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Week 6 Day 1
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Units to be measured and calculated VoltageVoltsV or E ResistanceOhmsR or Ω Current AmpsI or A PowerWattW or P
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Multisim lab test.
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Work more than 2 weeks past due date may receive zero.
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Chapter 6 DIVIDER CIRCUITS AND KIRCHHOFF’S LAWS 6.1 Voltage divider circuits............. 171 6.2 Kirchhoff’s Voltage Law (KVL)......... 179 6.3 Current divider circuit............... 190 6.4 Kirchhoff’s Current Law (KCL)......... 193
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Chapter 7 Series Parallel Combination Circuits 7.1 What is a series-parallel circuit?............. 197 7.2 Analysis technique......................... 200 7.3 Re-drawing complex schematics.............. 208 7.4 Component failure analysis................. 216 7.5 Building series-parallel resistor circuits........ 221 7.6 Contributors.............................. 233
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(50V – 12.5V) = 37.5Vtotal R1 R2 R3
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37.5Vtotal 4Ω +7Ω + 4Ω V/R = I
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2.5A x 4Ω = 10V R1 2.5A x 7Ω = 17.5V R2 2.5A x 4Ω = 10V R3 IxR=V
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Ohm’s Law Kirchhoff’s Voltage Law
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5.3 Simple parallel circuits page 139 Experiment 6 Parallel circuits week 6.
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PARALLEL RESISTORS Two elements or branches are in parallel if they have two points in common.
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Textbook page 139 The first principle to understand about parallel circuits is that the voltage is equal across all components in the circuit.
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Textbook page 141 The second principle of parallel circuits: the total circuit current is equal to the sum of the individual branch currents.
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Chapter 6 page 193 Parallel circuits proportion, or ”divide,” the total circuit current among individual branch currents, the proportions being dependent upon resistances.
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The current is inverse to the Resistance.
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We will use Resistance Ω not Conductance G By finding the reciprocal of the resistance of a material, we have a measure of how well the material conducts electricity.
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Textbook page 141 The total circuit resistance in a parallel circuit is less than any one of the individual resistors.
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Textbook page 146 For resistors in parallel total resistance is determined from the following equation:
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Total resistance is less than the smallest resistance. Voltage is the same across all parallel components.
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10v / 1000Ω = 10mA I total 60mA This cant go on forever because Power = I x V So W = I [∞] x 10 volts would mean W [∞]
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Measurements in parallel circuits.
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Node: A junction point. A terminal common to two or more branches.
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MEASURING TOTAL CURRENT Lab Test
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MEASURING CURRENT IDIVIDUAL BRANCH Lab Test
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MEASURING PARALLEL RESISTANCE
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R 1 //R 2 R 1 parallel R 2
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Product / Sum
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EQUAL PARALLEL RESISTORS R T = R/N 12 Ω /3 = 4 Ω
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In class Exercise
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KCL Textbook page 193
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KCL Kirchhoff’s Current Law (KCL): ”The algebraic sum of all currents entering and exiting a node must equal zero” Textbook page 193
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Don’t confuse designated points (numbers or letters) with nodes or junctions.
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Is = I1 + I2 + I3 conventional flow
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Textbook page 146 8.1mW 40.5mW 81mW = 129.6mW 5.5 Power calculations Power is additive in any configuration of resistive circuit: PTotal = P1 + P2 +... Pn
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Redrawing a circuit.
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Printed Circuit Board (PCB)
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Through Hole
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SMT Surface Mount Technology
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Block Diagrams
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Pictorial Diagrams
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Schematic Diagrams A schematic diagram is used to illustrate a principle of operation, and therefore does not show parts as they actually appear or function.
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