AC Power RC series circuit low pass filter, find frequency given gain.

In summary, the circuit consists of an ac power supply, a 600 ohm resistor, and a 73 nF capacitor. When configured as a low pass filter, the gain will be 0.25 at a frequency of 5895 Hz. For a high pass filter, the gain will be 0.25 at a frequency of 88424 Hz. It is important to ensure the correct RC layout for the low pass filter to achieve the desired result.
  • #1
dfs730
10
0
1. You have a series circuit consisting of a ac power supply, a 600 ohm resistor and a 73 nF capacitor.
If the circuit is configured as a low pass filter, what frequency will cause the gain to be 0.25?

2. If the circuit is configured as a high pass filter, what frequency will cause the gain to be 0.25?


Vout/Vin = R / (R^2 + (1/ωC)^2)^(1/2) low pass filter


Vout/Vin = (1/ωC) / (R^2 + (1/ωC)^2)^(1/2)


I tried to sub in for R,C, and gain (Vin/Vout) and got 5895 Hz for #1 and 88424 Hz for #2

any suggestions?
 
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  • #2
Check your RC layout for the low pass filter. The capacitor should be in a position to short out high frequencies, and allow low frequencies to pass.
 

1. What is an AC Power RC series circuit low pass filter?

An AC Power RC series circuit low pass filter is a type of electronic filter that allows low frequency signals to pass through while attenuating high frequency signals. It is commonly used in electronic devices to remove unwanted high frequency noise from AC power sources.

2. How does an AC Power RC series circuit low pass filter work?

An AC Power RC series circuit low pass filter consists of a resistor and capacitor connected in series. The resistor and capacitor act as a voltage divider, allowing low frequency signals to pass through while blocking high frequency signals.

3. What is the gain of an AC Power RC series circuit low pass filter?

The gain of an AC Power RC series circuit low pass filter is determined by the ratio of the output voltage to the input voltage. It is typically expressed in decibels (dB) and decreases as the frequency increases.

4. How do you calculate the frequency given the gain of an AC Power RC series circuit low pass filter?

The frequency can be calculated using the formula f = 1 / (2πRC√(10^(Gain/10))), where R is the resistance in ohms, C is the capacitance in farads, and Gain is the desired gain in decibels.

5. What are the applications of an AC Power RC series circuit low pass filter?

An AC Power RC series circuit low pass filter is commonly used in electronic devices to filter out high frequency noise from AC power sources. It can also be used in audio systems to remove unwanted high frequency signals and in communication systems to improve signal quality.

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