Source-Degenerated Time Constant of CS Amplifier Calculator

✖Gate to Source Capacitance is defined as the capacitance that is observed between the gate and Source of the Junction of MOSFET.ⓘ Gate to Source Capacitance [C_gs]			+10% -10%
✖Source Resistance Amplifier is defined as the internal resistance of the source connected with the amplifier.ⓘ Source Resistance Amplifier [R_s]			+10% -10%
✖Gate to Drain Capacitance is defined as the capacitance that is observed between the gate and drain of the Junction of MOSFET.ⓘ Gate to Drain Capacitance [C_gd]			+10% -10%
✖Resistance across gate and drain is a measure of the opposition to current flow in an electrical circuit between gate and drain.ⓘ Resistance across Gate and Drain [R_gd]			+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%
✖Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.ⓘ Resistance [R_t]			+10% -10%

✖Source Degenerated Time Constant refers to the time required for an input signal to stabilize in a source-degenerated amplifier circuit, balancing speed and stability.ⓘ Source-Degenerated Time Constant of CS Amplifier [T_sd]

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Source-Degenerated Time Constant of CS Amplifier Solution

STEP 0: Pre-Calculation Summary

Formula Used

Source Degenerated Time Constant = Gate to Source Capacitance*Source Resistance Amplifier+Gate to Drain Capacitance*Resistance across Gate and Drain+Capacitance*Resistance
T_sd = C_gs*R_s+C_gd*R_gd+C_t*R_t
This formula uses 7 Variables

Variables Used

Source Degenerated Time Constant - (Measured in Second) - Source Degenerated Time Constant refers to the time required for an input signal to stabilize in a source-degenerated amplifier circuit, balancing speed and stability.
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.
Source Resistance Amplifier - (Measured in Ohm) - Source Resistance Amplifier is defined as the internal resistance of the source connected with the amplifier.
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.
Resistance across Gate and Drain - (Measured in Ohm) - Resistance across gate and drain is a measure of the opposition to current flow in an electrical circuit between gate and drain.
Capacitance - (Measured in Farad) - Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
Resistance - (Measured in Ohm) - Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.

STEP 1: Convert Input(s) to Base Unit

Gate to Source Capacitance: 2.6 Microfarad --> 2.6E-06 Farad (Check conversion here)
Source Resistance Amplifier: 25 Kilohm --> 25000 Ohm (Check conversion here)
Gate to Drain Capacitance: 1.345 Microfarad --> 1.345E-06 Farad (Check conversion here)
Resistance across Gate and Drain: 0.5 Kilohm --> 500 Ohm (Check conversion here)
Capacitance: 2.889 Microfarad --> 2.889E-06 Farad (Check conversion here)
Resistance: 0.48 Kilohm --> 480 Ohm (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_sd = C_gs*R_s+C_gd*R_gd+C_t*R_t --> 2.6E-06*25000+1.345E-06*500+2.889E-06*480

Evaluating ... ...

T_sd = 0.06705922

STEP 3: Convert Result to Output's Unit

0.06705922 Second --> No Conversion Required

FINAL ANSWER

0.06705922 ≈ 0.067059 Second <-- Source Degenerated Time Constant

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Response of CS Amplifier Calculators

Output Voltage of CS Amplifier

LaTeX Go Output Voltage = Transconductance*Gate to Source Voltage*Load Resistance

Equivalent Signal Resistance of CS Amplifier

LaTeX Go Internal Small Signal Resistance = 1/((1/Signal Resistance+1/Output Resistance))

Frequency of Zero Transmission of CS Amplifier

LaTeX Go Transmission Frequency = 1/(Bypass Capacitor*Signal Resistance)

Midband Gain of CS Amplifier

LaTeX Go Mid Band Gain = Output Voltage/Small Signal Voltage

Source-Degenerated Time Constant of CS Amplifier Formula

LaTeX Go

What is wideband amplifier? What is source degeneration?

The wideband amplifier will be used to supply power to integrated circuits, the operational amplifiers will have a load at their outputs. As the load resistance increases, the op-amp's output resistance becomes less dominant, specifically in the low-frequency range.

Source degeneration boosts the output impedance but decreases the usable output swing.

How to Calculate Source-Degenerated Time Constant of CS Amplifier?

Source-Degenerated Time Constant of CS Amplifier calculator uses Source Degenerated Time Constant = Gate to Source Capacitance*Source Resistance Amplifier+Gate to Drain Capacitance*Resistance across Gate and Drain+Capacitance*Resistance to calculate the Source Degenerated Time Constant, Source-Degenerated Time Constant of CS Amplifier formula is usually denoted by the Greek letter τ (tau), which is the parameter characterizing the response to a step input of a first-order, linear time-invariant (LTI) system. The time constant is the main characteristic unit of a first-order LTI system. Source Degenerated Time Constant is denoted by T_sd symbol.

How to calculate Source-Degenerated Time Constant of CS Amplifier using this online calculator? To use this online calculator for Source-Degenerated Time Constant of CS Amplifier, enter Gate to Source Capacitance (C_gs), Source Resistance Amplifier (R_s), Gate to Drain Capacitance (C_gd), Resistance across Gate and Drain (R_gd), Capacitance (C_t) & Resistance (R_t) and hit the calculate button. Here is how the Source-Degenerated Time Constant of CS Amplifier calculation can be explained with given input values -> 0.067059 = 2.6E-06*25000+1.345E-06*500+2.889E-06*480.

FAQ

What is Source-Degenerated Time Constant of CS Amplifier?

Source-Degenerated Time Constant of CS Amplifier formula is usually denoted by the Greek letter τ (tau), which is the parameter characterizing the response to a step input of a first-order, linear time-invariant (LTI) system. The time constant is the main characteristic unit of a first-order LTI system and is represented as T_sd = C_gs*R_s+C_gd*R_gd+C_t*R_t or Source Degenerated Time Constant = Gate to Source Capacitance*Source Resistance Amplifier+Gate to Drain Capacitance*Resistance across Gate and Drain+Capacitance*Resistance. Gate to Source Capacitance is defined as the capacitance that is observed between the gate and Source of the Junction of MOSFET, Source Resistance Amplifier is defined as the internal resistance of the source connected with the amplifier, Gate to Drain Capacitance is defined as the capacitance that is observed between the gate and drain of the Junction of MOSFET, Resistance across gate and drain is a measure of the opposition to current flow in an electrical circuit between gate and drain, Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential & Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.

How to calculate Source-Degenerated Time Constant of CS Amplifier?

Source-Degenerated Time Constant of CS Amplifier formula is usually denoted by the Greek letter τ (tau), which is the parameter characterizing the response to a step input of a first-order, linear time-invariant (LTI) system. The time constant is the main characteristic unit of a first-order LTI system is calculated using Source Degenerated Time Constant = Gate to Source Capacitance*Source Resistance Amplifier+Gate to Drain Capacitance*Resistance across Gate and Drain+Capacitance*Resistance. To calculate Source-Degenerated Time Constant of CS Amplifier, you need Gate to Source Capacitance (C_gs), Source Resistance Amplifier (R_s), Gate to Drain Capacitance (C_gd), Resistance across Gate and Drain (R_gd), Capacitance (C_t) & Resistance (R_t). With our tool, you need to enter the respective value for Gate to Source Capacitance, Source Resistance Amplifier, Gate to Drain Capacitance, Resistance across Gate and Drain, Capacitance & 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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