(adsbygoogle = window.adsbygoogle || []).push({}); _{1. The problem statement, all variables and given/known data What current flows through the resistors R(1) = 1Ω, R(2) = 2 Ω and R(3) = 3 Ω, if the driving voltages are V(1) = 1V and V(2) = 2V? Picture: http://item.slide.com/r/1/151/i/lvtwIwH-0j8A8o-XAKDtPRQO1eHAb4Ik/ [Broken] 2. Relevant equations V= RI → I= V/ R 3. The attempt at a solution V(1)= I(2)R(2) + I(1)R(1) V(2)= I(3)R(3) – I(2)R(2) I(1)= I(2) + I(3) - From what I stated above, I conclude three equations: 1) V(1) = I(2)R(2) + [(I(2) + I(3))*R(1)] 2) V(2)= I(3)R(3) - I(2)R(2) 3) V(1)= [I(2)*( R(1) + R(2))] + I(3)R(1) - I combined the three equations and simplify for the current that goes through ALL resistors, which in our case is I(3): I(2)= (I(3)R(3) - V(2))/ R(2) V(1)R(2)= [(I(3)R(3) – V(2))/ R(2))*(R(2) + R(1))] + I(3)R(1)R(2) (V(1)R(2))/ (R(2) + R(1))= (I(3)R(3)) + [I(3)R(1)R(2))/ (R(2) + R(1))] I(3)*[R(3) + (R(1)R(2)/ (R(2) + R(1))]= [V(1)R(2)/ (R(2) + R(1))] + V(2) I(3)= [(V(1)R(2)/ (R(2) + R(1)) + V(2)] / [R(3)* (R(1)R(2)/ (R(2) + R(1))] I(3)= 1.37 A Are my calculations correct? Thank you for helping!}

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# Homework Help: Calculating the current of a circuit- resistance and volatge known, see picture

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