Corner Frequency in Bandpass Filter for Series RLC Circuit Calculator

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Power Filters

Rectifier Circuits

✖Resistance is the opposition to current flow in an electrical circuit.ⓘ Resistance [R]			+10% -10%
✖Inductance is the property of an electrical conductor to oppose a change in the electric current flowing through it.ⓘ Inductance [L]			+10% -10%
✖Capacitance is the ability of a material object or device to store electric charge.ⓘ Capacitance [C]			+10% -10%

✖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.ⓘ Corner Frequency in Bandpass Filter for Series RLC Circuit [f_c]

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Formula

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Corner Frequency in Bandpass Filter for Series RLC Circuit

Formula

`"f"_{"c"} = ("R"/(2*"L"))+(sqrt(("R"/(2*"L"))^2+1/("L"*"C")))`

Example

`"2.998083Hz"=("149.9Ω"/(2*"50H"))+(sqrt(("149.9Ω"/(2*"50H"))^2+1/("50H"*"80F")))`

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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)))
f_c = (R/(2*L))+(sqrt((R/(2*L))^2+1/(L*C)))
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., 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

f_c = (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 ... ...

f_c = 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 00.004 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)))
f_c = (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 f_c 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 f_c = (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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