How Do You Find Frequency in an RC Circuit?

Unfortunately, you cannot delete a thread once it has been posted, but you can always edit your post to provide a solution or update to the problem. In summary, the conversation discussed solving for the frequency in an RC circuit, using equations for impedance, capacitive reactance, angular frequency, and time constant. The solution involved using the numbers given in the second part of the problem and ignoring the first part to get the desired answer.
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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
 

FAQ: How Do You Find Frequency in an RC Circuit?

What is an RC circuit?

An RC circuit is a circuit that consists of a resistor and a capacitor connected in series or parallel. It is used to control the flow of electric current and store electric charge.

How do you calculate the frequency of an RC circuit?

The frequency of an RC circuit can be calculated using the formula f = 1/(2πRC), where f is the frequency in Hertz, R is the resistance in Ohms, and C is the capacitance in Farads.

What factors affect the frequency of an RC circuit?

The frequency of an RC circuit is affected by the values of the resistor and capacitor. A higher resistance or capacitance will result in a lower frequency. The type of circuit (series or parallel) and the voltage applied also affect the frequency.

How does an RC circuit behave at different frequencies?

At low frequencies, the capacitor acts as an open circuit and blocks the flow of current, while the resistor allows all the current to flow through. At high frequencies, the capacitor acts as a short circuit, and the majority of the current flows through it, bypassing the resistor.

How is the frequency response of an RC circuit represented graphically?

The frequency response of an RC circuit is represented by a graph of frequency against voltage gain or current gain. This graph is known as the Bode plot and shows how the circuit responds to different frequencies, providing information about its behavior and properties.

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