1996 - 2016
BSEE - KB3UON
RF Cafe began life in 1996 as "RF Tools" in an AOL screen name web space totaling 2 MB. Its primary purpose was to provide me with ready access to commonly needed formulas and reference material while performing my work as an RF system and circuit design engineer. The Internet was still largely an unknown entity at the time and not much was available in the form of WYSIWYG ...
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The Thévénin Equivalent of a circuit consists of a Thévénin voltage source in series with a Thévénin resistor and is valid for any load. In AC circuits a Thévénin equivalent circuit is valid for a single frequency.
The Thévénin voltage is the open circuit voltage at the output. calculation is straightforward node or loop circuit analysis. Using loop analysis:
Voc: [8 * I1] + [(8+2+6) * I2] - [6 * I3] = 1 A
I2 = ½A ==> Voc = ½A * 6
Ω= 3 V = Vth
Calculate the Thévénin resistance from the open circuit voltage and the short circuit current
(set RL = 0 and solve for I3) using Ohm's Law.
Rth = Voc / Isc = 3 V / [(4/9) A] = 27 / 4 Ω = Rth