Equivalent Signal Resistance of CS Amplifier Solution

STEP 0: Pre-Calculation Summary
Formula Used
Internal Small Signal Resistance = 1/((1/Signal Resistance+1/Output Resistance))
R'sig = 1/((1/Rsig+1/Rout))
This formula uses 3 Variables
Variables Used
Internal Small Signal Resistance - (Measured in Ohm) - Internal Small Signal Resistance in a transistor refers to the resistance that occurs within the transistor due to the internal construction of the device.
Signal Resistance - (Measured in Ohm) - Signal Resistance is the resistance which is fed with the signal voltage source vs to an Amplifier.
Output Resistance - (Measured in Ohm) - Output resistance is the resistance an amplifier sees when driving a load. It is an important parameter in amplifier design as it affects the amplifier's output power and efficiency.
STEP 1: Convert Input(s) to Base Unit
Signal Resistance: 1.25 Kilohm --> 1250 Ohm (Check conversion here)
Output Resistance: 1.508 Kilohm --> 1508 Ohm (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R'sig = 1/((1/Rsig+1/Rout)) --> 1/((1/1250+1/1508))
Evaluating ... ...
R'sig = 683.46627991298
STEP 3: Convert Result to Output's Unit
683.46627991298 Ohm -->0.68346627991298 Kilohm (Check conversion here)
FINAL ANSWER
0.68346627991298 0.683466 Kilohm <-- Internal Small Signal Resistance
(Calculation completed in 00.004 seconds)

Credits

Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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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

25 Common Stage Amplifiers Calculators

Effective High Frequency Time Constant of CE Amplifier
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
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))))
Open Circuit Time Constant in High Frequency Response of CG Amplifier
Go Open Circuit Time Constant = Gate to Source Capacitance*(1/Signal Resistance+Transconductance)+(Capacitance+Gate to Drain Capacitance)*Load 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
Input Capacitance in High-Frequency Gain of CE Amplifier
Go Input Capacitance = Collector Base Junction Capacitance+Base Emitter Capacitance*(1+(Transconductance*Load Resistance))
Input Resistance of CG Amplifier
Go Resistance = (Finite Input Resistance+Load Resistance)/(1+(Transconductance*Finite Input Resistance))
Load Resistance of CG Amplifier
Go Load Resistance = Resistance*(1+(Transconductance*Finite Input Resistance))-Finite Input Resistance
Collector Base Junction Resistance of CE Amplifier
Go Collector Resistance = Signal Resistance*(1+Transconductance*Load Resistance)+Load Resistance
Open Circuit Time Constant between Gate and Drain of Common Gate Amplifier
Go Open Circuit Time Constant = (Capacitance+Gate to Drain Capacitance)*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))
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)
Resistance between Gate and Source of CG Amplifier
Go Resistance = 1/(1/Finite Input Resistance+1/Signal Resistance)
High-Frequency Gain of CE Amplifier
Go High Frequency Response = Upper 3-dB Frequency/(2*pi)
Upper 3dB Frequency of CE Amplifier
Go Upper 3-dB Frequency = 2*pi*High Frequency Response
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
Amplifier Bandwidth in Discrete-Circuit Amplifier
Go Amplifier Bandwidth = High Frequency-Low Frequency
Mid Band Gain of CE Amplifier
Go Mid Band Gain = Output Voltage/Threshold 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

Equivalent Signal Resistance of CS Amplifier Formula

Internal Small Signal Resistance = 1/((1/Signal Resistance+1/Output Resistance))
R'sig = 1/((1/Rsig+1/Rout))

What is CS amplifier?

In electronics, a common-source amplifier is one of three basic single-stage field-effect transistor (FET) amplifier topologies, typically used as a voltage or transconductance amplifier. The easiest way to tell if a FET is a common source, common drain, or common gate is to examine where the signal enters and leaves.

How to Calculate Equivalent Signal Resistance of CS Amplifier?

Equivalent Signal Resistance of CS Amplifier calculator uses Internal Small Signal Resistance = 1/((1/Signal Resistance+1/Output Resistance)) to calculate the Internal Small Signal Resistance, The Equivalent signal resistance of CS amplifier formula is defined as the aggregate resistance connected either in parallel or series is calculated. Internal Small Signal Resistance is denoted by R'sig symbol.

How to calculate Equivalent Signal Resistance of CS Amplifier using this online calculator? To use this online calculator for Equivalent Signal Resistance of CS Amplifier, enter Signal Resistance (Rsig) & Output Resistance (Rout) and hit the calculate button. Here is how the Equivalent Signal Resistance of CS Amplifier calculation can be explained with given input values -> 0.000683 = 1/((1/1250+1/1508)).

FAQ

What is Equivalent Signal Resistance of CS Amplifier?
The Equivalent signal resistance of CS amplifier formula is defined as the aggregate resistance connected either in parallel or series is calculated and is represented as R'sig = 1/((1/Rsig+1/Rout)) or Internal Small Signal Resistance = 1/((1/Signal Resistance+1/Output Resistance)). Signal Resistance is the resistance which is fed with the signal voltage source vs to an Amplifier & Output resistance is the resistance an amplifier sees when driving a load. It is an important parameter in amplifier design as it affects the amplifier's output power and efficiency.
How to calculate Equivalent Signal Resistance of CS Amplifier?
The Equivalent signal resistance of CS amplifier formula is defined as the aggregate resistance connected either in parallel or series is calculated is calculated using Internal Small Signal Resistance = 1/((1/Signal Resistance+1/Output Resistance)). To calculate Equivalent Signal Resistance of CS Amplifier, you need Signal Resistance (Rsig) & Output Resistance (Rout). With our tool, you need to enter the respective value for Signal Resistance & Output 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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