RC circuit Transfer Function/bode plot

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SUMMARY

The forum discussion centers on deriving the transfer function for an RC circuit with specific component values: R1 = 47kΩ, R2 = 4.7kΩ, and C = 10nF. The transfer function is expressed as H(jω) = R2/(R2 + (R1 * 1/jωC)/(R1 + 1/jωC)). Participants discuss methods for calculating amplitude and phase responses using complex algebra, emphasizing the importance of manipulating complex numbers to achieve the desired form H = Hr + jHi. The conversation also highlights the use of software tools like PSPICE or MATLAB for generating Bode plots and analyzing frequency responses.

PREREQUISITES
  • Complex number manipulation in algebra
  • Understanding of transfer functions in electrical circuits
  • Familiarity with Bode plots and frequency response analysis
  • Knowledge of RC circuit components and their behavior
NEXT STEPS
  • Learn how to derive transfer functions for different circuit configurations
  • Study complex number algebra techniques for simplifying expressions
  • Explore the use of PSPICE for simulating circuit responses
  • Investigate MATLAB functions for generating Bode plots and analyzing frequency responses
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing and designing RC circuits and their frequency responses.

  • #31
Jolly good show indeed!

I have plotted the phase!

What do you think?

View attachment phase.pdf

Thanks for all your help rude man!
 
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  • #32
Mitchy190 said:
Jolly good show indeed!

I have plotted the phase!

What do you think?

View attachment 46508

Thanks for all your help rude man!

You're welcome.

Except I'm confused about one thing - your plots look 100% right but the expressions you allegedly used are not.

The phase is not tan-1(1+ωRC) - tan-1(1+ωR3C). I suspect you used the right expression by accident or something similar. Check your Excel for the formulas you actually used.

BTW I wish I had your knowledge of Excel!
 
  • #33
rude man said:
You're welcome.

Except I'm confused about one thing - your plots look 100% right but the expressions you allegedly used are not.

The phase is not tan-1(1+ωRC) - tan-1(1+ωR3C). I suspect you used the right expression by accident or something similar. Check your Excel for the formulas you actually used.

BTW I wish I had your knowledge of Excel!

The formulaes I used are, which are correct right?

arctan(ω*R*C) - arctan(ω*R3*C)

Thanks! Wish I had your knowledge in physics!
 
Last edited:

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