Equivalent Circuit Model

Monday, 10 September 2018

12:14 PM

Machine generated alternative text:
Equivalent circuit model 
• An Op Amp is modelled from its input 
terminals by an input resistor Ri, and 
from its output terminal by a voltage- 
controlled voltage source in series 
o 
with an output resistor Ro. 
• The output voltage vo is given by: 
vo = Ava = A(V2 — VI) 
Typical range for Op Amp parameters 
Avd 
Parameter 
Open-loop gain, A 
Input resistance Ri 
Output resistance Ro 
Supply voltage, Vcc 
Typical range 
105 to 108 
105 to 1013 Q 
10 to 100 Q 
5 to 24 V 
Ideal 
value 
00 0 
• A: Open-loop voltage gain 
vct: Differential input voltage 
• 
VI : Inverting terminal voltage to the ground 
• 
1.12: Non-inverting terminal voltage to the ground 
• 
• Ro: Thevenin equivalent resistance seen at the 
output terminals 
• Ri: Thevenin equivalent resistance seen at the 
input terminals

Equivalent Circuit Model

Op Amps can be modelled with an input resistor R_i, and the output as a voltage-controlled voltage source with an output resistor

 

V_o = Av_d = A(v_2 - v_1)

 

R_o - thevenin equivalent resistor from output terminals

R_i - thevenin equivalent resistor from input terminals

 

 

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