Effective High Frequency Time Constant of CE Amplifier Solution

STEP 0: Pre-Calculation Summary
Formula Used
Effective High Frequency Time Constant = Base Emitter Capacitance*Signal Resistance+(Collector Base Junction Capacitance*(Signal Resistance*(1+Transconductance*Load Resistance)+Load Resistance))+(Capacitance*Load Resistance)
𝜏H = Cbe*Rsig+(Ccb*(Rsig*(1+gm*RL)+RL))+(Ct*RL)
This formula uses 7 Variables
Variables Used
Effective High Frequency Time Constant - (Measured in Second) - Effective High Frequency Time Constant method enables an easy approximate computation of the -3 dB high-frequency limit of an amplifier frequency response.
Base Emitter Capacitance - (Measured in Farad) - Base Emitter Capacitance is the capacitance of the junction that is forward-biased and is represented by a diode.
Signal Resistance - (Measured in Ohm) - Signal Resistance is the resistance which is fed with the signal voltage source vs to an Amplifier.
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.
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.
Load Resistance - (Measured in Ohm) - Load resistance is the cumulative resistance of a circuit, as seen by the voltage, current, or power source driving that circuit.
Capacitance - (Measured in Farad) - Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
STEP 1: Convert Input(s) to Base Unit
Base Emitter Capacitance: 27 Microfarad --> 2.7E-05 Farad (Check conversion here)
Signal Resistance: 1.25 Kilohm --> 1250 Ohm (Check conversion here)
Collector Base Junction Capacitance: 300 Microfarad --> 0.0003 Farad (Check conversion here)
Transconductance: 4.8 Millisiemens --> 0.0048 Siemens (Check conversion here)
Load Resistance: 1.49 Kilohm --> 1490 Ohm (Check conversion here)
Capacitance: 2.889 Microfarad --> 2.889E-06 Farad (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝜏H = Cbe*Rsig+(Ccb*(Rsig*(1+gm*RL)+RL))+(Ct*RL) --> 2.7E-05*1250+(0.0003*(1250*(1+0.0048*1490)+1490))+(2.889E-06*1490)
Evaluating ... ...
𝜏H = 3.54205461
STEP 3: Convert Result to Output's Unit
3.54205461 Second --> No Conversion Required
FINAL ANSWER
3.54205461 3.542055 Second <-- Effective High Frequency Time Constant
(Calculation completed in 00.004 seconds)

Credits

Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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National Institute Of Technology (NIT), Hamirpur
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8 Response of CE Amplifier Calculators

Effective High Frequency Time Constant of CE Amplifier
Go Effective High Frequency Time Constant = Base Emitter Capacitance*Signal Resistance+(Collector Base Junction Capacitance*(Signal Resistance*(1+Transconductance*Load Resistance)+Load Resistance))+(Capacitance*Load Resistance)
High-Frequency Band given Complex Frequency Variable
Go Amplifier Gain in Mid Band = sqrt(((1+(3 dB Frequency/Frequency))*(1+(3 dB Frequency/Frequency Observed)))/((1+(3 dB Frequency/Pole Frequency))*(1+(3 dB Frequency/Second Pole Frequency))))
Input Capacitance in High-Frequency Gain of CE Amplifier
Go Input Capacitance = Collector Base Junction Capacitance+Base Emitter Capacitance*(1+(Transconductance*Load Resistance))
Collector Base Junction Resistance of CE Amplifier
Go Collector Resistance = Signal Resistance*(1+Transconductance*Load Resistance)+Load Resistance
High-Frequency Gain of CE Amplifier
Go High Frequency Response = Upper 3-dB Frequency/(2*pi)
Upper 3dB Frequency of CE Amplifier
Go Upper 3-dB Frequency = 2*pi*High Frequency Response
Amplifier Bandwidth in Discrete-Circuit Amplifier
Go Amplifier Bandwidth = High Frequency-Low Frequency
Mid Band Gain of CE Amplifier
Go Mid Band Gain = Output Voltage/Threshold Voltage

25 Common Stage Amplifiers Calculators

Effective High Frequency Time Constant of CE Amplifier
Go Effective High Frequency Time Constant = Base Emitter Capacitance*Signal Resistance+(Collector Base Junction Capacitance*(Signal Resistance*(1+Transconductance*Load Resistance)+Load Resistance))+(Capacitance*Load Resistance)
High-Frequency Band given Complex Frequency Variable
Go Amplifier Gain in Mid Band = sqrt(((1+(3 dB Frequency/Frequency))*(1+(3 dB Frequency/Frequency Observed)))/((1+(3 dB Frequency/Pole Frequency))*(1+(3 dB Frequency/Second Pole Frequency))))
Open Circuit Time Constant in High Frequency Response of CG Amplifier
Go Open Circuit Time Constant = Gate to Source Capacitance*(1/Signal Resistance+Transconductance)+(Capacitance+Gate to Drain Capacitance)*Load Resistance
Test Current in Open Circuit Time Constants Method of CS Amplifier
Go Test Current = Transconductance*Gate to Source Voltage+(Test Voltage+Gate to Source Voltage)/Load Resistance
Input Capacitance in High-Frequency Gain of CE Amplifier
Go Input Capacitance = Collector Base Junction Capacitance+Base Emitter Capacitance*(1+(Transconductance*Load Resistance))
Input Resistance of CG Amplifier
Go Resistance = (Finite Input Resistance+Load Resistance)/(1+(Transconductance*Finite Input Resistance))
Load Resistance of CG Amplifier
Go Load Resistance = Resistance*(1+(Transconductance*Finite Input Resistance))-Finite Input Resistance
Collector Base Junction Resistance of CE Amplifier
Go Collector Resistance = Signal Resistance*(1+Transconductance*Load Resistance)+Load Resistance
Open Circuit Time Constant between Gate and Drain of Common Gate Amplifier
Go Open Circuit Time Constant = (Capacitance+Gate to Drain Capacitance)*Load Resistance
Load Resistance of CS Amplifier
Go Load Resistance = (Output Voltage/(Transconductance*Gate to Source Voltage))
High-Frequency Response given Input Capacitance
Go High Frequency Response = 1/(2*pi*Signal Resistance*Input Capacitance)
Output Voltage of CS Amplifier
Go Output Voltage = Transconductance*Gate to Source Voltage*Load Resistance
Equivalent Signal Resistance of CS Amplifier
Go Internal Small Signal Resistance = 1/((1/Signal Resistance+1/Output Resistance))
Frequency of Zero Transmission of CS Amplifier
Go Transmission Frequency = 1/(Bypass Capacitor*Signal Resistance)
Bypass Capacitance of CS Amplifier
Go Bypass Capacitor = 1/(Transmission Frequency*Signal Resistance)
Resistance between Gate and Source of CG Amplifier
Go Resistance = 1/(1/Finite Input Resistance+1/Signal Resistance)
High-Frequency Gain of CE Amplifier
Go High Frequency Response = Upper 3-dB Frequency/(2*pi)
Upper 3dB Frequency of CE Amplifier
Go Upper 3-dB Frequency = 2*pi*High Frequency Response
Drain Voltage through Method of Open-Circuit Time Constants to CS Amplifier
Go Drain Voltage = Test Voltage+Gate to Source Voltage
Source Voltage of CS Amplifier
Go Gate to Source Voltage = Drain Voltage-Test Voltage
Midband Gain of CS Amplifier
Go Mid Band Gain = Output Voltage/Small Signal Voltage
Amplifier Bandwidth in Discrete-Circuit Amplifier
Go Amplifier Bandwidth = High Frequency-Low Frequency
Mid Band Gain of CE Amplifier
Go Mid Band Gain = Output Voltage/Threshold Voltage
Resistance between Gate and Drain in Open Circuit Time Constants Method of CS Amplifier
Go Resistance = Test Voltage/Test Current
Current Gain of CS Amplifier
Go Current Gain = Power Gain/Voltage Gain

Effective High Frequency Time Constant of CE Amplifier Formula

Effective High Frequency Time Constant = Base Emitter Capacitance*Signal Resistance+(Collector Base Junction Capacitance*(Signal Resistance*(1+Transconductance*Load Resistance)+Load Resistance))+(Capacitance*Load Resistance)
𝜏H = Cbe*Rsig+(Ccb*(Rsig*(1+gm*RL)+RL))+(Ct*RL)

What is CS amplifier?

In electronics, a common-source amplifier is one of three basic single-stage field-effect transistor (FET) amplifier topologies, typically used as a voltage or transconductance amplifier. The easiest way to tell if a FET is a common source, common drain, or common gate is to examine where the signal enters and leaves.

How to Calculate Effective High Frequency Time Constant of CE Amplifier?

Effective High Frequency Time Constant of CE Amplifier calculator uses Effective High Frequency Time Constant = Base Emitter Capacitance*Signal Resistance+(Collector Base Junction Capacitance*(Signal Resistance*(1+Transconductance*Load Resistance)+Load Resistance))+(Capacitance*Load Resistance) to calculate the Effective High Frequency Time Constant, The Effective high frequency time constant of CE amplifier formula is defined as a method that enables an easy approximate computation of the -3 dB high-frequency limit of an amplifier frequency response, wH (as well as the equivalent low-frequency limit, wL) when it is not possible to determine, by direct inspection, the values of the zeros and poles of the frequency response. Effective High Frequency Time Constant is denoted by 𝜏H symbol.

How to calculate Effective High Frequency Time Constant of CE Amplifier using this online calculator? To use this online calculator for Effective High Frequency Time Constant of CE Amplifier, enter Base Emitter Capacitance (Cbe), Signal Resistance (Rsig), Collector Base Junction Capacitance (Ccb), Transconductance (gm), Load Resistance (RL) & Capacitance (Ct) and hit the calculate button. Here is how the Effective High Frequency Time Constant of CE Amplifier calculation can be explained with given input values -> 3.560981 = 2.7E-05*1250+(0.0003*(1250*(1+0.0048*1490)+1490))+(2.889E-06*1490).

FAQ

What is Effective High Frequency Time Constant of CE Amplifier?
The Effective high frequency time constant of CE amplifier formula is defined as a method that enables an easy approximate computation of the -3 dB high-frequency limit of an amplifier frequency response, wH (as well as the equivalent low-frequency limit, wL) when it is not possible to determine, by direct inspection, the values of the zeros and poles of the frequency response and is represented as 𝜏H = Cbe*Rsig+(Ccb*(Rsig*(1+gm*RL)+RL))+(Ct*RL) or Effective High Frequency Time Constant = Base Emitter Capacitance*Signal Resistance+(Collector Base Junction Capacitance*(Signal Resistance*(1+Transconductance*Load Resistance)+Load Resistance))+(Capacitance*Load Resistance). Base Emitter Capacitance is the capacitance of the junction that is forward-biased and is represented by a diode, Signal Resistance is the resistance which is fed with the signal voltage source vs to an Amplifier, Collector Base Junction Capacitance in active mode is reverse biased and is the capacitance between collector and base, 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, Load resistance is the cumulative resistance of a circuit, as seen by the voltage, current, or power source driving that circuit & Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
How to calculate Effective High Frequency Time Constant of CE Amplifier?
The Effective high frequency time constant of CE amplifier formula is defined as a method that enables an easy approximate computation of the -3 dB high-frequency limit of an amplifier frequency response, wH (as well as the equivalent low-frequency limit, wL) when it is not possible to determine, by direct inspection, the values of the zeros and poles of the frequency response is calculated using Effective High Frequency Time Constant = Base Emitter Capacitance*Signal Resistance+(Collector Base Junction Capacitance*(Signal Resistance*(1+Transconductance*Load Resistance)+Load Resistance))+(Capacitance*Load Resistance). To calculate Effective High Frequency Time Constant of CE Amplifier, you need Base Emitter Capacitance (Cbe), Signal Resistance (Rsig), Collector Base Junction Capacitance (Ccb), Transconductance (gm), Load Resistance (RL) & Capacitance (Ct). With our tool, you need to enter the respective value for Base Emitter Capacitance, Signal Resistance, Collector Base Junction Capacitance, Transconductance, Load Resistance & 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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