How Do You Find Frequency in an RC Circuit?

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SUMMARY

The discussion centers on calculating frequency in an RC circuit using the impedance formula Z = [R² + (1/wC)²]¹/², where Z represents impedance, w is the angular frequency, and C is capacitance. The user initially confused the values of resistance (R) given as 4857.1 Ohms and 3629.6 Ohms in different parts of the problem. After some trial and error, they confirmed that the correct frequency equation is f = 1 / [RC(2π)], leading to the correct solution by focusing on the second part of the problem.

PREREQUISITES
  • Understanding of RC circuits and their components
  • Familiarity with impedance and capacitive reactance (Xc)
  • Knowledge of angular frequency (w) and its relation to frequency (f)
  • Basic algebra for solving equations involving R, C, and frequency
NEXT STEPS
  • Study the derivation of the impedance formula for RC circuits
  • Learn about the relationship between angular frequency and frequency in electrical circuits
  • Explore the impact of varying resistance and capacitance on frequency
  • Investigate practical applications of RC circuits in signal processing
USEFUL FOR

Electrical engineering students, hobbyists working with circuits, and anyone seeking to understand frequency calculations in RC circuits.

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RC Circuit, Finding Frequency? [Solved]

Solved =]

Homework Statement



question.jpg


Homework Equations



Z = [ R2 + (1/wC)2 ]1/2
where Z is impedance, w = (omega) = angular frequency

Xc = 1/(wC)

w = 2(pi)f

(tau) = RC
where (tau) is the time constant

The Attempt at a Solution


I'm more confused than anything. Like I'm not sure what the set up is.
setup.jpg


Just looking at the problem itself, the first part seems to give different numbers. When in the first part R = 4857.1 Ohms, and then in the second part R = 3629.6 Ohms?

At first I was working under the assumption that Z = R, but that would result in 0=1/(wC)
Then I googled impedance of the capacitor and some sources say that that is Xc, the capacitive reactance. So I solved R = Xc = 1/(wC) got that f = 1/ [ RC2(pi) ] , but when I tried plugging it in, I still couldn't get the answer that they have.EDIT:
Nevermind. I just figured it out. Turns out I was right for the frequency equation. I just used the numbers given instead in the second part and completely ignored the first part, and got the answer.

Um, how do I delete a thread?
 
Last edited:
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Glad you got it figured out
 

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