Maximum Frequency of Oscillations Calculator

✖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.ⓘ Common Emitter Short Circuit Gain Frequency [f_T]			+10% -10%
✖Base resistance is the resistance of the base junction.ⓘ Base Resistance [R_b]			+10% -10%
✖Collector Base Capacitance refers to the capacitance that exists between the collector and the base of a bipolar junction transistor (BJT).ⓘ Collector Base Capacitance [C_c]			+10% -10%

✖Maximum frequency of oscillations is defined as the practical upper bound for useful circuit operation with BJT.ⓘ Maximum Frequency of Oscillations [f_m]

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Formula

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Maximum Frequency of Oscillations

Formula

`"f"_{"m"} = sqrt("f"_{"T"}/(8*pi*"R"_{"b"}*"C"_{"c"}))`

Example

`"69.17022Hz"=sqrt("30.05Hz"/(8*pi*"0.98Ω"*"255μF"))`

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Maximum Frequency of Oscillations Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Frequency of Oscillations = sqrt(Common Emitter Short Circuit Gain Frequency/(8*pi*Base Resistance*Collector Base Capacitance))
f_m = sqrt(f_T/(8*pi*R_b*C_c))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sqrt(Number)

Variables Used

Maximum Frequency of Oscillations - (Measured in Hertz) - Maximum frequency of oscillations is defined as the practical upper bound for useful circuit operation with BJT.
Common Emitter Short Circuit Gain Frequency - (Measured in Hertz) - 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.
Base Resistance - (Measured in Ohm) - Base resistance is the resistance of the base junction.
Collector Base Capacitance - (Measured in Farad) - Collector Base Capacitance refers to the capacitance that exists between the collector and the base of a bipolar junction transistor (BJT).

STEP 1: Convert Input(s) to Base Unit

Common Emitter Short Circuit Gain Frequency: 30.05 Hertz --> 30.05 Hertz No Conversion Required
Base Resistance: 0.98 Ohm --> 0.98 Ohm No Conversion Required
Collector Base Capacitance: 255 Microfarad --> 0.000255 Farad (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_m = sqrt(f_T/(8*pi*R_b*C_c)) --> sqrt(30.05/(8*pi*0.98*0.000255))

Evaluating ... ...

f_m = 69.170223708259

STEP 3: Convert Result to Output's Unit

69.170223708259 Hertz --> No Conversion Required

FINAL ANSWER

69.170223708259 ≈ 69.17022 Hertz <-- Maximum Frequency of Oscillations

(Calculation completed in 00.020 seconds)

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 15 BJT Microwave Devices Calculators

Maximum Frequency of Oscillations

Go Maximum Frequency of Oscillations = sqrt(Common Emitter Short Circuit Gain Frequency/(8*pi*Base Resistance*Collector Base Capacitance))

Emitter Base Charging Time

Go Emitter Charging Time = Emitter Collector Delay Time-(Base Collector Delay Time+Collector Charging Time+Base Transit Time)

Base Collector Delay Time

Go Base Collector Delay Time = Emitter Collector Delay Time-(Collector Charging Time+Base Transit Time+Emitter Charging Time)

Collector Charging Time

Go Collector Charging Time = Emitter Collector Delay Time-(Base Collector Delay Time+Base Transit Time+Emitter Charging Time)

Base Transit Time

Go Base Transit Time = Emitter Collector Delay Time-(Base Collector Delay Time+Collector Charging Time+Emitter Charging Time)

Emitter to Collector Delay Time

Go Emitter Collector Delay Time = Base Collector Delay Time+Collector Charging Time+Base Transit Time+Emitter Charging Time

Collector Base Capacitance

Go Collector Base Capacitance = Cut-off Frequency in BJT/(8*pi*Maximum Frequency of Oscillations^2*Base Resistance)

Base Resistance

Go Base Resistance = Cut-off Frequency in BJT/(8*pi*Maximum Frequency of Oscillations^2*Collector Base Capacitance)

Avalanche Multiplication Factor

Go Avalanche Multiplication Factor = 1/(1-(Applied Voltage/Avalanche Breakdown Voltage)^Doping Numerical Factor)

Saturation Drift Velocity

Go Saturated Drift Velocity in BJT = Emitter to Collector Distance/Average Time to Traverse Emitter to Collector

Emitter to Collector Distance

Go Emitter to Collector Distance = Maximum Applied Voltage in BJT/Maximum Electric Field in BJT

Total Charging Time

Go Total Charging Time = Emitter Charging Time+Collector Charging Time

Cut-off Frequency of Microwave

Go Cut-off Frequency in BJT = 1/(2*pi*Emitter Collector Delay Time)

Total Transit Time

Go Total Transit Time = Base Transit Time+Collector Depletion Region

Hole Current of Emitter

Go Hole Current of Emitter = Base Current+Collector Current

Maximum Frequency of Oscillations Formula

Maximum Frequency of Oscillations = sqrt(Common Emitter Short Circuit Gain Frequency/(8*pi*Base Resistance*Collector Base Capacitance))
f_m = sqrt(f_T/(8*pi*R_b*C_c))

What is Frequency of Oscillation Wave?

Frequency of oscillation (f) (or just frequency): the number of times the wave pattern repeats itself in one second

How to Calculate Maximum Frequency of Oscillations?

Maximum Frequency of Oscillations calculator uses Maximum Frequency of Oscillations = sqrt(Common Emitter Short Circuit Gain Frequency/(8*pi*Base Resistance*Collector Base Capacitance)) to calculate 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 calculate Maximum Frequency of Oscillations using this online calculator? To use this online calculator 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. Here is how the Maximum Frequency of Oscillations calculation can be explained with given input values -> 69.17022 = sqrt(30.05/(8*pi*0.98*0.000255)).

FAQ

What is Maximum Frequency of Oscillations?

The Maximum Frequency of Oscillations formula is defined as the practical upper bound for useful circuit operation and is represented as f_m = sqrt(f_T/(8*pi*R_b*C_c)) or Maximum Frequency of Oscillations = sqrt(Common Emitter Short Circuit Gain Frequency/(8*pi*Base Resistance*Collector Base Capacitance)). 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, Base resistance is the resistance of the base junction & Collector Base Capacitance refers to the capacitance that exists between the collector and the base of a bipolar junction transistor (BJT).

How to calculate Maximum Frequency of Oscillations?

The Maximum Frequency of Oscillations formula is defined as the practical upper bound for useful circuit operation is calculated using Maximum Frequency of Oscillations = sqrt(Common Emitter Short Circuit Gain Frequency/(8*pi*Base Resistance*Collector Base Capacitance)). To calculate Maximum Frequency of Oscillations, you need Common Emitter Short Circuit Gain Frequency (f_T), Base Resistance (R_b) & Collector Base Capacitance (C_c). With our tool, you need to enter the respective value for Common Emitter Short Circuit Gain Frequency, Base Resistance & Collector Base 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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