Unity-Gain Bandwidth of BJT Solution

STEP 0: Pre-Calculation Summary
Formula Used
Unity-Gain Bandwidth = Transconductance/(Emitter-Base Capacitance+Collector-Base Junction Capacitance)
ωT = Gm/(Ceb+Ccb)
This formula uses 4 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.
Transconductance - (Measured in Siemens) - Transconductance is the ratio of the change in current at the output terminal to the change in the voltage at the input terminal of an active device.
Emitter-Base Capacitance - (Measured in Farad) - Emitter-base capacitance is the capacitance between the emitter and the base.
Collector-Base Junction Capacitance - (Measured in Farad) - Collector-Base Junction Capacitance in active mode is reverse biased and is the capacitance between collector and base.
STEP 1: Convert Input(s) to Base Unit
Transconductance: 1.72 Millisiemens --> 0.00172 Siemens (Check conversion ​here)
Emitter-Base Capacitance: 1.5 Microfarad --> 1.5E-06 Farad (Check conversion ​here)
Collector-Base Junction Capacitance: 1.2 Microfarad --> 1.2E-06 Farad (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ωT = Gm/(Ceb+Ccb) --> 0.00172/(1.5E-06+1.2E-06)
Evaluating ... ...
ωT = 637.037037037037
STEP 3: Convert Result to Output's Unit
637.037037037037 Hertz --> No Conversion Required
FINAL ANSWER
637.037037037037 637.037 Hertz <-- Unity-Gain Bandwidth
(Calculation completed in 00.020 seconds)

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Birsa Institute of Technology (BIT), Sindri
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Internal Capacitive Effects and High Frequency Model Calculators

Small-Signal Diffusion Capacitance of BJT
​ LaTeX ​ Go Emitter-Base Capacitance = Device Constant*(Collector Current/Threshold Voltage)
Small-Signal Diffusion Capacitance
​ LaTeX ​ Go Emitter-Base Capacitance = Device Constant*Transconductance
Stored Electron Charge in Base of BJT
​ LaTeX ​ Go Stored Electron Charge = Device Constant*Collector Current
Base-Emitter Junction Capacitance
​ LaTeX ​ Go Base–Emitter Junction Capacitance = 2*Emitter-Base Capacitance

BJT Circuit Calculators

Total Power Dissipated in BJT
​ LaTeX ​ Go Power = Collector-Emitter Voltage*Collector Current+Base-Emitter Voltage*Base Current
Common Mode Rejection Ratio
​ LaTeX ​ Go Common Mode Rejection Ratio = 20*log10(Differential Mode Gain/Common Mode Gain)
Common-Base Current Gain
​ LaTeX ​ Go Common-Base Current Gain = Common Emitter Current Gain/(Common Emitter Current Gain+1)
Intrinsic Gain of BJT
​ LaTeX ​ Go Intrinsic Gain = Early Voltage/Thermal Voltage

Unity-Gain Bandwidth of BJT Formula

​LaTeX ​Go
Unity-Gain Bandwidth = Transconductance/(Emitter-Base Capacitance+Collector-Base Junction Capacitance)
ωT = Gm/(Ceb+Ccb)

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 of BJT?

Unity-Gain Bandwidth of BJT calculator uses Unity-Gain Bandwidth = Transconductance/(Emitter-Base Capacitance+Collector-Base Junction Capacitance) to calculate the Unity-Gain Bandwidth, The Unity-gain bandwidth of BJT formula is defined as 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 of BJT using this online calculator? To use this online calculator for Unity-Gain Bandwidth of BJT, enter Transconductance (Gm), Emitter-Base Capacitance (Ceb) & Collector-Base Junction Capacitance (Ccb) and hit the calculate button. Here is how the Unity-Gain Bandwidth of BJT calculation can be explained with given input values -> 637.037 = 0.00172/(1.5E-06+1.2E-06).

FAQ

What is Unity-Gain Bandwidth of BJT?
The Unity-gain bandwidth of BJT formula is defined as the frequency at which the output signal is reduced by −3 db and is represented as ωT = Gm/(Ceb+Ccb) or Unity-Gain Bandwidth = Transconductance/(Emitter-Base Capacitance+Collector-Base Junction Capacitance). Transconductance is the ratio of the change in current at the output terminal to the change in the voltage at the input terminal of an active device, Emitter-base capacitance is the capacitance between the emitter and the base & Collector-Base Junction Capacitance in active mode is reverse biased and is the capacitance between collector and base.
How to calculate Unity-Gain Bandwidth of BJT?
The Unity-gain bandwidth of BJT formula is defined as the frequency at which the output signal is reduced by −3 db is calculated using Unity-Gain Bandwidth = Transconductance/(Emitter-Base Capacitance+Collector-Base Junction Capacitance). To calculate Unity-Gain Bandwidth of BJT, you need Transconductance (Gm), Emitter-Base Capacitance (Ceb) & Collector-Base Junction Capacitance (Ccb). With our tool, you need to enter the respective value for Transconductance, Emitter-Base Capacitance & Collector-Base Junction Capacitance 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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