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Problem 51 Hard Difficulty

When two unknown resistors are connected in series with a battery, the battery delivers 225 W and carries a total current of 5.00 A. For the same total current, 50.0 W is delivered when the resistors are connected in parallel. Determine the value of each resistor.

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Video Transcript

in this question, we are asked to calculate Unknown resistance is those are our one and two for that city's combination. Weaken white people's, too I Siri's square in tow. Ari Siri's here peeled the power and eyes the good. Where are these? The current resistance when these resistors are connected in Siri's so it can be written as soapy series. It calls to us serious square in tow are one plus are to sit in. The world is off p series, and I sees this question. We get 225 40 calls to 5.0 unparalled square into our one plus are too, so this can be simply fight is are one plus two equals two 9.0 Omega cornered equation one. Similarly, for panel combination, weaken right people equals two. I pedaled square in tow, Ari Pattern, now writing the value for this ari pallor into the square, and we can write propellant equals to happen and square in tow. One are two divided by our own plus are too. Now certain values into this quadrant we will get 50 points. Award goes to 5.0 on panel square into our one or two divided baron. Plus are to his can be simply five years are one or two divided by our one plus two equals 2.0 omega quality Quentin, too. No multiplying question one by question. To weaken right are one or two equals. Tow it in 20.0 Mega Square or it can be returned as two equals 2 18 points. You don't make a square deal what it by I want one so quality quite a number three now setting the value off are due in tow Quite a number or want and intensively find that equation we can right are one square minus into nine points. Littlejohn Omega into our one plus at in 0.0 metres squared equals to zero. Since this is a quadratic equation, were equals toe one b equals two minus nine point digital omega and Sequels to 18.0 made a square. Now, using quadratic formula, we can right are one equals two minus B plus minus into B squared minus for a C. D. Wanted by to it. While sitting the world's into this equipment we will get are one equals two mine 20.0 mega plus minus squared off 9.0 Michael Square minus for into one into 18.0. Matter square. Wanted by two into one. So this will give us the value for our runners. One equals to 6.0 Micah and the other solution will be one equal to 3.0 omega. You're using the equity number one. We can write the value for our two using the values off our one for this, will you? Oh, for one develop far too will be actually quotes to 3.0 omega. No. If we did the well off are one has three point village in Omega, then develop far too will be Do it goes to exploring diligent omega. So end off the question. Thank you.

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

Rutgers, The State University of New Jersey

Marshall S.

University of Washington

Zachary M.

Hope College

Aspen F.

University of Sheffield

Physics 102 Electricity and Magnetism Bootcamp

Lectures

Join Bootcamp