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Lesson 22 Series/Parallel AC Circuits
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Learning Objectives Determine total impedance of AC parallel and series circuits. Apply Ohm’s Law, Kirchhoff’s Voltage Law, voltage divider rule, Kirchhoff’s Current Law, and current divider rule to AC series parallel networks and its elements. Solve AC series parallel networks.
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Common Mistakes in AC analysis
Confusing XC and C or XL and L Confusing ω and f when calculating XC and XL Using VPK and IPK in phasors Using VRMS and IRMS in time domain Incorrectly converting from rectangular to polar forms Loosing track of signs when adding up impedances
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Impedance and AC Circuits
REVIEW Impedance and AC Circuits Solution technique Transform time domain currents and voltages into phasors Calculate impedances for circuit elements Perform all calculations using complex math Transform resulting phasors back to time domain (if reqd)
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Example Problem 1: Series AC
Find ZT, VR, I & i
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Example Problem 2: Parallel AC
Find the total impedance ZT. Calculate and graph E, IC, IR, IL
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Example Problem 2
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Common Mistakes Applying Ohm’s Law
Incorrectly calculating voltage drop or current direction across an impedance GIVEN: Vb=361-174V REQD: IL SOLN:
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Example Problem 3: Series/Parallel
Find I1 and I2
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Example Problem 4: Series/Parallel
Find VR, IC , IL and IR e(t)=169.7 sin (ωt)
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Example Problem 5 Find I2 and VL
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Common Mistakes Applying VDR
#1: Confusing E and Vcn E in the VDR is the voltage drop across those impedances in series.
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Common Mistakes Applying VDR
#2: Using wrong “ZTOT” ZTOT in the VDR equation refers to just the combination of the impedances resistors that are series with each other.
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Example Problem 6 Find VR using the Voltage Divider Rule
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Common Mistakes Applying CDR
#1: Using ZTOT in the CDR instead of ZEQ for the impedance of the parallel branches.
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Common Mistakes Applying CDR
#2: Not using ALL the series impedances in a branch
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Example Problem 7 Find I2 using the Current Divider Rule. Find Va and Vac.
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Example Problem 8 Compute Vab.
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Example Problem 9 Use the Current Divider Rule to find I3
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