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# Lesson 23 AC Source Tx AC Thèvenin - PowerPoint PPT Presentation

Lesson 23 AC Source Tx AC Thèvenin. Learning Objectives. Construct equivalent circuits by converting an AC voltage source and a resistor to an AC current source and a resistor. Apply Thèvenin's Theorem to simplify an AC circuit for analysis.

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### Lesson 23AC Source TxAC Thèvenin

• Construct equivalent circuits by converting an AC voltage source and a resistor to an AC current source and a resistor.

• Apply Thèvenin's Theorem to simplify an AC circuit for analysis.

Source transformation is the process of replacing a voltage source vs in series with a resistor R by a current source is in parallel with a resistor R, or vice versa.

Review

DC Source transformation

A voltage source with impedance Z in series is the same as a current source with an impedance Z in parallel.

AC Source transformation

Convert the voltage source to a current source:

Using source transformations, determine the voltage drop VR across the 3 ohm resistor and the current IR through it.

Using source transformations, determine the voltage drop Vab across the 10 ohm resistor.

ETh is the open circuit voltage at the terminals,

ZTh is the input or equivalent resistance at the terminals when the independent sources are turned off.

Thévenin’s theorem for AC

Review

Determining ETh

Eth = open ckt voltage

Voltage sources – 0 V is equivalent to a short-circuit.

Current sources – 0 A is equivalent to a open-circuit.

ZTh is the equivalent resistance looking into the “dead” circuit through terminals a-b.

Determining ZTh

Zth

Once sources.ETh and ZTh have been found, the original circuit is replaced by its equivalent and solving for ILD and VLD becomes trivial.

Applying Thévenin equivalent

Example Problem 4 sources.

Convert the source below into a Thévenin equivalent and determine the current through load Zab.

Example Problem 5 sources.

Convert the source below into a Thévenin equivalent.