Thevenin and Norton Equivalent Circuits

In summary, the conversation discusses finding the Thevenin and Norton Equivalent Circuits for a given circuit. The main focus is on finding the Thevenin-equivalent resistance and the open-circuit voltage between two points. The solution is verified and an incorrect equation is identified and corrected.
  • #1
portuguese
15
0

Homework Statement



Consider this circuit. Find the Thévenin and Norton Equivalent Circuits (just need the 1st one).

1TtGl.png


Homework Equations





The Attempt at a Solution



My attempt:

NutPt.png


Can someone check? Thanks a lot!
 
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  • #2
The Thevenin-equivalent resistance is correct.
You need to find the open-circuit voltage between a an b. If it is open no current flows through the 100 ohm resistor, so all the 2A current of the current generator flows to B and then to A, through the 200 ohm resistor. So you know at VB-VA.

ehild
 
  • #3
So, there's an incorrect equation, right?
 
  • #4
Yes, the second one.

ehild
 
  • #5
Is it just (VB-VA)/200=2?
 
  • #6
Yes.

ehild
 
  • #7
Thanks a lot!
 

What is meant by Thevenin Equivalent Circuit?

The Thevenin Equivalent Circuit is a simplified representation of a complex electrical circuit. It consists of a single voltage source in series with a resistor, and is used to replace a portion of a circuit that has two terminals with a simpler circuit that produces the same voltage-current characteristics at those two terminals.

What is the purpose of finding Thevenin Equivalent Circuit?

The purpose of finding Thevenin Equivalent Circuit is to simplify complex circuits and make them easier to analyze and design. It allows us to reduce a complex circuit to a single voltage source and a resistor, which can greatly simplify calculations and analysis.

How is Thevenin Equivalent Circuit calculated?

The Thevenin Equivalent Circuit is calculated by finding the open-circuit voltage (Voc) and the equivalent resistance (Req) of a circuit. Voc is the voltage across the two terminals when they are disconnected from the circuit, and Req is the resistance seen at those two terminals. The equivalent circuit is then constructed by placing the voltage source (with voltage equal to Voc) in series with the resistor (with resistance equal to Req).

What is a Norton Equivalent Circuit?

A Norton Equivalent Circuit is another simplified representation of a complex electrical circuit. It consists of a single current source in parallel with a resistor, and is used to replace a portion of a circuit that has two terminals with a simpler circuit that produces the same voltage-current characteristics at those two terminals.

How is Norton Equivalent Circuit related to Thevenin Equivalent Circuit?

The Norton Equivalent Circuit is related to the Thevenin Equivalent Circuit through the principle of duality. The Norton Equivalent Circuit can be obtained from the Thevenin Equivalent Circuit by converting the voltage source and resistor into a current source and resistor, respectively. Similarly, the Thevenin Equivalent Circuit can be obtained from the Norton Equivalent Circuit by converting the current source and resistor into a voltage source and resistor, respectively.

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