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Series - Parallel Circuits ENTC 210: Circuit Analysis I Rohit Singhal Lecturer Texas A&M University

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Definition Series – Parallel circuits are networks that contain both series and parallel circuit configurations.

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General Approach for Solving Take a moment, before you start calculating. The answer may be a lot simpler than reducing everything. There may be many “time” and “energy” saving shortcuts to solve the problem. Examine each region independently, before tying them together.

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Reduce and Return Approach Applicable to all single source circuits.

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Currents in Loops (Remember KCL?)

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i1i1

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i1i1 i2i2

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i1i1 i3i3 i2i2

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Ladder Networks

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There are 2 approaches to solve this circuit Reduce Resistances using series parallel analysis Calculate current using current loops

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Ladder Networks Reduce Resistances?? That’s easy!!!

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Ladder Networks Calculate current using current loops Once you have the current through the source, you know the effective resistance Let’s do it!!!

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No - Load When is “no load” observed? When R 2 is infinitely large? Or when R 2 is zero? R1R1 R2R2

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No - Load When is “no load” observed? When R 2 is infinitely large? Or when R 2 is zero? When R 2 is infinite!!! R1R1 R2R2

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Voltage Divider Supply What should I do if I want multiple voltage outputs from the same 9V battery?

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Voltage Divider Supply R1R1 R2R2 R3R3 V3V3 V2V2 V1V1

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What’s the value of V1, V2 and V3? 9V = V 1 > V 2 > V 3 R1R1 R2R2 R3R3 V3V3 V2V2 V1V1

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Voltage Divider Supply We cannot calculate V 2 and V 3 unless we know what load is connected to them The less the load, the closer they are to 9V. R1R1 R2R2 R3R3 V3V3 V2V2 V1V1

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