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For an electronics project you have three resistors R1, R2, and R3. Unfortunately, only R1 =...

For an electronics project you have three resistors R1, R2, and R3. Unfortunately, only R1 = 3Ω is labeled. Luckily, you paid attention in your physics lectures and you recall the mathematical relationships of (three) resistors in a series circuit and in a parallel circuit. When all three resistors are connected in parallel you measure the total resistance Rparallel = 4 3Ω, and you find a total resistance of Rseries = 13Ω when they are connected in series. a) First, write down the equations for the total resistance in a series and in a parallel circuit. b) Using those equations, what are the resistances R2 and R3? Note that, at the end, you will need to solve a quadratic equation.

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