Thevenis’s Thepram
A line two terminal circuit can be replaced with an equivalent circuit o.f an ideal voltage source ,Vth in a series with register Ath.
Vth is equal to the open circuit voltage at the terminal .
Rth is the equivalent or input resistance when the independence source in the line circuit are turn off.
Steps to Determine VTh and RTh
Identify the load, which may be a resistor or a part of the circuit .
Replace the load with ab operation circuit.
Calculate Voc . This is VTh.
Turn off all independence voltage and circuit sources in the linear 2-terminal circuit.
Calculate the equivalent resistance of the circuit . This is RTh
The circuit though and voltage across the load of series with VTh and RTh the load actual current and voltage in the original circuit .
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3.
4. Thevenis’s Thepram
• A line two terminal circuit can be replaced with an equivalent
circuit o.f an ideal voltage source ,Vth in a series with register
Ath.
• Vth is equal to the open circuit voltage at the terminal .
• Rth is the equivalent or input resistance when the independence
source in the line circuit are turn off.
6. Definition For Thevenin’s Theorem
i
• V
Linear 2-
Terminal
Circuit
Linear circuit Is a Circuit where the
voltage is Directly proportional To the
current (i.e Ohm’s Law is followed)
Two terminal are the 2 nodes/2wires
that can make a between the circuit tow
the load.
7. Definitions for Thevenin’s theorem
v∞ = Vth
VT
h
Rth
V v∞
Open circuit Voltage V∞ is the voltage ,V, The load is an open
Circuit (i.e RL = ∞ῼ )
8. Definitions for Thevenin’s theorem
Loadv
Rth
• Input Resistance is the resistance by the lode when
Vth = 0V
• It is also the resistance
When the load is a
short Circuit
RL = 0Ω
Vth
Rth
V
Rth
Rth
isc
Rin = Rth = Vth/isc
9. Steps to Determine VTh and RTh
Identify the load, which may be a resistor or a part of the circuit .
Replace the load with ab operation circuit.
Calculate Voc . This is VTh.
Turn off all independence voltage and circuit sources in the
linear 2-terminal circuit.
Calculate the equivalent resistance of the circuit . This is RTh
The circuit though and voltage across the load of series with VTh
and RTh the load actual current and voltage in the original circuit
.
11. THEVENIN AND NORTON THEVENIN’S
THEOREM :
We know deactivate the sources to the left of A-B and find the
resistance seen looking these terminal .
12
Ω
6Ω
4Ω
RTh
Circuit for find RTh for example
We see,
RTh = 12 6 +4 = 8Ω
12. THEVENIN AND NORTON THEVENIN’S
THEOREM :
6Ω+
-
6Ω
6Ω
30V
Circuit for find Vab for example
Vab
(30)(6)
6+12
10V
a
b
Notice That there is no current flowing in the 4Ω resistor A-B in
open .Thus there can be no voltage across the resistor .
13. THEVENIN AND NORTON THEVENIN’S
THEOREM :
+
-
8Ω
Vx
After having found the Thevenin circuit we connect this
two the load in order two find Vx
A
B
10V
-
+
2Ω
After connecting Thevenin circuit
Vx =
(10)(2)
10 + 2
= 2V
14. THEVENIN AND NORTON THEVENIN’S
THEOREM :
In some causes it may become tedious to find RTh by reducing the
resistive deactivate .consider the following :
+
-
A
-
+
2Ω
B
Iss
Rss
RT
h
A Thevenin circuit with the output
shorted VTh
Iss
RTh =
We see ,