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Unformatted text preview: Basic Circuit Theory Part 2 Series and Parallel Circuits Learning Objectives • Series Circuits Voltage sources Resistors • Parallel Circuits Current Sources Resistors How do series circuits divide voltage How do parallel circuits divide current Review Ohm’s Law : V = IR or I = V/R Kirchhoff’s Voltage Law : An algebraic sum of all the voltages around a closed path (or loop) is zero. Sum of voltage drops = Sum of voltage rises Kirchhoff’s Current Law : An algebraic sum of the currents entering a node is zero. Sum of currents entering a node = Sum of currents leaving a node. Series Circuits Same current flows through them ( which law dictates that ? ) 1 2 Series Circuits (Contd.) Req = ∑ R n Series circuits are voltage dividers To determine the voltage across the Nth resistor use the principle of voltage division. N N eq Parallel Circuits Share a common pair of nodes. Same voltage across parallel elements. (which law dictates that?) Applying KVL for each loop: v = i1 X R1 = i2 X R2 i = i1 + i2 i = v/R1 + v/R2 = v/Req => 1/Req = 1/R1 + 1/R2 • For N resistors in parallel: 1 2 3 N Current Division using parallel circuits Parallel circuits are current dividers th Practice Problem Determine Req for the following circuit: The following pair of resistors are in series: A. 1Ω and 5Ω; 4Ω and 8Ω B. 6Ω and 3Ω C. 2Ω and 6Ω and 3Ω D. 1Ω and 5Ω Practice Problem Find V1, V2, V3 in the circuit....
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This note was uploaded on 06/06/2010 for the course E E 302 taught by Professor Mccann during the Spring '09 term at University of Texas.
 Spring '09
 MCCANN
 Parallel Circuit, Series Circuit, Volt

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