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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Birsa Institute of Technology (BIT), Sindri
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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

Input Capacitance in High-Frequency Gain of CE Amplifier Formula

​LaTeX ​Go
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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