Input Capacitance in High-Frequency Gain of CE Amplifier Solution

STEP 0: Pre-Calculation Summary
Formula Used
Input Capacitance = Collector Base Junction Capacitance+Base Emitter Capacitance*(1+(Transconductance*Load Resistance))
Ci = Ccb+Cbe*(1+(gm*RL))
This formula uses 5 Variables
Variables Used
Input Capacitance - (Measured in Farad) - Input capacitance is the capacitance value of the voltage 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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Collector Base Junction Capacitance: 300 Microfarad --> 0.0003 Farad (Check conversion here)
Base Emitter Capacitance: 27 Microfarad --> 2.7E-05 Farad (Check conversion here)
Transconductance: 4.8 Millisiemens --> 0.0048 Siemens (Check conversion here)
Load Resistance: 1.49 Kilohm --> 1490 Ohm (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ci = Ccb+Cbe*(1+(gm*RL)) --> 0.0003+2.7E-05*(1+(0.0048*1490))
Evaluating ... ...
Ci = 0.000520104
STEP 3: Convert Result to Output's Unit
0.000520104 Farad -->520.104 Microfarad (Check conversion here)
FINAL ANSWER
520.104 Microfarad <-- Input Capacitance
(Calculation completed in 00.004 seconds)

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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

Input Capacitance in High-Frequency Gain of CE Amplifier Formula

Input Capacitance = Collector Base Junction Capacitance+Base Emitter Capacitance*(1+(Transconductance*Load Resistance))
Ci = Ccb+Cbe*(1+(gm*RL))

What is meant by CE amplifier?

The common emitter amplifier is a three basic single-stage bipolar junction transistor and is used as a voltage amplifier. The input of this amplifier is taken from the base terminal, the output is collected from the collector terminal and the emitter terminal is common for both the terminals.

How to Calculate Input Capacitance in High-Frequency Gain of CE Amplifier?

Input Capacitance in High-Frequency Gain of CE Amplifier calculator uses Input Capacitance = Collector Base Junction Capacitance+Base Emitter Capacitance*(1+(Transconductance*Load Resistance)) to calculate the Input Capacitance, The Input capacitance in high-frequency gain of CE amplifier formula is defined as equal to Cbe. (Well, in practice there is small parasitic capacitance between collector and emitter) Common collector circuit has collector end grounded (Vcc is ground for AC), so input capacitance equals base-collector capacitance provided load has no capacitance of its own. Input Capacitance is denoted by Ci symbol.

How to calculate Input Capacitance in High-Frequency Gain of CE Amplifier using this online calculator? To use this online calculator for Input Capacitance in High-Frequency Gain of CE Amplifier, enter Collector Base Junction Capacitance (Ccb), Base Emitter Capacitance (Cbe), Transconductance (gm) & Load Resistance (RL) and hit the calculate button. Here is how the Input Capacitance in High-Frequency Gain of CE Amplifier calculation can be explained with given input values -> 5.2E+8 = 0.0003+2.7E-05*(1+(0.0048*1490)).

FAQ

What is Input Capacitance in High-Frequency Gain of CE Amplifier?
The Input capacitance in high-frequency gain of CE amplifier formula is defined as equal to Cbe. (Well, in practice there is small parasitic capacitance between collector and emitter) Common collector circuit has collector end grounded (Vcc is ground for AC), so input capacitance equals base-collector capacitance provided load has no capacitance of its own and is represented as Ci = Ccb+Cbe*(1+(gm*RL)) or Input Capacitance = Collector Base Junction Capacitance+Base Emitter Capacitance*(1+(Transconductance*Load Resistance)). Collector Base Junction Capacitance in active mode is reverse biased and is the capacitance between collector and base, Base Emitter Capacitance is the capacitance of the junction that is forward-biased and is represented by a diode, 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.
How to calculate Input Capacitance in High-Frequency Gain of CE Amplifier?
The Input capacitance in high-frequency gain of CE amplifier formula is defined as equal to Cbe. (Well, in practice there is small parasitic capacitance between collector and emitter) Common collector circuit has collector end grounded (Vcc is ground for AC), so input capacitance equals base-collector capacitance provided load has no capacitance of its own is calculated using Input Capacitance = Collector Base Junction Capacitance+Base Emitter Capacitance*(1+(Transconductance*Load Resistance)). To calculate Input Capacitance in High-Frequency Gain of CE Amplifier, you need Collector Base Junction Capacitance (Ccb), Base Emitter Capacitance (Cbe), Transconductance (gm) & Load Resistance (RL). With our tool, you need to enter the respective value for Collector Base Junction Capacitance, Base Emitter Capacitance, Transconductance & Load Resistance 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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