2. Find the Thevenin Equivalent circuit for the networkbelow. Draw the Thevenin
ID: 1831153 • Letter: 2
Question
2. Find the Thevenin Equivalent circuit for the networkbelow. Draw the Thevenin eqivalent circuit.
VTh = ______________________
RTh = ______________________
What load resistor must be attached across the output terminalsfor maximum power transfer?
RL = ______________________
Find the current through, voltage across and power disipated bythe load resistor.
IL = _______________________
VL = _______________________
PL = ______________________
Explanation / Answer
R5 is removed from the circuit because it has nocurrent.
Left node: 12 Node above R2: v2 Node above R4: Vth
Node v2: ((v2 - 12)/10) + (v2/20) + ((v2 - Vth)/5) =0 2v2 - 24 + v2 + 4v2 - 4Vth = 0 -4Vth + 7v2 = 24 (1)
Node Vth: ((Vth - v2)/5) + (Vth/20) = 0 4Vth - 4v2 + Vth =0 5Vth - 4v2 = 0 (2)
From (1) & (2):
v2 = (120/19) = 6.32 V v2 = (120/19) = 6.32 V
Vth = (96/16) = 5.05 V
Now, let us find Rth:
Turn off the 12 V voltage source.
Rth = (((10 || 20) + 5) || 20) + 5 = (235/19) = 12.37
RL = Rth = 12.37
iL = (Vth/(Rth + RL)) = (57/235) = 0.2426 A
VL = iL(RL) = 3 V
PL = VL(iL) = (171/235) = 0.7277 W
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