# Superposition Theorem and Thévenin's theorem

Jun 17th, 2015
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To apply the superposition theorem to calculate the current through resistor R1 in the two loop circuit shown, the individual current supplied by each battery is calculated with the other battery replaced by a short circuit.

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Superposition: Two Loop ProblemTo apply the superposition theorem to calculate the current through resistor R1 in the two loop circuit shown, the individual current supplied by each battery is calculated with the other battery replaced by a short circuit. Top of FormFor R1 =, R2 = , R3 = ,and voltages V1 = V and V2 = V,the calculated currents are= A, = Awith a resultant current in R1 of = A.Bottom of FormNote: To avoid dealing with so many short circuits, any resistor with value zero will default to 1 when a voltage is changed. It can be changed back to a zero value if you wish to explore the effects of short circuits. Ohms and amperes are the default units, but if you put in resistor values in kilohms, then the currents will be milliamperes.Other approaches to two-loop circuitsIndexDC CircuitsHyperPhysics***** Electricity and Magnetism R NaveGo BackSuperposition TheoremThe total current in any part of a linear circuit equals the algebraic sum of the currents produced by each source separately.To evaluate the separate currents to be combined, replace all other voltage sources by short circuits and all other current sources by open circuits. Application to two-loop problemIndexDC CircuitsHyperPhysics***** Electricity and Magnetism R NaveGo BackThvenin's theoremFrom Wikipedia, the free encyclopediaIn circuit theory, Thvenin's theorem for linear electrical networks states that any combination of voltage sources,

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