Cutoff frequency in this circuit

In summary, the conversation discusses the cutoff frequency of a circuit and how it is related to the transfer function. The speaker suggests that the cutoff frequency can be determined through analysis and mentions the concept of a Bode plot. They also clarify that there is no specific cutoff frequency in this circuit, but rather a range of gain values at different frequencies. The conversation concludes with a question about the ground connection of the voltage source.
  • #1
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I'd say that the cutoff frequency of the circuit in the following scheme is given by [tex]f_0=\frac{1}{2 \pi (R_1//R)C}[/tex] but I don't know how to prove this idea.. Do you agree with me? what would you say? Many thanks!
 
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  • #2
You haven't specified what the source is connected to... We can't tell if it has additional frequency dependent components connected to its + end, or even if it's a sinusoidal source. You haven't specified where the "output" is to be measured (while we might guess that it's across "R", a guess is not the same as knowing).

Further, you'll have to show some attempt to derive the corner frequency so that we can help. We can't just confirm or deny guesses, as this won't help you in the long run; you need to be able to plan and execute a strategy to solve this sort of problem.

What do your course materials say about the corner (or cutoff) frequency? How is the cutoff frequency related to the transfer function? Can you determine the transfer function for your circuit?
 
  • #3
You're way off in your transfer function.

This circuit has a low-frequency gain of R/11R, then climbs with increasing frequency until it reaches unity gain.

By analysis you should be able to come up with the transfer function incl. the frequency at which the gain starts to climb and the (higher) frequency at which it starts to level off (the asymptotes). Otherwise known as a Bode plot. There is no 'cutoff frequency'. The gain is always 0.091 < gain < 1.0.

I'm assuming the voltage source is grounded at its other end.
 

FAQ: Cutoff frequency in this circuit

What is cutoff frequency?

Cutoff frequency in a circuit refers to the frequency at which the output of the circuit drops to 70.7% (or -3dB) of its maximum value. It is also known as the -3dB frequency.

How is cutoff frequency calculated?

Cutoff frequency can be calculated using the formula fc = 1 / (2πRC), where fc is the cutoff frequency, R is the resistance in ohms, and C is the capacitance in farads.

What is the significance of cutoff frequency in a circuit?

Cutoff frequency is an important parameter in a circuit as it determines the bandwidth of the circuit. It also helps in filtering out unwanted frequencies and allows only desired frequencies to pass through.

What happens if the cutoff frequency is increased?

If the cutoff frequency is increased, the bandwidth of the circuit will also increase, allowing more frequencies to pass through. This can lead to a decrease in the filtering capability of the circuit.

How can the cutoff frequency be adjusted in a circuit?

The cutoff frequency of a circuit can be adjusted by changing the values of the resistance and capacitance components. Increasing the resistance or capacitance will decrease the cutoff frequency, while decreasing them will increase the cutoff frequency.

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