Monday 4 March 2013
TYPES OF CIRCUITS IN THEVENINS-1
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Example:
Determine the Thévenin equivalent of the circuit below, as seen by the load, RL.
Solution
We want
to create a Thévenin equivalent circuit of the circuit to the left of the
terminals a-b.now separate RL from the circuit and find Rth
from terminals a-b
Finding Rth.
Short circuit the current sources,open circuit the voltage sources
Short circuit the current sources,open circuit the voltage sources
From the above figure, it can be
seen that the Thévenin resistance RTH is a parallel combination of a 3W resistor and a 6W resistor, in series with a 2W resistor.
Rth = ( ( 6 * 3 ) / (
6 + 3 )) + 2 = 4Ω
Rth= 4Ω
Rth= 4Ω
Finding Vth
The open-circuit voltage VOC is determined from the circuit below. We
(arbitrarily) choose nodal analysis to determine the open-circuit voltage.
There is one independent voltage in the circuit; it is labeled as v0 in the circuit below. Since there is no current
through the 2W resistor, VOC =
Vth
Applying nodal at VTH
VTH – 18
+ VTH = 0
6
3
Solving above equation,we get VTH
= 6 v
VTH = 6 v
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