Unity-Gain Bandwidth Calculator

✖Common emitter current gain is highly influenced by two factors: the width of the base region, W, and the relative doping of the base region and the emitter region.ⓘ Common Emitter Current Gain [β]			+10% -10%
✖3-dB frequency is the point at which the signal has been attenuated by 3dB (in a bandpass filter).ⓘ 3-dB Frequency [f_L]			+10% -10%

✖Unity gain bandwidth is simply the frequency of an input signal at which the open-loop gain is equal to 1.ⓘ Unity-Gain Bandwidth [ω_T]

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Unity-Gain Bandwidth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Unity Gain Bandwidth = Common Emitter Current Gain*3-dB Frequency
ω_T = β*f_L
This formula uses 3 Variables

Variables Used

Unity Gain Bandwidth - (Measured in Hertz) - Unity gain bandwidth is simply the frequency of an input signal at which the open-loop gain is equal to 1.
Common Emitter Current Gain - Common emitter current gain is highly influenced by two factors: the width of the base region, W, and the relative doping of the base region and the emitter region.
3-dB Frequency - (Measured in Hertz) - 3-dB frequency is the point at which the signal has been attenuated by 3dB (in a bandpass filter).

STEP 1: Convert Input(s) to Base Unit

Common Emitter Current Gain: 150 --> No Conversion Required
3-dB Frequency: 42 Hertz --> 42 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω_T = β*f_L --> 150*42

Evaluating ... ...

ω_T = 6300

STEP 3: Convert Result to Output's Unit

6300 Hertz --> No Conversion Required

FINAL ANSWER

6300 Hertz <-- Unity Gain Bandwidth

(Calculation completed in 00.004 seconds)

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Credits

Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has created this Calculator and 600+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Unity-Gain Bandwidth

LaTeX Go Unity Gain Bandwidth = Common Emitter Current Gain*3-dB Frequency

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Unity-Gain Bandwidth Formula

LaTeX Go

Unity Gain Bandwidth = Common Emitter Current Gain*3-dB Frequency
ω_T = β*f_L

What is the unity gain frequency?

The frequency at which the output signal is reduced by −3 dB. The amplifier is tested in a unity-gain configuration, with a small signal applied, usually 200 mV p-p. A low-level signal is used to determine bandwidth because this eliminates the effects of the slew rate limit on the signal.

How to Calculate Unity-Gain Bandwidth?

Unity-Gain Bandwidth calculator uses Unity Gain Bandwidth = Common Emitter Current Gain*3-dB Frequency to calculate the Unity Gain Bandwidth, The Unity-gain bandwidth formula is defined as is the frequency at which the output signal is reduced by −3 dB. Unity Gain Bandwidth is denoted by ω_T symbol.

How to calculate Unity-Gain Bandwidth using this online calculator? To use this online calculator for Unity-Gain Bandwidth, enter Common Emitter Current Gain (β) & 3-dB Frequency (f_L) and hit the calculate button. Here is how the Unity-Gain Bandwidth calculation can be explained with given input values -> 6300 = 150*42.

FAQ

What is Unity-Gain Bandwidth?

The Unity-gain bandwidth formula is defined as is the frequency at which the output signal is reduced by −3 dB and is represented as ω_T = β*f_L or Unity Gain Bandwidth = Common Emitter Current Gain*3-dB Frequency. Common emitter current gain is highly influenced by two factors: the width of the base region, W, and the relative doping of the base region and the emitter region & 3-dB frequency is the point at which the signal has been attenuated by 3dB (in a bandpass filter).

How to calculate Unity-Gain Bandwidth?

The Unity-gain bandwidth formula is defined as is the frequency at which the output signal is reduced by −3 dB is calculated using Unity Gain Bandwidth = Common Emitter Current Gain*3-dB Frequency. To calculate Unity-Gain Bandwidth, you need Common Emitter Current Gain (β) & 3-dB Frequency (f_L). With our tool, you need to enter the respective value for Common Emitter Current Gain & 3-dB Frequency 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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