Week Eleven: "Thevenin's Theorem With Dependent Sources"

"Thevenin's Theorem" (With Dependent Sources)

CASE 2:

         If the network has dependent sources, we turn off all independent sources. As with superposition, dependent sources are not to be turned off because they are controlled by circuit variables. We apply a voltage source Vo at terminals a and b and determine the resulting current Io. Then Rth = Vo/ Io, as shown in Fig.(a) below. Alternatively, we may insert a current source Io at terminals a-b as shown in Fig. (b) below and find the terminal voltage vo. Again Rth = Vo/ Io. Either of the two approaches will give the same result. In either approach we may assume any value of Vo and Io. For example, we may use Vo = 1 V or Io = 1 A, or even use unspecified values of Vo or Io.

Example:

         Find the Thevenin equivalent of the circuit in Fig. 4.31.

Some Learnings:

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1. In getting the Rth, the same thing we apply with Case 1, we turn off the independent voltage sources by replacing an open circuit and independent current sources by closed circuit, then we replace an open circuit. We replace voltage or current independent source from terminal a to b and assume 1V or 1A on it.
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2. If there is no independent sources in a circuit, we can conclude that Vth is equal to zero.

Video:

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GOD Bless! :)

By:

AYALA, ARNY  S.   BSECE -3

ECE 311

Professor:

ENGR. JAY S. VILLAN, MEP - EE