Unity-Gain Bandwidth Solution

STEP 0: Pre-Calculation Summary
Formula Used
Unity Gain Bandwidth = Common Emitter Current Gain*3-dB Frequency
ωT = β*fL
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
ωT = β*fL --> 150*42
Evaluating ... ...
ωT = 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)

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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4 Response Analysis Calculators

Power Drain from Positive Sine Wave
Go Power Drained = (Peak Voltage*Supply Voltage)/(pi*Load Resistance)
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Go Peak Voltage = (pi*Power Drained*Load Resistance)/Supply Voltage
Unity-Gain Bandwidth
Go Unity Gain Bandwidth = Common Emitter Current Gain*3-dB Frequency
Transition Frequency
Go Transition Frequency = 1/sqrt(Constant B)

Unity-Gain Bandwidth Formula

Unity Gain Bandwidth = Common Emitter Current Gain*3-dB Frequency
ωT = β*fL

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 ωT 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 (fL) 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 ωT = β*fL 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 (fL). 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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