Thevenins Theory

Question

I have a simple Thevenin problem that I can't seem to wrap my head around. All I need to do is find the Thevenin Equivalent.


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10V                                 <3kohm>
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  |                                     |-----------------<10k>------o
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  |                                    <6kohm>                       Vout
  |                                     |
  |                                     |-------------------------------o
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Answer 1

 

Hi Malachi,

 

One of the references

 

from which we can get a concise summary of the theorem is

 

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/thevenin.html.

 

Looking at the very top of the website above, and

 

let R₁ = 3kΩ, R₂ = 10kΩ, R₃ = 6kΩ, and V₁ = 10V,

 

the Thevenin voltage, e, can be calculated as

 

     e = V₁R₃/(R₁ + R₃)

 

        = 10·6/(3 + 6)

 

        = 10·6/9

 

        = 6.67V

 

The Thevenin resistance, r, is

 

     r = (1/R₁ + 1/R₃)^-1 + R₂

 

        = (1/3 + 1/6)^-1 + 10

 

        = 2 + 10

 

        = 12kΩ

 

So, the equivalent circuit seen through two terminals

 

will look like a serial connection of

 

the Thevenin voltage, 6.67V, and

 

the Thevenin resistance, 12kΩ. 

 

Hope this helps.