2015+1-1,2,3+all.pdf

In this unit we consider only scenario 1 e quivalent

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In this Unit, we consider only Scenario 1. E QUIVALENT RESISTANCE OF RESISTORS CONNECTED IN SERIES Let us review and expand the results of Unit 1-1-5 for the series connection of resistors. Figure 1. When two or more resistors are connected in series, the same current flows through all of them, and the total voltage is divided, as explained in Unit 1-1-5. ü The equivalent resistance of two or more resistors connected in series equals the sum of their resistances: o For 2 resistors in series (see Equation 1 in Unit 1-1-5): ࠵? !"#\$% = ࠵? !"#\$% ࠵? ! + ࠵? ! Thus Book Page 62

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EE for the 21 st century Review the basics 1-1-6 Equivalent resistance © 2015 Alexander Ganago Page 4 of 11 Last printed 2015-07-24 6:22 PM File: 2015 1-1-6 R_eq.docx ࠵? !" = ࠵? ! + ࠵? ! [Equation 1] o For N resistors in series (see Equation 10 in Unit 1-1-5): ࠵? !"#\$% = ࠵? !"#\$% ࠵? ! + + ࠵? ! Thus ࠵? !" = ࠵? ! + + ࠵? ! [Equation 2] <Sidebar> The equivalent resistance of two or more resistors connected in series equals the sum of their resistances: ࠵? !" = ࠵? ! + + ࠵? ! [Equation 2] A simple consequence is that the equivalent resistance of several resistors connected in series is greater than the largest individual resistance. <Sidebar> For series connection, the equivalent resistance is greater than the largest individual resistance. E QUIVALENT RESISTANCE OF RESISTORS CONNECTED IN PARALLEL Similarly, let us review and expand the results of Unit 1-1-5 for the parallel connection of resistors. Figure 2. When two or more resistors are connected in parallel, the same voltage is applied to all of them, and the total current is divided, as explained in Unit 1-1-5. Book Page 63