Thevenin Equivalent Equation. Where the voltage measured through the terminals a and b in the first circuit. And the resistance measured through the terminal a and b in the first circuit after the voltage source is replaced by a short.
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And the resistance measured through the terminal a and b in the first circuit after the voltage source is replaced by a short. In this example the thevenin voltage is just the output of the voltage divider formed by r 1 and r 3. The thevenin resistance is the resistance looking back from ab with v 1 replaced by a short circuit.
The thevenin voltage is.
The thevenin equivalent circuit if correctly derived will behave exactly the same as the original circuit formed by b 1 r 1 r 3 and b 2. Solving the above equations we get i 1 0 5a. Therefore v th 12 i 1 i 2 12 0 5 2 30v. The thevenin voltage is.