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Corner Frequency Formula:
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Corner frequency (also known as cutoff frequency or break frequency) is the frequency at which the power of a signal is reduced to half (-3 dB) of its maximum value. It's a critical parameter in filter design and signal processing applications.
The calculator uses the corner frequency formula:
Where:
Explanation: This formula calculates the -3 dB point for a simple RC (resistor-capacitor) filter circuit, where the output signal power is reduced to half of the input power.
Details: Accurate corner frequency calculation is essential for designing filters, audio equipment, communication systems, and any electronic circuit where frequency response is critical. It helps engineers determine the bandwidth and frequency characteristics of circuits.
Tips: Enter resistance in ohms and capacitance in farads. All values must be valid (resistance > 0, capacitance > 0). Note that 1 farad = 1,000,000 microfarads (μF).
Q1: What is the difference between corner frequency and cutoff frequency?
A: In most contexts, these terms are used interchangeably to refer to the -3 dB point where the signal power is reduced by half.
Q2: How does corner frequency relate to time constant?
A: The corner frequency is inversely related to the time constant (τ = RC). Specifically, f_c = 1/(2πτ).
Q3: Can this formula be used for both high-pass and low-pass filters?
A: Yes, the same formula applies to both first-order high-pass and low-pass RC filters.
Q4: What happens if I use different units for capacitance?
A: The calculator requires capacitance in farads. Common conversions: 1 μF = 0.000001 F, 1 nF = 0.000000001 F, 1 pF = 0.000000000001 F.
Q5: How accurate is this calculation for real-world circuits?
A: This provides a theoretical calculation. Real-world factors like component tolerances, parasitic elements, and temperature variations may affect actual performance.