Effective High Frequency Time Constant of CE Amplifier Calculator

✖Base Emitter Capacitance is the capacitance of the junction that is forward-biased and is represented by a diode.ⓘ Base Emitter Capacitance [C_be]			+10% -10%
✖Signal Resistance is the resistance which is fed with the signal voltage source vs to an Amplifier.ⓘ Signal Resistance [R_sig]			+10% -10%
✖Collector Base Junction Capacitance in active mode is reverse biased and is the capacitance between collector and base.ⓘ Collector Base Junction Capacitance [C_cb]			+10% -10%
✖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.ⓘ Transconductance [g_m]			+10% -10%
✖Load resistance is the cumulative resistance of a circuit, as seen by the voltage, current, or power source driving that circuit.ⓘ Load Resistance [R_L]			+10% -10%
✖Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.ⓘ Capacitance [C_t]			+10% -10%

✖Effective High Frequency Time Constant method enables an easy approximate computation of the -3 dB high-frequency limit of an amplifier frequency response.ⓘ Effective High Frequency Time Constant of CE Amplifier [𝜏_H]

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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)
𝜏_H = C_be*R_sig+(C_cb*(R_sig*(1+g_m*R_L)+R_L))+(C_t*R_L)
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

𝜏_H = C_be*R_sig+(C_cb*(R_sig*(1+g_m*R_L)+R_L))+(C_t*R_L) --> 2.7E-05*1250+(0.0003*(1250*(1+0.0048*1490)+1490))+(2.889E-06*1490)

Evaluating ... ...

𝜏_H = 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 00.007 seconds)

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Home » Engineering » Electronics » Amplifiers » High Frequency Response Amplifiers » Response of CE Amplifier » Effective High Frequency Time Constant of CE Amplifier

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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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National Institute Of Technology (NIT), Hamirpur

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< Response of CE Amplifier Calculators

Input Capacitance in High-Frequency Gain of CE Amplifier

LaTeX Go Input Capacitance = Collector Base Junction Capacitance+Base Emitter Capacitance*(1+(Transconductance*Load Resistance))

High-Frequency Gain of CE Amplifier

LaTeX Go High Frequency Response = Upper 3-dB Frequency/(2*pi)

Upper 3dB Frequency of CE Amplifier

LaTeX Go Upper 3-dB Frequency = 2*pi*High Frequency Response

Mid Band Gain of CE Amplifier

LaTeX Go Mid Band Gain = Output Voltage/Threshold Voltage

< Common Stage Amplifiers Calculators

Effective High Frequency Time Constant of CE Amplifier

LaTeX 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

LaTeX 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))))

Collector Base Junction Resistance of CE Amplifier

LaTeX Go Collector Resistance = Signal Resistance*(1+Transconductance*Load Resistance)+Load Resistance

Amplifier Bandwidth in Discrete-Circuit Amplifier

LaTeX Go Amplifier Bandwidth = High Frequency-Low Frequency

Effective High Frequency Time Constant of CE Amplifier Formula

LaTeX Go

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, w_H (as well as the equivalent low-frequency limit, w_L) 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 𝜏_H 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 (C_be), Signal Resistance (R_sig), Collector Base Junction Capacitance (C_cb), Transconductance (g_m), Load Resistance (R_L) & Capacitance (C_t) 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, w_H (as well as the equivalent low-frequency limit, w_L) 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 𝜏_H = C_be*R_sig+(C_cb*(R_sig*(1+g_m*R_L)+R_L))+(C_t*R_L) 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, w_H (as well as the equivalent low-frequency limit, w_L) 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 (C_be), Signal Resistance (R_sig), Collector Base Junction Capacitance (C_cb), Transconductance (g_m), Load Resistance (R_L) & Capacitance (C_t). 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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