Source-Degenerated Gain-Bandwidth Product of CS Amplifier Solution

STEP 0: Pre-Calculation Summary
Formula Used
Source Degenerated Gain Bandwidth Product = 1/(2*pi*Gate to Drain Capacitance*Signal Resistance)
BWsd = 1/(2*pi*Cgd*Rsig)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Source Degenerated Gain Bandwidth Product - (Measured in Hertz) - Source Degenerated Gain Bandwidth Product represents the frequency at which an amplifier's gain decreases due to source degeneration.
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.
Signal Resistance - (Measured in Ohm) - Signal Resistance is the resistance which is fed with the signal voltage source vs to an Amplifier.
STEP 1: Convert Input(s) to Base Unit
Gate to Drain Capacitance: 1.345 Microfarad --> 1.345E-06 Farad (Check conversion here)
Signal Resistance: 1.25 Kilohm --> 1250 Ohm (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
BWsd = 1/(2*pi*Cgd*Rsig) --> 1/(2*pi*1.345E-06*1250)
Evaluating ... ...
BWsd = 94.6646501661831
STEP 3: Convert Result to Output's Unit
94.6646501661831 Hertz --> No Conversion Required
FINAL ANSWER
94.6646501661831 94.66465 Hertz <-- Source Degenerated Gain Bandwidth Product
(Calculation completed in 00.004 seconds)

Credits

Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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National Institute Of Technology (NIT), Hamirpur
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19 Response of CS Amplifier Calculators

Source-Degenerated Time Constant of CS Amplifier
Go Source Degenerated Time Constant = Gate to Source Capacitance*Source Resistance Amplifier+Gate to Drain Capacitance*Resistance across Gate and Drain+Capacitance*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
Source-Degenerated Output Resistance of CS Amplifier
Go Source Degenerated Output Resistance = Finite Output Resistance*(1+(Transconductance*Source-Degenerated Resistance))
Source-Degenerated Transconductance of CS Amplifier
Go Source Degenerated Transconductance = Transconductance/(1+Transconductance*Source-Degenerated Resistance)
Source-Degenerated Gain-Bandwidth Product of CS Amplifier
Go Source Degenerated Gain Bandwidth Product = 1/(2*pi*Gate to Drain Capacitance*Signal Resistance)
Low-Frequency Voltage Gain of CS Amplifier
Go Low-Frequency Gain = -Short Circuit Transconductance*(1/Output Resistance+1/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))
Source-Degenerated Resistance across CS Amplifier
Go Source-Degenerated Resistance = 1/((1/Output Resistance)+(1/Load 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)
Source-Degenerated Frequency of CS Amplifier
Go Source Degeneration Frequency = 1/(2*pi*Time Constant)
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
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

Source-Degenerated Gain-Bandwidth Product of CS Amplifier Formula

Source Degenerated Gain Bandwidth Product = 1/(2*pi*Gate to Drain Capacitance*Signal Resistance)
BWsd = 1/(2*pi*Cgd*Rsig)

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 Gain-Bandwidth Product of CS Amplifier?

Source-Degenerated Gain-Bandwidth Product of CS Amplifier calculator uses Source Degenerated Gain Bandwidth Product = 1/(2*pi*Gate to Drain Capacitance*Signal Resistance) to calculate the Source Degenerated Gain Bandwidth Product, Source-Degenerated Gain-Bandwidth Product of CS Amplifier formula is defined as the product of the open-loop voltage gain and the frequency at which it is measured. The GBW is constant for voltage feedback amplifiers. It does not have much meaning for current feedback amplifiers, because there is no linear relationship between gain and bandwidth. Source Degenerated Gain Bandwidth Product is denoted by BWsd symbol.

How to calculate Source-Degenerated Gain-Bandwidth Product of CS Amplifier using this online calculator? To use this online calculator for Source-Degenerated Gain-Bandwidth Product of CS Amplifier, enter Gate to Drain Capacitance (Cgd) & Signal Resistance (Rsig) and hit the calculate button. Here is how the Source-Degenerated Gain-Bandwidth Product of CS Amplifier calculation can be explained with given input values -> 94.66465 = 1/(2*pi*1.345E-06*1250).

FAQ

What is Source-Degenerated Gain-Bandwidth Product of CS Amplifier?
Source-Degenerated Gain-Bandwidth Product of CS Amplifier formula is defined as the product of the open-loop voltage gain and the frequency at which it is measured. The GBW is constant for voltage feedback amplifiers. It does not have much meaning for current feedback amplifiers, because there is no linear relationship between gain and bandwidth and is represented as BWsd = 1/(2*pi*Cgd*Rsig) or Source Degenerated Gain Bandwidth Product = 1/(2*pi*Gate to Drain Capacitance*Signal Resistance). Gate to Drain Capacitance is defined as the capacitance that is observed between the gate and drain of the Junction of MOSFET & Signal Resistance is the resistance which is fed with the signal voltage source vs to an Amplifier.
How to calculate Source-Degenerated Gain-Bandwidth Product of CS Amplifier?
Source-Degenerated Gain-Bandwidth Product of CS Amplifier formula is defined as the product of the open-loop voltage gain and the frequency at which it is measured. The GBW is constant for voltage feedback amplifiers. It does not have much meaning for current feedback amplifiers, because there is no linear relationship between gain and bandwidth is calculated using Source Degenerated Gain Bandwidth Product = 1/(2*pi*Gate to Drain Capacitance*Signal Resistance). To calculate Source-Degenerated Gain-Bandwidth Product of CS Amplifier, you need Gate to Drain Capacitance (Cgd) & Signal Resistance (Rsig). With our tool, you need to enter the respective value for Gate to Drain Capacitance & Signal 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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