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Bandwidth of Tuned Circuit Formula

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Tuned Circuit Bandwidth is the range of frequencies at which the voltage gain of the tuned amplifier falls to 70.7% of the maximum gain. Check FAQs

BW tuned = \frac{ω r}{Q tc}

BW_tuned - Tuned Circuit Bandwidth?ω_r - Resonant Frequency?Q_tc - Quality Factor of Tuned Circuit?

Bandwidth of Tuned Circuit Example

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Here is how the Bandwidth of Tuned Circuit equation looks like with Values.

Here is how the Bandwidth of Tuned Circuit equation looks like with Units.

Here is how the Bandwidth of Tuned Circuit equation looks like.

3.4911 = \frac{11.8}{3.38}

3.4911Hz = \frac{11.8Hz}{3.38}

3.4911 = \frac{11.8}{3.38}

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Bandwidth of Tuned Circuit Solution

Follow our step by step solution on how to calculate Bandwidth of Tuned Circuit?

FIRST Step Consider the formula

BW tuned = \frac{ω r}{Q tc}

Next Step Substitute values of Variables

∴

BW tuned = \frac{11.8Hz}{3.38}

Next Step Prepare to Evaluate

∴

BW tuned = \frac{11.8}{3.38}

Next Step Evaluate

∴

BW tuned = 3.49112426035503Hz

LAST Step Rounding Answer

∴

BW tuned = 3.4911Hz

Bandwidth of Tuned Circuit Formula Elements

Variables

Tuned Circuit Bandwidth

Tuned Circuit Bandwidth is the range of frequencies at which the voltage gain of the tuned amplifier falls to 70.7% of the maximum gain.

Symbol: BW_tuned

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Tuned Circuit Bandwidth

Resonant Frequency

Resonant Frequency is the frequency at which a system vibrates or oscillates in response to an external force.

Symbol: ω_r

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Resonant Frequency

Quality Factor of Tuned Circuit

Quality Factor of Tuned Circuit is a measure of its efficiency in storing energy in the magnetic field.

Symbol: Q_tc

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Quality Factor of Tuned Circuit

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How to Evaluate Bandwidth of Tuned Circuit?

Bandwidth of Tuned Circuit evaluator uses Tuned Circuit Bandwidth = Resonant Frequency/Quality Factor of Tuned Circuit to evaluate the Tuned Circuit Bandwidth, Bandwidth of Tuned Circuit is the range of frequencies at which the voltage gain of the tuned amplifier falls to 70.7% of the maximum gain. Tuned Circuit Bandwidth is denoted by BW_tuned symbol.

How to evaluate Bandwidth of Tuned Circuit using this online evaluator? To use this online evaluator for Bandwidth of Tuned Circuit, enter Resonant Frequency (ω_r) & Quality Factor of Tuned Circuit (Q_tc) and hit the calculate button.

FAQs on Bandwidth of Tuned Circuit

What is the formula to find Bandwidth of Tuned Circuit?

The formula of Bandwidth of Tuned Circuit is expressed as Tuned Circuit Bandwidth = Resonant Frequency/Quality Factor of Tuned Circuit. Here is an example- 35.75758 = 11.8/3.38.

How to calculate Bandwidth of Tuned Circuit?

With Resonant Frequency (ω_r) & Quality Factor of Tuned Circuit (Q_tc) we can find Bandwidth of Tuned Circuit using the formula - Tuned Circuit Bandwidth = Resonant Frequency/Quality Factor of Tuned Circuit.

Can the Bandwidth of Tuned Circuit be negative?

No, the Bandwidth of Tuned Circuit, measured in Frequency cannot be negative.

Which unit is used to measure Bandwidth of Tuned Circuit?

Bandwidth of Tuned Circuit is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Bandwidth of Tuned Circuit can be measured.

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Bandwidth of Tuned Circuit Formula

Bandwidth of Tuned Circuit Example

Bandwidth of Tuned Circuit Solution

Bandwidth of Tuned Circuit Formula Elements

Other formulas in Fundamentals of Analog Communications category

How to Evaluate Bandwidth of Tuned Circuit?

FAQs on Bandwidth of Tuned Circuit

Variable Name