Corner Frequency in Bandpass Filter for Series RLC Circuit Solution

STEP 0: Pre-Calculation Summary
Formula Used
Corner Frequency = (Resistance/(2*Inductance))+(sqrt((Resistance/(2*Inductance))^2+1/(Inductance*Capacitance)))
fc = (R/(2*L))+(sqrt((R/(2*L))^2+1/(L*C)))
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - Square root function, sqrt(Number)
Variables Used
Corner Frequency - (Measured in Hertz) - Corner Frequency is the frequency at which the gain or power output of a circuit has fallen to a given proportion of its value at low frequencies.
Resistance - (Measured in Ohm) - Resistance is the opposition to current flow in an electrical circuit.
Inductance - (Measured in Henry) - Inductance is the property of an electrical conductor to oppose a change in the electric current flowing through it.
Capacitance - (Measured in Farad) - Capacitance is the ability of a material object or device to store electric charge.
STEP 1: Convert Input(s) to Base Unit
Resistance: 149.9 Ohm --> 149.9 Ohm No Conversion Required
Inductance: 50 Henry --> 50 Henry No Conversion Required
Capacitance: 80 Farad --> 80 Farad No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fc = (R/(2*L))+(sqrt((R/(2*L))^2+1/(L*C))) --> (149.9/(2*50))+(sqrt((149.9/(2*50))^2+1/(50*80)))
Evaluating ... ...
fc = 2.99808338660663
STEP 3: Convert Result to Output's Unit
2.99808338660663 Hertz --> No Conversion Required
FINAL ANSWER
2.99808338660663 2.998083 Hertz <-- Corner Frequency
(Calculation completed in 00.020 seconds)

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15 Power Filters Calculators

Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit
Go Cutoff Frequency = (1/(2*Resistance*Capacitance))+(sqrt((1/(2*Resistance*Capacitance))^2+1/(Inductance*Capacitance)))
Corner Frequency in Bandpass Filter for Series RLC Circuit
Go Corner Frequency = (Resistance/(2*Inductance))+(sqrt((Resistance/(2*Inductance))^2+1/(Inductance*Capacitance)))
Phase Angle of Low Pass RC Filter
Go Phase Angle = 2*arctan(2*pi*Frequency*Resistance*Capacitance)
Keying Parameter of Parallel RLC Bandpass Filter
Go Keying Parameter = ((Inductance+Leakage Inductance)*Cutoff Frequency)/(2*DC Voltage)
Resonant Frequency of Passive Filter
Go Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance))
Tuned Factor of Hybrid Filter
Go Tuned Factor = (Angular Frequency-Angular Resonant Frequency)/Angular Resonant Frequency
Voltage across Passive Filter Capacitor
Go Voltage across Passive Filter Capacitor = Filter Transfer Function*Fundamental Frequency Component
Angular Resonant Frequency of Passive Filter
Go Angular Resonant Frequency = (Resistance*Quality Factor)/Inductance
Quality Factor of Passive Filter
Go Quality Factor = (Angular Resonant Frequency*Inductance)/Resistance
Resistance of Passive Filter
Go Resistance = (Angular Resonant Frequency*Inductance)/Quality Factor
Slope of Triangular Waveform of Active Power Filter
Go Triangular Waveform Slope = 4*Triangular Waveform Amplitude*Triangular Waveform Frequency
Gain of Active Power Filter
Go Active Power Filter Gain = Voltage Harmonic Waveform/Harmonic Current Component
Gain of Converter of Active Power Filter
Go Gain of Converter = DC Voltage/(2*Triangular Waveform Amplitude)
Amplitude of Active Power Filter
Go Triangular Waveform Amplitude = DC Voltage/(2*Gain of Converter)
Keying Index of Parallel RLC Bandpass Filter
Go Keying Index = Cutoff Frequency*Keying Parameter

Corner Frequency in Bandpass Filter for Series RLC Circuit Formula

Corner Frequency = (Resistance/(2*Inductance))+(sqrt((Resistance/(2*Inductance))^2+1/(Inductance*Capacitance)))
fc = (R/(2*L))+(sqrt((R/(2*L))^2+1/(L*C)))

What is the effect of increasing the resistance on the corner frequency?

Increasing the resistance will decrease the corner frequency. This is because the resistance damps the filter, which reduces the bandwidth and lowers the corner frequency.

How to Calculate Corner Frequency in Bandpass Filter for Series RLC Circuit?

Corner Frequency in Bandpass Filter for Series RLC Circuit calculator uses Corner Frequency = (Resistance/(2*Inductance))+(sqrt((Resistance/(2*Inductance))^2+1/(Inductance*Capacitance))) to calculate the Corner Frequency, The Corner Frequency in Bandpass Filter for Series RLC Circuit formula is defined as the frequency at which the power of the output signal is half of the power of the input signal. It is often referred to as the -3 dB point, because the power level of the output signal is 3 dB lower than the power level of the input signal at the cutoff frequency. Corner Frequency is denoted by fc symbol.

How to calculate Corner Frequency in Bandpass Filter for Series RLC Circuit using this online calculator? To use this online calculator for Corner Frequency in Bandpass Filter for Series RLC Circuit, enter Resistance (R), Inductance (L) & Capacitance (C) and hit the calculate button. Here is how the Corner Frequency in Bandpass Filter for Series RLC Circuit calculation can be explained with given input values -> 2.998083 = (149.9/(2*50))+(sqrt((149.9/(2*50))^2+1/(50*80))).

FAQ

What is Corner Frequency in Bandpass Filter for Series RLC Circuit?
The Corner Frequency in Bandpass Filter for Series RLC Circuit formula is defined as the frequency at which the power of the output signal is half of the power of the input signal. It is often referred to as the -3 dB point, because the power level of the output signal is 3 dB lower than the power level of the input signal at the cutoff frequency and is represented as fc = (R/(2*L))+(sqrt((R/(2*L))^2+1/(L*C))) or Corner Frequency = (Resistance/(2*Inductance))+(sqrt((Resistance/(2*Inductance))^2+1/(Inductance*Capacitance))). Resistance is the opposition to current flow in an electrical circuit, Inductance is the property of an electrical conductor to oppose a change in the electric current flowing through it & Capacitance is the ability of a material object or device to store electric charge.
How to calculate Corner Frequency in Bandpass Filter for Series RLC Circuit?
The Corner Frequency in Bandpass Filter for Series RLC Circuit formula is defined as the frequency at which the power of the output signal is half of the power of the input signal. It is often referred to as the -3 dB point, because the power level of the output signal is 3 dB lower than the power level of the input signal at the cutoff frequency is calculated using Corner Frequency = (Resistance/(2*Inductance))+(sqrt((Resistance/(2*Inductance))^2+1/(Inductance*Capacitance))). To calculate Corner Frequency in Bandpass Filter for Series RLC Circuit, you need Resistance (R), Inductance (L) & Capacitance (C). With our tool, you need to enter the respective value for Resistance, Inductance & Capacitance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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