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

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Cutoff Frequency is the frequency at which the power of the output signal is half of the power of the input signal. Check FAQs

ω c = (\frac{1}{2 \cdot R \cdot C}) + (\sqrt{{(\frac{1}{2 \cdot R \cdot C})}^{2} + \frac{1}{L \cdot C}})

ω_c - Cutoff Frequency?R - Resistance?C - Capacitance?L - Inductance?

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

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Here is how the Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit equation looks like with Values.

Here is how the Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit equation looks like with Units.

Here is how the Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit equation looks like.

0.0159 = (\frac{1}{2 \cdot 149.9 \cdot 80}) + (\sqrt{{(\frac{1}{2 \cdot 149.9 \cdot 80})}^{2} + \frac{1}{50 \cdot 80}})

0.0159Hz = (\frac{1}{2 \cdot 149.9Ω \cdot 80F}) + (\sqrt{{(\frac{1}{2 \cdot 149.9Ω \cdot 80F})}^{2} + \frac{1}{50H \cdot 80F}})

0.0159 = (\frac{1}{2 \cdot 149.9 \cdot 80}) + (\sqrt{{(\frac{1}{2 \cdot 149.9 \cdot 80})}^{2} + \frac{1}{50 \cdot 80}})

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

Follow our step by step solution on how to calculate Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit?

FIRST Step Consider the formula

ω c = (\frac{1}{2 \cdot R \cdot C}) + (\sqrt{{(\frac{1}{2 \cdot R \cdot C})}^{2} + \frac{1}{L \cdot C}})

Next Step Substitute values of Variables

∴

ω c = (\frac{1}{2 \cdot 149.9Ω \cdot 80F}) + (\sqrt{{(\frac{1}{2 \cdot 149.9Ω \cdot 80F})}^{2} + \frac{1}{50H \cdot 80F}})

Next Step Prepare to Evaluate

∴

ω c = (\frac{1}{2 \cdot 149.9 \cdot 80}) + (\sqrt{{(\frac{1}{2 \cdot 149.9 \cdot 80})}^{2} + \frac{1}{50 \cdot 80}})

Next Step Evaluate

∴

ω c = 0.0158531377376496Hz

LAST Step Rounding Answer

∴

ω c = 0.0159Hz

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

Variables

Functions

Cutoff Frequency

Cutoff Frequency is the frequency at which the power of the output signal is half of the power of the input signal.

Symbol: ω_c

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Cutoff Frequency

Resistance

Resistance is the opposition to current flow in an electrical circuit.

Symbol: R

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Resistance

Capacitance

Capacitance is the ability of a material object or device to store electric charge.

Symbol: C

Measurement: CapacitanceUnit: F

Note: Value should be greater than 0.

Formulas to find Capacitance

Inductance

Inductance is the property of an electrical conductor to oppose a change in the electric current flowing through it.

Symbol: L

Measurement: InductanceUnit: H

Note: Value should be greater than 0.

Formulas to find Inductance

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.

Syntax: sqrt(Number)

Other formulas in Power Filters category

Go Corner Frequency in Bandpass Filter for Series RLC Circuit

f c = (\frac{R}{2 \cdot L}) + (\sqrt{{(\frac{R}{2 \cdot L})}^{2} + \frac{1}{L \cdot C}})

Go Keying Parameter of Parallel RLC Bandpass Filter

k p' = \frac{(L + L o) \cdot ω c}{2 \cdot V dc}

Go Keying Index of Parallel RLC Bandpass Filter

k i' = ω c \cdot k p'

Go Gain of Converter of Active Power Filter

K s = \frac{V dc}{2 \cdot ξ}

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

Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit evaluator uses Cutoff Frequency = (1/(2*Resistance*Capacitance))+(sqrt((1/(2*Resistance*Capacitance))^2+1/(Inductance*Capacitance))) to evaluate 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 evaluate Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit using this online evaluator? To use this online evaluator for Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit, enter Resistance (R), Capacitance (C) & Inductance (L) and hit the calculate button.

FAQs on Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit

What is the formula to find Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit?

The formula of Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit is expressed as Cutoff Frequency = (1/(2*Resistance*Capacitance))+(sqrt((1/(2*Resistance*Capacitance))^2+1/(Inductance*Capacitance))). Here is an example- 0.015853 = (1/(2*149.9*80))+(sqrt((1/(2*149.9*80))^2+1/(50*80))).

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

With Resistance (R), Capacitance (C) & Inductance (L) we can find Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit using the formula - Cutoff Frequency = (1/(2*Resistance*Capacitance))+(sqrt((1/(2*Resistance*Capacitance))^2+1/(Inductance*Capacitance))). This formula also uses Square Root (sqrt) function(s).

Can the Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit be negative?

No, the Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit, measured in Frequency cannot be negative.

Which unit is used to measure Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit?

Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit can be measured.

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

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

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

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

Other formulas in Power Filters category

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

FAQs on Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit

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