Series-Parallel Networks

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Series-Parallel Networks

Series-parallel networks are networks that contain both series and

parallel circuit configurations.

Fig. 1 Series parallel network

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General approach Study the problem “in total” --- make a brief mental sketch of the overall approach you plan to use.

Next, examine each region of the network independently before tying them together in series-parallel combinations. This will usually simplify the network and possibly reveal a direct approach toward obtaining one or more desired unknowns. It also eliminates many of the errors that might result due to the lack of a systematic approach.

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General approach Redraw the network as often as possible with the reduced branches and undisturbed unknown quantities to maintain clarity and provide the reduced networks for the trip back to unknown quantities from the source. When you have a solution, check that it is reasonable by considering the magnitudes of the energy source and the elements in the network. If it does not seem reasonable, either solve the circuit using another approach or check over your work very carefully.

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Example problems Q1. For the circuit in fig. 2, find i. total resistance ii. currents

Fig. 2 Circuit diagram for example problem#1

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Example problems Q2. For the circuit in fig. 3, find i. total resistance ii. currents

Fig. 3 Circuit diagram for example problem#2 6 M.S.Muhit

Descriptive examples Q3. For the circuit in fig. 4, find i. V2 ii. I4

Fig. 4 Circuit diagram for example problem#3

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Descriptive examples

Q4. For the circuit in fig. 5, find a. voltages V1, V3, and Vab b. source current Is

Fig. 5 Circuit diagram for example problem#4

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Descriptive examples

Q5. For the circuit in fig. 6, find a. voltages V1, V2 b. current I

Fig. 6 Circuit diagram for example problem#5

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Descriptive examples

Q.6 Calculate the indicated currents and voltage for the circuit in fig. 7

Fig. 7 Circuit diagram for example problem#6

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Descriptive examples

Q.7 Determine voltages V1, V2 ,V3 for the circuit in fig. 8

Fig. 8 Circuit diagram for example problem#7

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Ladder networks

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Ladder networks

RT =8 Ω , IS =30 A

I1 =15 A , I3 =15 A

I4 =5 A I6 =10 A

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Self study

Voltage divider supply Potentiometer loading Ammeter, Voltmeter, & Ohmmeter design

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Grounding

1. Earth ground 2. Chassis ground

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Wiring diagram & 3 wire conductors

Fig. 9 Complete wiring diagram for a household outlet with a 10 Ω load. 16 M.S.Muhit

Boosting a car battery

Fig. 10 Boosting a car

battery

Fig. 11 Current level at

starting

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Boosting a car battery

Fig. 12 Current levels if the booster battery is improperly connected.

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Reference

1. Introductory Circuit Analysis by Robert . L. Boylestad

2. http://www.electronics-tutorials.ws/dccircuits/dcp_1.html

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