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Quality Factor of AM Receiver Formula

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Quality Factor is a dimensionless parameter that measures the receiver's ability to discriminate between signals at different frequencies. Check FAQs

Q = \frac{1}{2 \cdot π} \cdot \sqrt{\frac{L}{C}}

Q - Quality Factor?L - Inductance?C - Capacitance?π - Archimedes' constant?

Quality Factor of AM Receiver Example

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Here is how the Quality Factor of AM Receiver equation looks like with Values.

Here is how the Quality Factor of AM Receiver equation looks like with Units.

Here is how the Quality Factor of AM Receiver equation looks like.

0.2194 = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{5.7}{3}}

0.2194 = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{5.7H}{3F}}

0.2194 = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{5.7}{3}}

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Quality Factor of AM Receiver Solution

Follow our step by step solution on how to calculate Quality Factor of AM Receiver?

FIRST Step Consider the formula

Q = \frac{1}{2 \cdot π} \cdot \sqrt{\frac{L}{C}}

Next Step Substitute values of Variables

∴

Q = \frac{1}{2 \cdot π} \cdot \sqrt{\frac{5.7H}{3F}}

Next Step Substitute values of Constants

∴

Q = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{5.7H}{3F}}

Next Step Prepare to Evaluate

∴

Q = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{5.7}{3}}

Next Step Evaluate

∴

Q = 0.219379949471483

LAST Step Rounding Answer

∴

Q = 0.2194

Quality Factor of AM Receiver Formula Elements

Variables

Constants

Functions

Quality Factor

Quality Factor is a dimensionless parameter that measures the receiver's ability to discriminate between signals at different frequencies.

Symbol: Q

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Quality Factor

Inductance

Inductance is the tendency of an electric 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

Capacitance

Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.

Symbol: C

Measurement: CapacitanceUnit: F

Note: Value should be greater than 0.

Formulas to find Capacitance

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 Amplitude Modulation Characteristics category

Go Bandwidth of AM wave

BW am = 2 \cdot f m

Go Magnitude of Modulating Signal

A = \frac{A max - A min}{2}

Go Amplitude Sensitivity of Modulator

K a = \frac{1}{A c}

Go Maximum Amplitude of AM Wave

A max = A c \cdot (1 + μ^{2})

How to Evaluate Quality Factor of AM Receiver?

Quality Factor of AM Receiver evaluator uses Quality Factor = 1/(2*pi)*sqrt(Inductance/Capacitance) to evaluate the Quality Factor, The Quality Factor of AM Receiver formula is defined as ratio of the energy stored in the tuned circuit to the energy lost in one cycle of oscillation. It is a measure of the selectivity and sensitivity of the receiver. Quality Factor is denoted by Q symbol.

How to evaluate Quality Factor of AM Receiver using this online evaluator? To use this online evaluator for Quality Factor of AM Receiver, enter Inductance (L) & Capacitance (C) and hit the calculate button.

FAQs on Quality Factor of AM Receiver

What is the formula to find Quality Factor of AM Receiver?

The formula of Quality Factor of AM Receiver is expressed as Quality Factor = 1/(2*pi)*sqrt(Inductance/Capacitance). Here is an example- 0.021938 = 1/(2*pi)*sqrt(5.7/3).

How to calculate Quality Factor of AM Receiver?

With Inductance (L) & Capacitance (C) we can find Quality Factor of AM Receiver using the formula - Quality Factor = 1/(2*pi)*sqrt(Inductance/Capacitance). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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Quality Factor of AM Receiver Formula

Quality Factor of AM Receiver Example

Quality Factor of AM Receiver Solution

Quality Factor of AM Receiver Formula Elements

Other formulas in Amplitude Modulation Characteristics category

How to Evaluate Quality Factor of AM Receiver?

FAQs on Quality Factor of AM Receiver

Variable Name