Output Resistance of CS Amplifier with Source Resistance Calculator

✖The finite output resistance is a measure of how much the transistor's output impedance varies with changes in the output voltage.ⓘ Finite Output Resistance [R_out]			+10% -10%
✖Source resistance is the value of internal resistance of source.ⓘ Source Resistance [R_so]			+10% -10%
✖MOSFET Primary Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage.ⓘ MOSFET Primary Transconductance [g_mp]			+10% -10%

✖Drain resistance is the ratio of change in drain to source voltage to corresponding change in drain current for a constant gate to source voltage.ⓘ Output Resistance of CS Amplifier with Source Resistance [R_d]

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Formula

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Output Resistance of CS Amplifier with Source Resistance

Formula

`"R"_{"d"} = "R"_{"out"}+"R"_{"so"}+("g"_{"mp"}*"R"_{"out"}*"R"_{"so"})`

Example

`"0.358711kΩ"="0.35kΩ"+"0.0011kΩ"+("19.77mS"*"0.35kΩ"*"0.0011kΩ")`

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Output Resistance of CS Amplifier with Source Resistance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Drain Resistance = Finite Output Resistance+Source Resistance+(MOSFET Primary Transconductance*Finite Output Resistance*Source Resistance)
R_d = R_out+R_so+(g_mp*R_out*R_so)
This formula uses 4 Variables

Variables Used

Drain Resistance - (Measured in Ohm) - Drain resistance is the ratio of change in drain to source voltage to corresponding change in drain current for a constant gate to source voltage.
Finite Output Resistance - (Measured in Ohm) - The finite output resistance is a measure of how much the transistor's output impedance varies with changes in the output voltage.
Source Resistance - (Measured in Ohm) - Source resistance is the value of internal resistance of source.
MOSFET Primary Transconductance - (Measured in Siemens) - MOSFET Primary Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage.

STEP 1: Convert Input(s) to Base Unit

Finite Output Resistance: 0.35 Kilohm --> 350 Ohm (Check conversion here)
Source Resistance: 0.0011 Kilohm --> 1.1 Ohm (Check conversion here)
MOSFET Primary Transconductance: 19.77 Millisiemens --> 0.01977 Siemens (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_d = R_out+R_so+(g_mp*R_out*R_so) --> 350+1.1+(0.01977*350*1.1)

Evaluating ... ...

R_d = 358.71145

STEP 3: Convert Result to Output's Unit

358.71145 Ohm -->0.35871145 Kilohm (Check conversion here)

FINAL ANSWER

0.35871145 ≈ 0.358711 Kilohm <-- Drain Resistance

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electronics » Amplifiers » Transistor Amplifiers » Common-Source Amplifier » Output Resistance of CS Amplifier with Source Resistance

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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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< 11 Common-Source Amplifier Calculators

Overall Feedback Voltage Gain of Common-Source Amplifier

Go Feedback Voltage Gain = -MOSFET Primary Transconductance*(Input Resistance/(Input Resistance+Signal Resistance))*(1/Drain Resistance+1/Load Resistance+1/Finite Output Resistance)^-1

Output Voltage of Controlled Source Transistor

Go DC Component of Gate to Source Voltage = (Voltage Gain*Electric Current-Short Circuit Transconductance*Differential Output Signal)*(1/Final Resistance+1/Resistance of Primary Winding in Secondary)

Output Resistance at Another Drain of Controlled Source Transistor

Go Drain Resistance = Resistance of Secondary Winding in Primary+2*Finite Resistance+2*Finite Resistance*MOSFET Primary Transconductance*Resistance of Secondary Winding in Primary

Output Resistance of CS Amplifier with Source Resistance

Go Drain Resistance = Finite Output Resistance+Source Resistance+(MOSFET Primary Transconductance*Finite Output Resistance*Source Resistance)

Open-Circuit Voltage Gain of CS Amplifier

Go Open Circuit Voltage Gain = Finite Output Resistance/(Finite Output Resistance+1/MOSFET Primary Transconductance)

Transconductance in Common Source Amplifier

Go MOSFET Primary Transconductance = Unity Gain Frequency*(Gate to Source Capacitance+Capacitance Gate to Drain)

Overall Voltage Gain of Source Follower

Go Overall Voltage Gain = Load Resistance/(Load Resistance+1/MOSFET Primary Transconductance)

Current Gain of Controlled Source Transistor

Go Current Gain = 1/(1+1/(MOSFET Primary Transconductance*Resistance between Drain and Ground))

Emitter Voltage with respect to Voltage Gain

Go Emitter Voltage = Collector Voltage/Voltage Gain

Total Voltage Gain of CS Amplifier

Go Voltage Gain = Load Voltage/Input Voltage

Load Voltage of CS Amplifier

Go Load Voltage = Voltage Gain*Input Voltage

< 18 CV Actions of Common Stage Amplifiers Calculators

Output Voltage of Controlled Source Transistor

Go DC Component of Gate to Source Voltage = (Voltage Gain*Electric Current-Short Circuit Transconductance*Differential Output Signal)*(1/Final Resistance+1/Resistance of Primary Winding in Secondary)

Input Resistance of Common-Base Circuit

Go Input Resistance = (Emitter Resistance*(Finite Output Resistance+Load Resistance))/(Finite Output Resistance+(Load Resistance/(Collector Base Current Gain+1)))

Output Resistance at Another Drain of Controlled Source Transistor

Go Drain Resistance = Resistance of Secondary Winding in Primary+2*Finite Resistance+2*Finite Resistance*MOSFET Primary Transconductance*Resistance of Secondary Winding in Primary

Output Resistance of Emitter-Degenerated CE Amplifier

Go Drain Resistance = Finite Output Resistance+(MOSFET Primary Transconductance*Finite Output Resistance)*(1/Emitter Resistance+1/Small Signal Input Resistance)

Input Resistance of Common Emitter Amplifier given Small-Signal Input Resistance

Go Input Resistance = (1/Base Resistance+1/Base Resistance 2+1/(Small Signal Input Resistance+(Collector Base Current Gain+1)*Emitter Resistance))^-1

Output Resistance of CS Amplifier with Source Resistance

Go Drain Resistance = Finite Output Resistance+Source Resistance+(MOSFET Primary Transconductance*Finite Output Resistance*Source Resistance)

Input Resistance of Common-Emitter Amplifier given Emitter Resistance

Go Input Resistance = (1/Base Resistance+1/Base Resistance 2+1/((Total Resistance+Emitter Resistance)*(Collector Base Current Gain+1)))^-1

Instantaneous Drain Current using Voltage between Drain and Source

Go Drain Current = Transconductance Parameter*(Voltage across Oxide-Threshold Voltage)*Voltage between Gate and Source

Transconductance in Common Source Amplifier

Go MOSFET Primary Transconductance = Unity Gain Frequency*(Gate to Source Capacitance+Capacitance Gate to Drain)

Input Resistance of Common Emitter Amplifier

Go Input Resistance = (1/Base Resistance+1/Base Resistance 2+1/Small Signal Input Resistance)^-1

Input Impedance of Common-Base Amplifier

Go Input Impedance = (1/Emitter Resistance+1/Small Signal Input Resistance)^(-1)

Signal Current in Emitter given Input Signal

Go Signal Current in Emitter = Fundamental Component Voltage/Emitter Resistance

Transconductance using Collector Current of Transistor Amplifier

Go MOSFET Primary Transconductance = Collector Current/Threshold Voltage

Fundamental Voltage in Common-Emitter Amplifier

Go Fundamental Component Voltage = Input Resistance*Base Current

Input Resistance of Common-Collector Amplifier

Go Input Resistance = Fundamental Component Voltage/Base Current

Resistance of Emitter in Common-Base Amplifier

Go Emitter Resistance = Input Voltage/Emitter Current

Emitter Current of Common-Base Amplifier

Go Emitter Current = Input Voltage/Emitter Resistance

Load Voltage of CS Amplifier

Go Load Voltage = Voltage Gain*Input Voltage

Output Resistance of CS Amplifier with Source Resistance Formula

Drain Resistance = Finite Output Resistance+Source Resistance+(MOSFET Primary Transconductance*Finite Output Resistance*Source Resistance)
R_d = R_out+R_so+(g_mp*R_out*R_so)

What is CS configuration?

Common-source configuration is where the input is a voltage between the gate and ground, and the output is a voltage between the drain and ground.

How to Calculate Output Resistance of CS Amplifier with Source Resistance?

Output Resistance of CS Amplifier with Source Resistance calculator uses Drain Resistance = Finite Output Resistance+Source Resistance+(MOSFET Primary Transconductance*Finite Output Resistance*Source Resistance) to calculate the Drain Resistance, The Output Resistance of CS Amplifier with Source Resistance refers to the total effective resistance at the amplifier's output terminal when considering the effects of both the amplifier's internal characteristics and the external circuit components. Drain Resistance is denoted by R_d symbol.

How to calculate Output Resistance of CS Amplifier with Source Resistance using this online calculator? To use this online calculator for Output Resistance of CS Amplifier with Source Resistance, enter Finite Output Resistance (R_out), Source Resistance (R_so) & MOSFET Primary Transconductance (g_mp) and hit the calculate button. Here is how the Output Resistance of CS Amplifier with Source Resistance calculation can be explained with given input values -> 0.000359 = 350+1.1+(0.01977*350*1.1).

FAQ

What is Output Resistance of CS Amplifier with Source Resistance?

The Output Resistance of CS Amplifier with Source Resistance refers to the total effective resistance at the amplifier's output terminal when considering the effects of both the amplifier's internal characteristics and the external circuit components and is represented as R_d = R_out+R_so+(g_mp*R_out*R_so) or Drain Resistance = Finite Output Resistance+Source Resistance+(MOSFET Primary Transconductance*Finite Output Resistance*Source Resistance). The finite output resistance is a measure of how much the transistor's output impedance varies with changes in the output voltage, Source resistance is the value of internal resistance of source & MOSFET Primary Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage.

How to calculate Output Resistance of CS Amplifier with Source Resistance?

The Output Resistance of CS Amplifier with Source Resistance refers to the total effective resistance at the amplifier's output terminal when considering the effects of both the amplifier's internal characteristics and the external circuit components is calculated using Drain Resistance = Finite Output Resistance+Source Resistance+(MOSFET Primary Transconductance*Finite Output Resistance*Source Resistance). To calculate Output Resistance of CS Amplifier with Source Resistance, you need Finite Output Resistance (R_out), Source Resistance (R_so) & MOSFET Primary Transconductance (g_mp). With our tool, you need to enter the respective value for Finite Output Resistance, Source Resistance & MOSFET Primary Transconductance 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 Drain Resistance?

In this formula, Drain Resistance uses Finite Output Resistance, Source Resistance & MOSFET Primary Transconductance. We can use 3 other way(s) to calculate the same, which is/are as follows -

Drain Resistance = Resistance of Secondary Winding in Primary+2*Finite Resistance+2*Finite Resistance*MOSFET Primary Transconductance*Resistance of Secondary Winding in Primary
Drain Resistance = Resistance of Secondary Winding in Primary+2*Finite Resistance+2*Finite Resistance*MOSFET Primary Transconductance*Resistance of Secondary Winding in Primary
Drain Resistance = Finite Output Resistance+(MOSFET Primary Transconductance*Finite Output Resistance)*(1/Emitter Resistance+1/Small Signal Input Resistance)

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