Chapter 2 - Part 2 - Basic Circuit Theory Part 2 Series and...

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Basic Circuit Theory Part 2 Series and Parallel Circuits
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Learning Objectives Series Circuits Voltage sources Resistors Parallel Circuits Current Sources Resistors How do series circuits divide voltage How do parallel circuits divide current
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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.
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Series Circuits Same current flows through them ( which law dictates that ? ) 1 2
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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
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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
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For N resistors in parallel: 1 2 3 N
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Current Division using parallel circuits Parallel circuits are current dividers th
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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
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Practice Problem Find V1, V2, V3 in the circuit. The following KVL is correct: A. -40 –V1 –V2 = 0 B. -40 +V1 +V2 = 0 C. +40 +V1 +V3 = 0 D. -V2 + V3 = 0 E. Both A and D F. Both B and D
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Find I, v, and the power dissipated in the 6 Ω resistor. The current flowing through the 6Ω resistor is greater than the
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Chapter 2 - Part 2 - Basic Circuit Theory Part 2 Series and...

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