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