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Problem 31 Hard Difficulty

Find the potential difference across each resistor in Figure P 18.31.

Answer

V_{2} \approx 3.05 \Omega, V_{3} \approx 4.57 \Omega, V_{4} \approx 7.39 \Omega, V_{5} \approx 1.62 \Omega

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Video Transcript

in this problem, we are asked to clear the potential difference across each of the given resistors. So we need to find we do. We three. We're four and we have five. In order to kill Claire, these potential differences let me apply like a crossword day. You'll in loop one 18 points. Their world minus 3.0 world minus for 100 How am I going to I two minus 3.0 mega in Taiwan minus 2.0 matter in tow. I want equals to zero. So by simplifying this square and we will get 15 points revolt minus 4.0 my going toe to minus 5.0 mega in tow. I want equals to zero. So let's call it equating one. No applying the same rule and look do we will get 12.0 world minus 3.0 world minus into 4.0 Micah into I to minus 5.0 Migraine by three equals to zero. So let's simplify it. My important 00 world minus 4.0 mega in tow to minus 5.0 Mega in tow. I three equals to zero. So let's call it equation, too. Now, using her coach current rule we can right two equals two. I won't last three. Let's call it equating a now setting the well you off by three from equation Air into equation, too. We will get mine point general work minus into 9.0 mega into i two plus 5.0 My goingto I want equals to zero. So let's cool it Equation three. No waiting equating number one and equating three. We will get 24 points in the world minus into 13.0 My go into our two equals to zero. So this equation will you watch the well you four eyed ways two equals to 1.85 compared let's go to the equation for now. Sitting there Well, you off this I too into equating one. We will get the value for I want, as I want equals to 1.5 to 1 pair. No setting the world off I want and I to into equation We can write the widow for three years, three calls to 0.33 and bad quality question six and this one will be quite a number five now. The potential difference across this resistor which is known as our two, is we do equals two. I want to know setting the values we will get. We do equals two at 1.5 to impair in 2.0 matter. So this will vehicles too. We do equals 23.4 world. Similarly, we really equals two. We three calls to my three. I want our tree now sitting the values we will get with three quotes too. 1.5 time bad into 3.0 matter. So this will do us with three calls too. 4.56 some bad. Now we're for real equals two. We're four equals two. I two are for now setting the values we even get. We're four equals to 1.85 compare into 4.0 matter which is equals two were four equals two So 1.40 worked. So in the we three there was word Not a bear. No, we have five. His return as you five equals two. Why three are five more sitting a while is into this question, we will get we five equals two in tow. 0.33 and bad into 5.0 omega. Which is? It was too. You five equals two 1.65 fold. So end of the question. Thank you.

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Top Physics 102 Electricity and Magnetism Educators
Elyse G.

Cornell University

Marshall S.

University of Washington

Zachary M.

Hope College

Meghan M.

McMaster University

Physics 102 Electricity and Magnetism Bootcamp

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