How to get |Vo/Vs| after finding Vo/Vs

  • Thread starter Thread starter CoolDude420
  • Start date Start date
Click For Summary
SUMMARY

The discussion focuses on obtaining the voltage gain |Vo/Vs| after calculating Vo/Vs, which is identified as the transfer function. The method involves determining the magnitude of complex numbers representing both the numerator and denominator. Participants confirm that the magnitude is calculated using the Pythagorean theorem, considering the real and imaginary components of the complex numbers. The final approach is to take the square root of the sum of the squares of these components for both Vo and Vs.

PREREQUISITES
  • Understanding of complex numbers and their components
  • Knowledge of voltage gain and transfer functions
  • Familiarity with Pythagorean theorem applications
  • Basic electrical engineering concepts
NEXT STEPS
  • Study complex number magnitude calculations in electrical engineering contexts
  • Learn about transfer functions in control systems
  • Explore advanced topics in voltage gain analysis
  • Review examples of complex impedance in AC circuits
USEFUL FOR

Electrical engineering students, circuit designers, and anyone studying transfer functions and voltage gain in complex systems.

CoolDude420
Messages
199
Reaction score
9

Homework Statement


This is probably a stupid question, but I'm not too sure how to obtain the "Voltage gain |Vo/Vs| after finding Vo/Vs which I think is called the transfer function".

I'm doing a question where I found the Vo/Vs but I'm not sure how to turn that into |Vo/Vs|

Homework Equations

The Attempt at a Solution



b8650999aa.png


The correct answer given to us is below
bcbfdf8706.png


The answer seems to have squared top and bottom and taken the square root of the bottom? Not entirely sure what's the general method for this.
 

Attachments

  • b8650999aa.png
    b8650999aa.png
    31.4 KB · Views: 883
  • bcbfdf8706.png
    bcbfdf8706.png
    21.6 KB · Views: 727
Physics news on Phys.org
Consider first the denominator. It is a complex number, and has a Real component and an Imaginary component. You can sketch it. To find the magnitude of a complex number, use Pythagoras.

The numerator is also a complex number ...
 
  • Like
Likes   Reactions: CoolDude420
NascentOxygen said:
Consider first the denominator. It is a complex number, and has a Real component and an Imaginary component. You can sketch it. To find the magnitude of a complex number, use Pythagoras.

The numerator is also a complex number ...

Ah. Got it! Took the magnitude of the top and the bottom. Thank you!
 

Similar threads

Engineering Opamp Circuit Q: Find Vo in Terms of Vs | Chegg.com
  • · Replies 1 ·
Replies
1
Views
2K
What is the voltage gain for this circuit?
  • · Replies 5 ·
Replies
5
Views
2K
Engineering Step response of RC circuit with independent voltage and current sources
  • · Replies 7 ·
Replies
7
Views
3K
Engineering Transfer function of AC Transformer
  • · Replies 2 ·
Replies
2
Views
2K
Engineering Solving Opamp Circuit Analysis: Find V0/Vs
  • · Replies 8 ·
Replies
8
Views
3K
Find the voltage gain, input and output resistance amplifier
  • · Replies 7 ·
Replies
7
Views
5K
Calculating Unknown Voltages on Op Amp Circuits
  • · Replies 9 ·
Replies
9
Views
2K
Finding closed loop gain in ideal op amp
  • · Replies 5 ·
Replies
5
Views
3K
How Do You Calculate Gain in a Transistor Amplifier Circuit?
  • · Replies 10 ·
Replies
10
Views
3K
Engineering Why is the voltage output in diode analysis circuits sometimes confusing?
  • · Replies 10 ·
Replies
10
Views
2K