High-Frequency Gain of CE Amplifier Solution

STEP 0: Pre-Calculation Summary
Formula Used
High Frequency Response = Upper 3-dB Frequency/(2*pi)
Ahf = fu3dB/(2*pi)
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
High Frequency Response - High frequency response is the gain of the voltage amplifier at frequencies less than those frequencies at which this gain is close to its maximum value.
Upper 3-dB Frequency - (Measured in Hertz) - Upper 3-dB frequency is the cutoff frequency of an electronic amplifier stage at which the output power has dropped to half of its mid-band level.
STEP 1: Convert Input(s) to Base Unit
Upper 3-dB Frequency: 1.257 Hertz --> 1.257 Hertz No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ahf = fu3dB/(2*pi) --> 1.257/(2*pi)
Evaluating ... ...
Ahf = 0.200057763466512
STEP 3: Convert Result to Output's Unit
0.200057763466512 --> No Conversion Required
FINAL ANSWER
0.200057763466512 0.200058 <-- High Frequency Response
(Calculation completed in 00.004 seconds)

Credits

Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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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

High-Frequency Gain of CE Amplifier Formula

High Frequency Response = Upper 3-dB Frequency/(2*pi)
Ahf = fu3dB/(2*pi)

Why does gain increase with frequency?

As the frequency increases, the capacitive reactance becomes smaller. This causes the signal voltage at the base to decrease, so the amplifier's voltage gain decreases.

How to Calculate High-Frequency Gain of CE Amplifier?

High-Frequency Gain of CE Amplifier calculator uses High Frequency Response = Upper 3-dB Frequency/(2*pi) to calculate the High Frequency Response, High-Frequency Gain of CE Amplifier formula is defined as measure of ability of two-port circuit (often amplifier) to increase power or amplitude of signal from input to output port by adding energy converted from some power supply to signal. It is often expressed using logarithmic decibel (dB) units ("dB gain"). High Frequency Response is denoted by Ahf symbol.

How to calculate High-Frequency Gain of CE Amplifier using this online calculator? To use this online calculator for High-Frequency Gain of CE Amplifier, enter Upper 3-dB Frequency (fu3dB) and hit the calculate button. Here is how the High-Frequency Gain of CE Amplifier calculation can be explained with given input values -> 0.200058 = 1.257/(2*pi).

FAQ

What is High-Frequency Gain of CE Amplifier?
High-Frequency Gain of CE Amplifier formula is defined as measure of ability of two-port circuit (often amplifier) to increase power or amplitude of signal from input to output port by adding energy converted from some power supply to signal. It is often expressed using logarithmic decibel (dB) units ("dB gain") and is represented as Ahf = fu3dB/(2*pi) or High Frequency Response = Upper 3-dB Frequency/(2*pi). Upper 3-dB frequency is the cutoff frequency of an electronic amplifier stage at which the output power has dropped to half of its mid-band level.
How to calculate High-Frequency Gain of CE Amplifier?
High-Frequency Gain of CE Amplifier formula is defined as measure of ability of two-port circuit (often amplifier) to increase power or amplitude of signal from input to output port by adding energy converted from some power supply to signal. It is often expressed using logarithmic decibel (dB) units ("dB gain") is calculated using High Frequency Response = Upper 3-dB Frequency/(2*pi). To calculate High-Frequency Gain of CE Amplifier, you need Upper 3-dB Frequency (fu3dB). With our tool, you need to enter the respective value for Upper 3-dB Frequency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate High Frequency Response?
In this formula, High Frequency Response uses Upper 3-dB Frequency. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • High Frequency Response = 1/(2*pi*Signal Resistance*Input Capacitance)
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