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Unity-Gain Bandwidth of BJT Formula

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Unity-Gain Bandwidth is simply the frequency of an input signal at which the open-loop gain is equal to 1. Check FAQs

ω T = \frac{G m}{C eb + C cb}

ω_T - Unity-Gain Bandwidth?G_m - Transconductance?C_eb - Emitter-Base Capacitance?C_cb - Collector-Base Junction Capacitance?

Unity-Gain Bandwidth of BJT Example

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Here is how the Unity-Gain Bandwidth of BJT equation looks like with Values.

Here is how the Unity-Gain Bandwidth of BJT equation looks like with Units.

Here is how the Unity-Gain Bandwidth of BJT equation looks like.

637.037 = \frac{1.72}{1.5 + 1.2}

637.037Hz = \frac{1.72mS}{1.5μF + 1.2μF}

637.037 = \frac{1.72}{1.5 + 1.2}

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Unity-Gain Bandwidth of BJT Solution

Follow our step by step solution on how to calculate Unity-Gain Bandwidth of BJT?

FIRST Step Consider the formula

ω T = \frac{G m}{C eb + C cb}

Next Step Substitute values of Variables

∴

ω T = \frac{1.72mS}{1.5μF + 1.2μF}

Next Step Convert Units

∴

ω T = \frac{0.0017S}{1.5E-6F + 1.2E-6F}

Next Step Prepare to Evaluate

∴

ω T = \frac{0.0017}{1.5E-6 + 1.2E-6}

Next Step Evaluate

∴

ω T = 637.037037037037Hz

LAST Step Rounding Answer

∴

ω T = 637.037Hz

Unity-Gain Bandwidth of BJT Formula Elements

Variables

Unity-Gain Bandwidth

Unity-Gain Bandwidth is simply the frequency of an input signal at which the open-loop gain is equal to 1.

Symbol: ω_T

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Unity-Gain Bandwidth

Transconductance

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.

Symbol: G_m

Measurement: Electric ConductanceUnit: mS

Note: Value can be positive or negative.

Formulas to find Transconductance

Emitter-Base Capacitance

Emitter-base capacitance is the capacitance between the emitter and the base.

Symbol: C_eb

Measurement: CapacitanceUnit: μF

Note: Value can be positive or negative.

Formulas to find Emitter-Base Capacitance

Collector-Base Junction Capacitance

Collector-Base Junction Capacitance in active mode is reverse biased and is the capacitance between collector and base.

Symbol: C_cb

Measurement: CapacitanceUnit: μF

Note: Value should be greater than 0.

Formulas to find Collector-Base Junction Capacitance

Other formulas in Internal Capacitive Effects and High Frequency Model category

Go Common-Base Current Gain

α = \frac{β}{β + 1}

Go Intrinsic Gain of BJT

A o = \frac{V A}{V t}

Go Total Power Dissipated in BJT

P = V CE \cdot I c + V BE \cdot I B

Go Common Mode Rejection Ratio

CMRR = 20 \cdot \log 10 (\frac{A d}{A cm})

How to Evaluate Unity-Gain Bandwidth of BJT?

Unity-Gain Bandwidth of BJT evaluator uses Unity-Gain Bandwidth = Transconductance/(Emitter-Base Capacitance+Collector-Base Junction Capacitance) to evaluate 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 ω_T symbol.

How to evaluate Unity-Gain Bandwidth of BJT using this online evaluator? To use this online evaluator for Unity-Gain Bandwidth of BJT, enter Transconductance (G_m), Emitter-Base Capacitance (C_eb) & Collector-Base Junction Capacitance (C_cb) and hit the calculate button.

FAQs on Unity-Gain Bandwidth of BJT

What is the formula to find Unity-Gain Bandwidth of BJT?

The formula of Unity-Gain Bandwidth of BJT is expressed as Unity-Gain Bandwidth = Transconductance/(Emitter-Base Capacitance+Collector-Base Junction Capacitance). Here is an example- 637.037 = 0.00172/(1.5E-06+1.2E-06).

How to calculate Unity-Gain Bandwidth of BJT?

With Transconductance (G_m), Emitter-Base Capacitance (C_eb) & Collector-Base Junction Capacitance (C_cb) we can find Unity-Gain Bandwidth of BJT using the formula - Unity-Gain Bandwidth = Transconductance/(Emitter-Base Capacitance+Collector-Base Junction Capacitance).

Can the Unity-Gain Bandwidth of BJT be negative?

Yes, the Unity-Gain Bandwidth of BJT, measured in Frequency can be negative.

Which unit is used to measure Unity-Gain Bandwidth of BJT?

Unity-Gain Bandwidth of BJT is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Unity-Gain Bandwidth of BJT can be measured.

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Unity-Gain Bandwidth of BJT Formula

Unity-Gain Bandwidth of BJT Example

Unity-Gain Bandwidth of BJT Solution

Unity-Gain Bandwidth of BJT Formula Elements

Other formulas in Internal Capacitive Effects and High Frequency Model category

How to Evaluate Unity-Gain Bandwidth of BJT?

FAQs on Unity-Gain Bandwidth of BJT

Variable Name