Impedance and Frequency- directly or indirectly related?

In summary, the conversation discusses the relationship between impedance and frequency and whether they are directly or indirectly related. The formula for impedance (Z) is given as p/v, with p representing pressure and v representing velocity. It is then further simplified to Z = p / (f(lamda)), with f representing frequency and lamda representing wavelength. The question is raised whether impedance is inversely proportional to frequency.
  • #1
Dunkaroos
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Impedance and Frequency- directly or indirectly related?


I think it's inversely. Am I correct?
Let Impedance =Z
p==pressure
v=velocity

Z = p/v and v=f(lamda)

So Z= p / (f(lamda))

Isn't Impedance inversely proportional to frequency?
 
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  • #2
Yeah, I was totally confused by your initial thread:

https://www.physicsforums.com/showthread.php?t=134718

In general, we discourage double-posting here on the PF, but we'll let you get away with it this time if you DEFINE WHAT THE HECK YOU MEAN BY IMPEDANCE. Is it the characteristic impedance for a freely propagating EM wave, or some quantity for a physical tension wave propagating on a string or what?

You need to be more specific in your problem statement. Please.
 
  • #3


Yes, you are correct. Impedance and frequency are indirectly related. This means that as one increases, the other decreases. In this case, impedance is inversely proportional to frequency. As frequency increases, impedance decreases and vice versa. This relationship can be seen in the equation Z = p / (f * λ), where frequency is in the denominator. This shows that as frequency increases, impedance decreases. This relationship is important in understanding the behavior of electrical circuits and acoustic systems, where impedance and frequency play crucial roles.
 

FAQ: Impedance and Frequency- directly or indirectly related?

What is impedance?

Impedance is a measure of the opposition to an alternating current (AC) in a circuit. It is represented by the symbol Z and is measured in ohms (Ω).

How is impedance related to frequency?

Impedance and frequency are directly proportional, meaning that as frequency increases, impedance also increases. This is due to the fact that as the frequency of an alternating current increases, the opposition to the current also increases, leading to a higher impedance.

What is the difference between impedance and resistance?

Impedance and resistance are both measures of opposition to current flow, but they differ in their representation of AC and DC circuits. Resistance only applies to DC circuits, while impedance applies to both AC and DC circuits. Additionally, impedance takes into account both resistance and reactance, which is the opposition caused by capacitive or inductive components in a circuit.

How do you calculate impedance?

Impedance can be calculated by using the formula Z = √(R^2 + X^2), where R is the resistance and X is the reactance. The reactance can further be calculated using the formula X = 1/(2πfC) for capacitive circuits and X = 2πfL for inductive circuits, where f is the frequency, C is the capacitance, and L is the inductance.

Why is impedance important in electronic circuits?

Impedance is important in electronic circuits because it affects the performance and efficiency of the circuit. It can also help determine the maximum power that can be transferred through the circuit. Additionally, impedance matching is essential in order to prevent signal loss and distortion, and to ensure optimal performance of the circuit.

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