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Lesson 22 Series/Parallel AC Circuits

Lesson 22 Series/Parallel AC Circuits. 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.

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Lesson 22 Series/Parallel AC Circuits

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  1. Lesson 22Series/Parallel AC Circuits

  2. 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.

  3. 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

  4. 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)

  5. Example Problem 1: Series AC Find ZT, VR, I & i

  6. Example Problem 2: Parallel AC • Find the total impedance ZT. • Calculate and graph E, IC, IR, IL

  7. Example Problem 2

  8. Common Mistakes Applying Ohm’s Law • Incorrectly calculating voltage drop or current direction across an impedance • GIVEN: Vb=361-174V • REQD: IL • SOLN:

  9. Example Problem 3: Series/Parallel Find I1 and I2

  10. Example Problem 4: Series/Parallel Find VR, IC , ILand IR e(t)=169.7 sin (ωt)

  11. Example Problem 5 Find I2and VL

  12. Common Mistakes Applying VDR #1: Confusing E and Vcn E in the VDR is the voltage drop across those impedances in series.

  13. 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.

  14. Example Problem 6 Find VRusing the Voltage Divider Rule

  15. Common Mistakes Applying CDR #1: Using ZTOT in the CDR instead of ZEQ for the impedance of the parallelbranches.

  16. Common Mistakes Applying CDR #2: Not using ALL the series impedances in a branch

  17. Example Problem 7 Find I2using the Current Divider Rule. Find Va and Vac.

  18. Example Problem 8 Compute Vab.

  19. Example Problem 9 Use the Current Divider Rule to find I3

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