chapter 7 series-parallel circuits. objectives analyze series-parallel circuits analyze loaded...
TRANSCRIPT
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Chapter 7
Series-Parallel Circuits
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Objectives
Analyze series-parallel circuitsAnalyze loaded voltage dividersAnalyze ladder networks Analyze a Wheatstone bridge
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Basic Idea
Given a circuit; steps to analyze a circuit:Find the total resistance
Determine all parallel resistors and series resistors
Simplify the given circuit Use KCL and Ohm’s law to find all currentsUse Ohm’s law to find all voltages
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Find the total resistance
R1 + R2 || R3 + R4 || R5
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Find the total resistance
R1 + R6 || (R5 + (R4 || (R2 + R3)))
R1 || (R2 + R3 || (R5 || R4))
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Find RT, IT, I2, and I4; Vs=50V
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Find RT, I(RL1), I3
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Find RT, IT, I2
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Find RT, IT and V(AB) VS=10V
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Loaded Voltage Dividers
When a load resistor RL is connected from the output to ground, the output voltage is reduced by an amount that depends on the value of RL.
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Loading Effect of a Voltmeter
Multimeter
L
LloadR
RRRR
2
2
What happens if RL >> R2?
So, what is the internal resistance of a DMM?
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Analysis of a Ladder Network A resistive ladder network
is a special type of series-parallel circuit.
One form of ladder network is commonly used to scale down voltages to certain weighted values for digital-to-analog conversion Called R/2R Ladder
Network To find total resistance of a
ladder network, start at the point farthest from the source and reduce the resistance in steps.
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The R/R2 Ladder Network
Only Input 4 is HIGH
Only Input 3 is HIGH
Used for Digital-to-analog converter!
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Examining Digital-to-Analog Conversion
For Extra credit: Change the circuit to generate this output: