FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Maximum Frequency of Oscillations Formula

Fx Copy

LaTeX Copy

Maximum frequency of oscillations is defined as the practical upper bound for useful circuit operation with BJT. Check FAQs

f m = \sqrt{\frac{f T}{8 \cdot π \cdot R b \cdot C c}}

f_m - Maximum Frequency of Oscillations?f_T - Common Emitter Short Circuit Gain Frequency?R_b - Base Resistance?C_c - Collector Base Capacitance?π - Archimedes' constant?

Maximum Frequency of Oscillations Example

With values

With units

Only example

Here is how the Maximum Frequency of Oscillations equation looks like with Values.

Here is how the Maximum Frequency of Oscillations equation looks like with Units.

Here is how the Maximum Frequency of Oscillations equation looks like.

69.1702 = \sqrt{\frac{30.05}{8 \cdot 3.1416 \cdot 0.98 \cdot 255}}

69.1702Hz = \sqrt{\frac{30.05Hz}{8 \cdot 3.1416 \cdot 0.98Ω \cdot 255μF}}

69.1702 = \sqrt{\frac{30.05}{8 \cdot 3.1416 \cdot 0.98 \cdot 255}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electronics » Category

Microwave Theory » fx Maximum Frequency of Oscillations

Maximum Frequency of Oscillations Solution

Follow our step by step solution on how to calculate Maximum Frequency of Oscillations?

FIRST Step Consider the formula

f m = \sqrt{\frac{f T}{8 \cdot π \cdot R b \cdot C c}}

Next Step Substitute values of Variables

∴

f m = \sqrt{\frac{30.05Hz}{8 \cdot π \cdot 0.98Ω \cdot 255μF}}

Next Step Substitute values of Constants

∴

f m = \sqrt{\frac{30.05Hz}{8 \cdot 3.1416 \cdot 0.98Ω \cdot 255μF}}

Next Step Convert Units

∴

f m = \sqrt{\frac{30.05Hz}{8 \cdot 3.1416 \cdot 0.98Ω \cdot 0.0003F}}

Next Step Prepare to Evaluate

∴

f m = \sqrt{\frac{30.05}{8 \cdot 3.1416 \cdot 0.98 \cdot 0.0003}}

Next Step Evaluate

∴

f m = 69.170223708259Hz

LAST Step Rounding Answer

∴

f m = 69.1702Hz

Maximum Frequency of Oscillations Formula Elements

Variables

Constants

Functions

Maximum Frequency of Oscillations

Maximum frequency of oscillations is defined as the practical upper bound for useful circuit operation with BJT.

Symbol: f_m

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Maximum Frequency of Oscillations

Common Emitter Short Circuit Gain Frequency

Common Emitter Short Circuit Gain Frequencyc refers to the frequency of common emitter when the emitter junction is short circuit and the current gain is unity.

Symbol: f_T

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Common Emitter Short Circuit Gain Frequency

Base Resistance

Base resistance is the resistance of the base junction.

Symbol: R_b

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Base Resistance

Collector Base Capacitance

Collector Base Capacitance refers to the capacitance that exists between the collector and the base of a bipolar junction transistor (BJT).

Symbol: C_c

Measurement: CapacitanceUnit: μF

Note: Value should be greater than 0.

Formulas to find Collector Base Capacitance

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in BJT Microwave Devices category

Go Cut-off Frequency of Microwave

f co = \frac{1}{2 \cdot π \cdot τ ec}

Go Base Transit Time

τ b = τ ec - (τ scr + τ c + τ e)

Go Base Collector Delay Time

τ scr = τ ec - (τ c + τ b + τ e)

Go Collector Charging Time

τ c = τ ec - (τ scr + τ b + τ e)

How to Evaluate Maximum Frequency of Oscillations?

Maximum Frequency of Oscillations evaluator uses Maximum Frequency of Oscillations = sqrt(Common Emitter Short Circuit Gain Frequency/(8*pi*Base Resistance*Collector Base Capacitance)) to evaluate the Maximum Frequency of Oscillations, The Maximum Frequency of Oscillations formula is defined as the practical upper bound for useful circuit operation. Maximum Frequency of Oscillations is denoted by f_m symbol.

How to evaluate Maximum Frequency of Oscillations using this online evaluator? To use this online evaluator for Maximum Frequency of Oscillations, enter Common Emitter Short Circuit Gain Frequency (f_T), Base Resistance (R_b) & Collector Base Capacitance (C_c) and hit the calculate button.

FAQs on Maximum Frequency of Oscillations

What is the formula to find Maximum Frequency of Oscillations?

The formula of Maximum Frequency of Oscillations is expressed as Maximum Frequency of Oscillations = sqrt(Common Emitter Short Circuit Gain Frequency/(8*pi*Base Resistance*Collector Base Capacitance)). Here is an example- 69.17022 = sqrt(30.05/(8*pi*0.98*0.000255)).

How to calculate Maximum Frequency of Oscillations?

With Common Emitter Short Circuit Gain Frequency (f_T), Base Resistance (R_b) & Collector Base Capacitance (C_c) we can find Maximum Frequency of Oscillations using the formula - Maximum Frequency of Oscillations = sqrt(Common Emitter Short Circuit Gain Frequency/(8*pi*Base Resistance*Collector Base Capacitance)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the Maximum Frequency of Oscillations be negative?

No, the Maximum Frequency of Oscillations, measured in Frequency cannot be negative.

Which unit is used to measure Maximum Frequency of Oscillations?

Maximum Frequency of Oscillations is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Maximum Frequency of Oscillations can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Maximum Frequency of Oscillations Formula

Maximum Frequency of Oscillations Example

Maximum Frequency of Oscillations Solution

Maximum Frequency of Oscillations Formula Elements

Other formulas in BJT Microwave Devices category

How to Evaluate Maximum Frequency of Oscillations?

FAQs on Maximum Frequency of Oscillations

Variable Name