1. RL,RC N RLC SERIES/PARALLEL CIRCUITS

2. OBJECTIVES
Compute the circuit impedance for combined series-parallel RC and RL circuits.
Determine circuit voltages, currents, and average power in combined series-parallel circuits.
Discuss some basic RC, RL & RLC circuit applications.
Relate voltage in and voltage out to the concept of lead and lag networks.

3. COMBINED SERIES-PARALLEL
To analyze combination circuits which have both series and parallel branches, apply the concepts learned for both series and parallel RC/RL circuits.

4. METHODOLOGY ZT = ZS + ZP Find the total series Z for each branch.
Reduce the circuit.
Find the total impedance (Zt).
Solve for V, I, q, and P as required.
ZT = ZS + ZP

5. Ex: CAPACITOR
Find ZT, IT, VC2, P (Note: Vs = E) Z2

6. Ex: CAPACITOR (cont) P = EI cos (qT) = (10V)(461 mA) cos(-42.4o)
P = 3.40 mW

7. Ex: INDUCTOR
Find ZT, IL3, P (Note: Vs = E) Z2 Z3

8. Ex: INDUCTOR (cont) P = EI cos (qT) = (10V)(1.01 mA) cos(31.4o)
P = 8.62 mW

9. TOOLS Note from the previous examples, all of our tools from DC work:
Ohm’s Law
Voltage Divider
Current Divider
Kirchoff’s Current Law
Kirchoff’s Voltage Law
They are the same – but we use COMPLEX NUMBERS.

10. RC APPLICATIONS RC Lag Network RC Filter Low Pass Filter
RC Lead Network
RC Filter
High Pass Filter

11. RL APPLICATIONS RL Lead Network RL Lag Network RL FILTER
Low Pass Filter
High Pass Filter

12. RLC APPLICATIONS
Band Pass Filter
Coax Cable

13. Review Quiz Voltage LEADS/LAGS current in an inductor?
Voltage LEADS/LAGS voltage in a capacitor?
How are true power and reactive power related to apparent power?
What is a lead network? lag network?
What is the methodology for solving combination series-parallel circuits?