do three quarts to 8.13 words. No, I do can be written as I do equals two. We do three divided by our two now sitting values into this equation we will get I do equal to 8.13 ball divided by 7.0 So this will give us at two equals two 1.16 impaired now, tribal peoples, too. We do three divided by R C now set in the valleys. Into this equation, we will get 8.13 Walt, divided by 10.0 So this will give us three calls, too. Zero point. It wasn't fair. So end of the question.

Other Schools
Top Physics 102 Electricity and Magnetism Educators
Christina K.

Rutgers, The State University of New Jersey

Marshall S.

University of Washington

Aspen F.

University of Sheffield

Meghan M.

McMaster University

Physics 102 Electricity and Magnetism Bootcamp

Lectures

Join Bootcamp