Bandwidth of Tuned Circuit Calculator

✖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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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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BMS College Of Engineering (BMSCE), Banglore

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BMS College of Engineering (BMSCE), Bangalore

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Bandwidth of Tuned Circuit Formula

LaTeX Go

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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