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Source-Degenerated Time Constant of CS Amplifier Formula

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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. Check FAQs

T sd = C gs \cdot R s + C gd \cdot R gd + C t \cdot R t

T_sd - Source Degenerated Time Constant?C_gs - Gate to Source Capacitance?R_s - Source Resistance Amplifier?C_gd - Gate to Drain Capacitance?R_gd - Resistance across Gate and Drain?C_t - Capacitance?R_t - Resistance?

Source-Degenerated Time Constant of CS Amplifier Example

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Here is how the Source-Degenerated Time Constant of CS Amplifier equation looks like with Values.

Here is how the Source-Degenerated Time Constant of CS Amplifier equation looks like with Units.

Here is how the Source-Degenerated Time Constant of CS Amplifier equation looks like.

0.0671 = 2.6 \cdot 25 + 1.345 \cdot 0.5 + 2.889 \cdot 0.48

0.0671s = 2.6μF \cdot 25kΩ + 1.345μF \cdot 0.5kΩ + 2.889μF \cdot 0.48kΩ

0.0671 = 2.6 \cdot 25 + 1.345 \cdot 0.5 + 2.889 \cdot 0.48

Tip: Use pencil () icon above to edit Input Values and Units.

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Source-Degenerated Time Constant of CS Amplifier Solution

Follow our step by step solution on how to calculate Source-Degenerated Time Constant of CS Amplifier?

FIRST Step Consider the formula

T sd = C gs \cdot R s + C gd \cdot R gd + C t \cdot R t

Next Step Substitute values of Variables

∴

T sd = 2.6μF \cdot 25kΩ + 1.345μF \cdot 0.5kΩ + 2.889μF \cdot 0.48kΩ

Next Step Convert Units

∴

T sd = 2.6E-6F \cdot 25000Ω + 1.3E-6F \cdot 500Ω + 2.9E-6F \cdot 480Ω

Next Step Prepare to Evaluate

∴

T sd = 2.6E-6 \cdot 25000 + 1.3E-6 \cdot 500 + 2.9E-6 \cdot 480

Next Step Evaluate

∴

T sd = 0.06705922s

LAST Step Rounding Answer

∴

T sd = 0.0671s

Source-Degenerated Time Constant of CS Amplifier Formula Elements

Variables

Source Degenerated Time Constant

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.

Symbol: T_sd

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Gate to Source Capacitance

Gate to Source Capacitance is defined as the capacitance that is observed between the gate and Source of the Junction of MOSFET.

Symbol: C_gs

Measurement: CapacitanceUnit: μF

Note: Value should be greater than 0.

Source Resistance Amplifier

Source Resistance Amplifier is defined as the internal resistance of the source connected with the amplifier.

Symbol: R_s

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Gate to Drain Capacitance

Gate to Drain Capacitance is defined as the capacitance that is observed between the gate and drain of the Junction of MOSFET.

Symbol: C_gd

Measurement: CapacitanceUnit: μF

Note: Value should be greater than 0.

Resistance across Gate and Drain

Resistance across gate and drain is a measure of the opposition to current flow in an electrical circuit between gate and drain.

Symbol: R_gd

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Capacitance

Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.

Symbol: C_t

Measurement: CapacitanceUnit: μF

Note: Value should be greater than 0.

Resistance

Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.

Symbol: R_t

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Credits

Creator Image

Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has created this Formula and 600+ more formulas!

Verifier Image

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Formula and 2500+ more formulas!

Other formulas in Response of CS Amplifier category

Go Frequency of Zero Transmission of CS Amplifier

f tm = \frac{1}{C s \cdot R sig}

Go Midband Gain of CS Amplifier

A mid = \frac{V out}{V' sig}

See More

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

Source-Degenerated Time Constant of CS Amplifier evaluator uses Source Degenerated Time Constant = Gate to Source Capacitance*Source Resistance Amplifier+Gate to Drain Capacitance*Resistance across Gate and Drain+Capacitance*Resistance to evaluate 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 evaluate Source-Degenerated Time Constant of CS Amplifier using this online evaluator? To use this online evaluator 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.

FAQs on Source-Degenerated Time Constant of CS Amplifier

What is the formula to find Source-Degenerated Time Constant of CS Amplifier?

The formula of Source-Degenerated Time Constant of CS Amplifier is expressed as Source Degenerated Time Constant = Gate to Source Capacitance*Source Resistance Amplifier+Gate to Drain Capacitance*Resistance across Gate and Drain+Capacitance*Resistance. Here is an example- 0.067059 = 2.6E-06*25000+1.345E-06*500+2.889E-06*480.

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

With 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) we can find Source-Degenerated Time Constant of CS Amplifier using the formula - Source Degenerated Time Constant = Gate to Source Capacitance*Source Resistance Amplifier+Gate to Drain Capacitance*Resistance across Gate and Drain+Capacitance*Resistance.

Can the Source-Degenerated Time Constant of CS Amplifier be negative?

No, the Source-Degenerated Time Constant of CS Amplifier, measured in Time cannot be negative.

Which unit is used to measure Source-Degenerated Time Constant of CS Amplifier?

Source-Degenerated Time Constant of CS Amplifier is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Source-Degenerated Time Constant of CS Amplifier can be measured.

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