V v v i2 i3 r1 r2 r3 i i1 i2 i3 i1 26

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Unformatted text preview: 02 Introduction to Circuits and Systems Series circuits When elements are connected end to end, they will carry the same current (applying KCL to each joint (node) of two ends) and are said to be in series. v1 VS v2 - i1 i2 i3 iS - v3 + Fig. Series circuit At node1, applying KCL: i1 i2 0 i1 i2 We can apply KCL at all the other nodes and show that the current is same in all elements: is i1 i2 i3 Applying KVL we can show that VS v1 v2 v3 Parallel Circuits Two elements are said to be connected in parallel if both ends of one elements are connected to the corresponding ends of the other element and voltages across both the elements are identical (i.e. equal in magnitude as well as polarity). iS i1 i2 VS v1 v2 v3 i3 Fig. Parallel circuit 25 EE1002 Introduction to Circuits and Systems Applying KVL at mesh1: Vs v1 0 v1 Vs It can be shown thus that: v1 v2 v3 Vs Applying KCL we can show that iS i1 i2 i3 Resistances in series Our aim is to find the equivalent resistance of a series connection of resistors to simplify the circuit. From the KCL, we know that currents in all the resistors in series will be identical. From KVL,...
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This document was uploaded on 01/20/2014.

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