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

AI Thread Summary
In a series circuit with a 600 ohm resistor and a 73 nF capacitor configured as a low pass filter, the frequency that results in a gain of 0.25 is calculated to be approximately 5895 Hz. Conversely, when configured as a high pass filter, the frequency for the same gain is around 88424 Hz. The gain formulas for both configurations are provided, emphasizing the relationship between resistance, capacitance, and frequency. It is suggested to verify the RC layout for the low pass filter to ensure the capacitor effectively shorts high frequencies while allowing low frequencies to pass. Proper configuration is essential for accurate frequency response in both filter types.
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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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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.
 
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