## 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)))
ωc = (1/(2*R*C))+(sqrt((1/(2*R*C))^2+1/(L*C)))
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - Square root function, 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
Inductance: 50 Henry --> 50 Henry No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ωc = (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 ... ...
ωc = 0.0158531377376496
STEP 3: Convert Result to Output's Unit
0.0158531377376496 Hertz --> No Conversion Required
0.0158531377376496 0.015853 Hertz <-- Cutoff 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
Cutoff Frequency = (1/(2*Resistance*Capacitance))+(sqrt((1/(2*Resistance*Capacitance))^2+1/(Inductance*Capacitance)))
Corner Frequency in Bandpass Filter for Series RLC Circuit
Corner Frequency = (Resistance/(2*Inductance))+(sqrt((Resistance/(2*Inductance))^2+1/(Inductance*Capacitance)))
Phase Angle of Low Pass RC Filter
Phase Angle = 2*arctan(2*pi*Frequency*Resistance*Capacitance)
Keying Parameter of Parallel RLC Bandpass Filter
Keying Parameter = ((Inductance+Leakage Inductance)*Cutoff Frequency)/(2*DC Voltage)
Resonant Frequency of Passive Filter
Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance))
Tuned Factor of Hybrid Filter
Tuned Factor = (Angular Frequency-Angular Resonant Frequency)/Angular Resonant Frequency
Voltage across Passive Filter Capacitor
Voltage across Passive Filter Capacitor = Filter Transfer Function*Fundamental Frequency Component
Angular Resonant Frequency of Passive Filter
Angular Resonant Frequency = (Resistance*Quality Factor)/Inductance
Quality Factor of Passive Filter
Quality Factor = (Angular Resonant Frequency*Inductance)/Resistance
Resistance of Passive Filter
Resistance = (Angular Resonant Frequency*Inductance)/Quality Factor
Slope of Triangular Waveform of Active Power Filter
Triangular Waveform Slope = 4*Triangular Waveform Amplitude*Triangular Waveform Frequency
Gain of Active Power Filter
Active Power Filter Gain = Voltage Harmonic Waveform/Harmonic Current Component
Gain of Converter of Active Power Filter
Gain of Converter = DC Voltage/(2*Triangular Waveform Amplitude)
Amplitude of Active Power Filter
Triangular Waveform Amplitude = DC Voltage/(2*Gain of Converter)
Keying Index of Parallel RLC Bandpass Filter
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)))
ωc = (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 ωc 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 ωc = (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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