Cut-off Frequency in Bandpass Filter for Parallel 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%
✖Capacitance is the ability of a material object or device to store electric charge.ⓘ Capacitance [C]			+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%

✖Cutoff Frequency is the frequency at which the power of the output signal is half of the power of the input signal.ⓘ Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit [ω_c]

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Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit

Formula

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

Example

`"0.015853Hz"=(1/(2*"149.9Ω"*"80F"))+(sqrt((1/(2*"149.9Ω"*"80F"))^2+1/("50H"*"80F")))`

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Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cutoff Frequency = (1/(2*Resistance*Capacitance))+(sqrt((1/(2*Resistance*Capacitance))^2+1/(Inductance*Capacitance)))
ω_c = (1/(2*R*C))+(sqrt((1/(2*R*C))^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

Cutoff Frequency - (Measured in Hertz) - Cutoff Frequency is the frequency at which the power of the output signal is half of the power of the input signal.
Resistance - (Measured in Ohm) - Resistance is the opposition to current flow in an electrical circuit.
Capacitance - (Measured in Farad) - Capacitance is the ability of a material object or device to store electric charge.
Inductance - (Measured in Henry) - Inductance is the property of an electrical conductor to oppose a change in the electric current flowing through it.

STEP 1: Convert Input(s) to Base Unit

Resistance: 149.9 Ohm --> 149.9 Ohm No Conversion Required
Capacitance: 80 Farad --> 80 Farad No Conversion Required
Inductance: 50 Henry --> 50 Henry No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω_c = (1/(2*R*C))+(sqrt((1/(2*R*C))^2+1/(L*C))) --> (1/(2*149.9*80))+(sqrt((1/(2*149.9*80))^2+1/(50*80)))

Evaluating ... ...

ω_c = 0.0158531377376496

STEP 3: Convert Result to Output's Unit

0.0158531377376496 Hertz --> No Conversion Required

FINAL ANSWER

0.0158531377376496 ≈ 0.015853 Hertz <-- Cutoff 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

Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit Formula

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

What are some applications of parallel RLC bandpass filters?

Parallel RLC bandpass filters find applications in various fields such as telecommunications, audio processing, and signal conditioning. They are used to select specific frequencies from a signal, allowing only a narrow band of frequencies to pass through while attenuating others, crucial in tuning circuits, wireless communication systems, and audio equalizers.

How to Calculate Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit?

Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit calculator uses Cutoff Frequency = (1/(2*Resistance*Capacitance))+(sqrt((1/(2*Resistance*Capacitance))^2+1/(Inductance*Capacitance))) to calculate the Cutoff Frequency, The Cut-off Frequency in Bandpass Filter for Parallel 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. Cutoff Frequency is denoted by ω_c symbol.

How to calculate Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit using this online calculator? To use this online calculator for Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit, enter Resistance (R), Capacitance (C) & Inductance (L) and hit the calculate button. Here is how the Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit calculation can be explained with given input values -> 0.015853 = (1/(2*149.9*80))+(sqrt((1/(2*149.9*80))^2+1/(50*80))).

FAQ

What is Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit?

The Cut-off Frequency in Bandpass Filter for Parallel 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 ω_c = (1/(2*R*C))+(sqrt((1/(2*R*C))^2+1/(L*C))) or Cutoff Frequency = (1/(2*Resistance*Capacitance))+(sqrt((1/(2*Resistance*Capacitance))^2+1/(Inductance*Capacitance))). Resistance is the opposition to current flow in an electrical circuit, Capacitance is the ability of a material object or device to store electric charge & Inductance is the property of an electrical conductor to oppose a change in the electric current flowing through it.

How to calculate Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit?

The Cut-off Frequency in Bandpass Filter for Parallel 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 Cutoff Frequency = (1/(2*Resistance*Capacitance))+(sqrt((1/(2*Resistance*Capacitance))^2+1/(Inductance*Capacitance))). To calculate Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit, you need Resistance (R), Capacitance (C) & Inductance (L). With our tool, you need to enter the respective value for Resistance, Capacitance & Inductance 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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