Open Circuit Time Constant in High Frequency Response of CG Amplifier Solution

STEP 0: Pre-Calculation Summary
Formula Used
Open Circuit Time Constant = Gate to Source Capacitance*(1/Signal Resistance+Transconductance)+(Capacitance+Gate to Drain Capacitance)*Load Resistance
Toc = Cgs*(1/Rsig+gm)+(Ct+Cgd)*RL
This formula uses 7 Variables
Variables Used
Open Circuit Time Constant - (Measured in Second) - Open circuit Time Constant is an approximate analysis technique used in electronic circuit design to determine the corner frequency of complex circuits.
Gate to Source Capacitance - (Measured in Farad) - Gate to Source Capacitance is defined as the capacitance that is observed between the gate and Source of the Junction of MOSFET.
Signal Resistance - (Measured in Ohm) - Signal Resistance is the resistance which is fed with the signal voltage source vs to an Amplifier.
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.
Capacitance - (Measured in Farad) - Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
Gate to Drain Capacitance - (Measured in Farad) - Gate to Drain Capacitance is defined as the capacitance that is observed between the gate and drain of the Junction of MOSFET.
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
Gate to Source Capacitance: 2.6 Microfarad --> 2.6E-06 Farad (Check conversion ​here)
Signal Resistance: 1.25 Kilohm --> 1250 Ohm (Check conversion ​here)
Transconductance: 4.8 Millisiemens --> 0.0048 Siemens (Check conversion ​here)
Capacitance: 2.889 Microfarad --> 2.889E-06 Farad (Check conversion ​here)
Gate to Drain Capacitance: 1.345 Microfarad --> 1.345E-06 Farad (Check conversion ​here)
Load Resistance: 1.49 Kilohm --> 1490 Ohm (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Toc = Cgs*(1/Rsig+gm)+(Ct+Cgd)*RL --> 2.6E-06*(1/1250+0.0048)+(2.889E-06+1.345E-06)*1490
Evaluating ... ...
Toc = 0.00630867456
STEP 3: Convert Result to Output's Unit
0.00630867456 Second --> No Conversion Required
FINAL ANSWER
0.00630867456 0.006309 Second <-- Open Circuit Time Constant
(Calculation completed in 00.013 seconds)

Credits

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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 CG Amplifier Calculators

Open Circuit Time Constant in High Frequency Response of CG Amplifier
​ LaTeX ​ Go Open Circuit Time Constant = Gate to Source Capacitance*(1/Signal Resistance+Transconductance)+(Capacitance+Gate to Drain Capacitance)*Load Resistance
Input Resistance of CG Amplifier
​ LaTeX ​ Go Resistance = (Finite Input Resistance+Load Resistance)/(1+(Transconductance*Finite Input Resistance))
Second Pole-Frequency of CG Amplifier
​ LaTeX ​ Go Second Pole Frequency = 1/(2*pi*Load Resistance*(Gate to Drain Capacitance+Capacitance))
Open Circuit Time Constant between Gate and Drain of Common Gate Amplifier
​ LaTeX ​ Go Open Circuit Time Constant = (Capacitance+Gate to Drain Capacitance)*Load Resistance

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

Open Circuit Time Constant in High Frequency Response of CG Amplifier Formula

​LaTeX ​Go
Open Circuit Time Constant = Gate to Source Capacitance*(1/Signal Resistance+Transconductance)+(Capacitance+Gate to Drain Capacitance)*Load Resistance
Toc = Cgs*(1/Rsig+gm)+(Ct+Cgd)*RL

What is CG amplifier?

In electronics, a common-gate amplifier is one of three basic single-stage field-effect transistor (FET) amplifier topologies, typically used as a current buffer or voltage amplifier. In this circuit the source terminal of the transistor serves as the input, the drain is the output and the gate is connected to the ground, or "common," hence its name. The analogous bipolar junction transistor circuit is the common-base amplifier.

How to Calculate Open Circuit Time Constant in High Frequency Response of CG Amplifier?

Open Circuit Time Constant in High Frequency Response of CG Amplifier calculator uses Open Circuit Time Constant = Gate to Source Capacitance*(1/Signal Resistance+Transconductance)+(Capacitance+Gate to Drain Capacitance)*Load Resistance to calculate the Open Circuit Time Constant, The Open circuit time constant in high frequency response of CG amplifier formula is defined as a method is an approximate analysis technique used in electronic circuit design to determine the corner frequency of complex circuits. It is a special case of zero-value time constant (ZVT) method technique when reactive elements consist of only capacitors. Open Circuit Time Constant is denoted by Toc symbol.

How to calculate Open Circuit Time Constant in High Frequency Response of CG Amplifier using this online calculator? To use this online calculator for Open Circuit Time Constant in High Frequency Response of CG Amplifier, enter Gate to Source Capacitance (Cgs), Signal Resistance (Rsig), Transconductance (gm), Capacitance (Ct), Gate to Drain Capacitance (Cgd) & Load Resistance (RL) and hit the calculate button. Here is how the Open Circuit Time Constant in High Frequency Response of CG Amplifier calculation can be explained with given input values -> 0.006309 = 2.6E-06*(1/1250+0.0048)+(2.889E-06+1.345E-06)*1490.

FAQ

What is Open Circuit Time Constant in High Frequency Response of CG Amplifier?
The Open circuit time constant in high frequency response of CG amplifier formula is defined as a method is an approximate analysis technique used in electronic circuit design to determine the corner frequency of complex circuits. It is a special case of zero-value time constant (ZVT) method technique when reactive elements consist of only capacitors and is represented as Toc = Cgs*(1/Rsig+gm)+(Ct+Cgd)*RL or Open Circuit Time Constant = Gate to Source Capacitance*(1/Signal Resistance+Transconductance)+(Capacitance+Gate to Drain Capacitance)*Load Resistance. Gate to Source Capacitance is defined as the capacitance that is observed between the gate and Source of the Junction of MOSFET, Signal Resistance is the resistance which is fed with the signal voltage source vs to an Amplifier, 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, Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential, Gate to Drain Capacitance is defined as the capacitance that is observed between the gate and drain of the Junction of MOSFET & Load resistance is the cumulative resistance of a circuit, as seen by the voltage, current, or power source driving that circuit.
How to calculate Open Circuit Time Constant in High Frequency Response of CG Amplifier?
The Open circuit time constant in high frequency response of CG amplifier formula is defined as a method is an approximate analysis technique used in electronic circuit design to determine the corner frequency of complex circuits. It is a special case of zero-value time constant (ZVT) method technique when reactive elements consist of only capacitors is calculated using Open Circuit Time Constant = Gate to Source Capacitance*(1/Signal Resistance+Transconductance)+(Capacitance+Gate to Drain Capacitance)*Load Resistance. To calculate Open Circuit Time Constant in High Frequency Response of CG Amplifier, you need Gate to Source Capacitance (Cgs), Signal Resistance (Rsig), Transconductance (gm), Capacitance (Ct), Gate to Drain Capacitance (Cgd) & Load Resistance (RL). With our tool, you need to enter the respective value for Gate to Source Capacitance, Signal Resistance, Transconductance, Capacitance, Gate to Drain Capacitance & Load Resistance 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 Open Circuit Time Constant?
In this formula, Open Circuit Time Constant uses Gate to Source Capacitance, Signal Resistance, Transconductance, Capacitance, Gate to Drain Capacitance & Load Resistance. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Open Circuit Time Constant = (Capacitance+Gate to Drain Capacitance)*Load Resistance
  • Open Circuit Time Constant = (Capacitance+Gate to Drain Capacitance)*Load Resistance
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