Bandwidth of Tuned Circuit Calculator

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Fundamentals of Analog Communications

Amplitude Modulation Characteristics

Analog Noise and Power Analysis

DSBSC Modulation

Frequency Modulation

Sideband and Frequency Modulation

✖Resonant Frequency is the frequency at which a system vibrates or oscillates in response to an external force.ⓘ Resonant Frequency [ω_r]			+10% -10%
✖Quality Factor of Tuned Circuit is a measure of its efficiency in storing energy in the magnetic field.ⓘ Quality Factor of Tuned Circuit [Q_tc]			+10% -10%

✖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.ⓘ Bandwidth of Tuned Circuit [BW_tuned]

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Formula

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Bandwidth of Tuned Circuit

Formula

`"BW"_{"tuned"} = "ω"_{"r"}/"Q"_{"tc"}`

Example

`"3.491124Hz"="11.8Hz"/"3.38"`

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Bandwidth of Tuned Circuit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tuned Circuit Bandwidth = Resonant Frequency/Quality Factor of Tuned Circuit
BW_tuned = ω_r/Q_tc
This formula uses 3 Variables

Variables Used

Tuned Circuit Bandwidth - (Measured in Hertz) - 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.
Resonant Frequency - (Measured in Hertz) - Resonant Frequency is the frequency at which a system vibrates or oscillates in response to an external force.
Quality Factor of Tuned Circuit - Quality Factor of Tuned Circuit is a measure of its efficiency in storing energy in the magnetic field.

STEP 1: Convert Input(s) to Base Unit

Resonant Frequency: 11.8 Hertz --> 11.8 Hertz No Conversion Required
Quality Factor of Tuned Circuit: 3.38 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

BW_tuned = ω_r/Q_tc --> 11.8/3.38

Evaluating ... ...

BW_tuned = 3.49112426035503

STEP 3: Convert Result to Output's Unit

3.49112426035503 Hertz --> No Conversion Required

FINAL ANSWER

3.49112426035503 ≈ 3.491124 Hertz <-- Tuned Circuit Bandwidth

(Calculation completed in 00.004 seconds)

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< 24 Fundamentals of Analog Communications Calculators

Modulation Index with respect to Maximum and Minimum Amplitude

Go Modulation Index = (Maximum Amplitude of AM Wave-Minimum Amplitude of AM Wave)/(Maximum Amplitude of AM Wave+Minimum Amplitude of AM Wave)

Image Rejection Ratio

Go Image Rejection Ratio = (Image Frequency/Received Signal Frequency)-(Received Signal Frequency/Image Frequency)

Phase Constant of Distortion Less Line

Go Phase Constant of Distortion Less Line = Angular Velocity*sqrt(Inductance*Capacitance)

Quality Factor of Tuned Circuit

Go Quality Factor of Tuned Circuit = (2*pi*Resonant Frequency*Inductance)/Resistance

Modulation Index with respect to Power

Go Modulation Index = sqrt(2*((Average Total Power of AM Wave/Average Carrier Power of AM Wave)-1))

Cyclic Frequency of Superheterodyne Receiver

Go Cyclic Frequency = 1/(2*pi*sqrt(Inductance*Capacitance))

Rejection Ratio

Go Rejection Ratio = sqrt(1+(Quality Factor of Tuned Circuit^2*Image Rejection Ratio^2))

Image Frequency Rejection Ratio of Superheterodyne Receiver

Go Image Frequency Rejection Ratio = sqrt(1+(Quality Factor)^2*(Coupling Factor)^2)

Phase Velocity of Distortion Less Line

Go Phase Velocity of Distortion Less Line = 1/sqrt(Inductance*Capacitance)

Amplitude of Carrier Signal

Go Amplitude of Carrier Signal = (Maximum Amplitude of AM Wave+Minimum Amplitude of AM Wave)/2

Modulation Index with respect to Amplitude Sensitivity

Go Modulation Index = Amplitude Sensitivity of Modulator*Amplitude of Modulating Signal

Maximum Amplitude

Go Maximum Amplitude of AM Wave = Amplitude of Carrier Signal*(1+Modulation Index^2)

Minimum Amplitude

Go Minimum Amplitude of AM Wave = Amplitude of Carrier Signal*(1-Modulation Index^2)

Intermediate Frequency

Go Intermediate Frequency = (Local Oscillation Frequency-Received Signal Frequency)

Transmission Efficiency with respect to Modulation Index

Go Transmission Efficiency of AM Wave = Modulation Index^2/(2+Modulation Index^2)

Modulation Index

Go Modulation Index = Amplitude of Modulating Signal/Amplitude of Carrier Signal

Bandwidth of Tuned Circuit

Go Tuned Circuit Bandwidth = Resonant Frequency/Quality Factor of Tuned Circuit

Deviation Ratio

Go Deviation Ratio = Maximum Frequency Deviation/Maximum Modulating Frequency

Image Frequency

Go Image Frequency = Received Signal Frequency+(2*Intermediate Frequency)

Carrier Frequency

Go Carrier Frequency = Angular Frequency of Modulating Signal/(2*pi)

Carrier Power

Go Carrier Power = (Amplitude of Carrier Signal^2)/(2*Resistance)

Crest Factor

Go Crest Factor = Peak Value of Signal /RMS Value of Signal

Figure of Merit of Superheterodyne Receiver

Go Figure of Merit = 1/Noise Figure

Noise Figure of Superheterodyne Receiver

Go Noise Figure = 1/Figure of Merit

Bandwidth of Tuned Circuit Formula

Tuned Circuit Bandwidth = Resonant Frequency/Quality Factor of Tuned Circuit
BW_tuned = ω_r/Q_tc

How is tuned circuit bandwidth calculated?

How is tuned circuit bandwidth calculated?
Image result for what is bandwidth of tuned circuit
Bandwidth is measured between the 0.707 current amplitude points. The 0.707 current points correspond to the half power points since P = I2R, (0.707)2 = (0.5). Bandwidth, Δf is measured between the 70.7% amplitude points of series resonant circuit.

How to Calculate Bandwidth of Tuned Circuit?

Bandwidth of Tuned Circuit calculator uses Tuned Circuit Bandwidth = Resonant Frequency/Quality Factor of Tuned Circuit to calculate 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 calculate Bandwidth of Tuned Circuit using this online calculator? To use this online calculator for Bandwidth of Tuned Circuit, enter Resonant Frequency (ω_r) & Quality Factor of Tuned Circuit (Q_tc) and hit the calculate button. Here is how the Bandwidth of Tuned Circuit calculation can be explained with given input values -> 35.75758 = 11.8/3.38.

FAQ

What is Bandwidth of Tuned Circuit?

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 and is represented as BW_tuned = ω_r/Q_tc or Tuned Circuit Bandwidth = Resonant Frequency/Quality Factor of Tuned Circuit. Resonant Frequency is the frequency at which a system vibrates or oscillates in response to an external force & Quality Factor of Tuned Circuit is a measure of its efficiency in storing energy in the magnetic field.

How to calculate Bandwidth of Tuned Circuit?

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 is calculated using Tuned Circuit Bandwidth = Resonant Frequency/Quality Factor of Tuned Circuit. To calculate Bandwidth of Tuned Circuit, you need Resonant Frequency (ω_r) & Quality Factor of Tuned Circuit (Q_tc). With our tool, you need to enter the respective value for Resonant Frequency & Quality Factor of Tuned Circuit 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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