Load Resistance of CS Amplifier Calculator

✖Output voltage signifies the voltage of the signal after it has been amplified.ⓘ Output Voltage [V_out]			+10% -10%
✖Transconductance is the ratio of the change in current at the output terminal to the change in the voltage at the input terminal of an active device.ⓘ Transconductance [g_m]			+10% -10%
✖Gate to source voltage of transistor is the voltage that falls across the gate-source terminal of the transistor.ⓘ Gate to Source Voltage [V_gs]			+10% -10%

✖Load resistance is the cumulative resistance of a circuit, as seen by the voltage, current, or power source driving that circuit.ⓘ Load Resistance of CS Amplifier [R_L]

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Formula

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Load Resistance of CS Amplifier

Formula

`"R"_{"L"} = ("V"_{"out"}/("g"_{"m"}*"V"_{"gs"}))`

Example

`"1.498958kΩ"=("28.78V"/("4.8mS"*"4V"))`

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Load Resistance of CS Amplifier Solution

STEP 0: Pre-Calculation Summary

Formula Used

Load Resistance = (Output Voltage/(Transconductance*Gate to Source Voltage))
R_L = (V_out/(g_m*V_gs))
This formula uses 4 Variables

Variables Used

Load Resistance - (Measured in Ohm) - Load resistance is the cumulative resistance of a circuit, as seen by the voltage, current, or power source driving that circuit.
Output Voltage - (Measured in Volt) - Output voltage signifies the voltage of the signal after it has been amplified.
Transconductance - (Measured in Siemens) - Transconductance is the ratio of the change in current at the output terminal to the change in the voltage at the input terminal of an active device.
Gate to Source Voltage - (Measured in Volt) - Gate to source voltage of transistor is the voltage that falls across the gate-source terminal of the transistor.

STEP 1: Convert Input(s) to Base Unit

Output Voltage: 28.78 Volt --> 28.78 Volt No Conversion Required
Transconductance: 4.8 Millisiemens --> 0.0048 Siemens (Check conversion here)
Gate to Source Voltage: 4 Volt --> 4 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_L = (V_out/(g_m*V_gs)) --> (28.78/(0.0048*4))

Evaluating ... ...

R_L = 1498.95833333333

STEP 3: Convert Result to Output's Unit

1498.95833333333 Ohm -->1.49895833333333 Kilohm (Check conversion here)

FINAL ANSWER

1.49895833333333 ≈ 1.498958 Kilohm <-- Load Resistance

(Calculation completed in 00.018 seconds)

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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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< 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

Load Resistance of CS Amplifier Formula

Load Resistance = (Output Voltage/(Transconductance*Gate to Source Voltage))
R_L = (V_out/(g_m*V_gs))

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 Load Resistance of CS Amplifier?

Load Resistance of CS Amplifier calculator uses Load Resistance = (Output Voltage/(Transconductance*Gate to Source Voltage)) to calculate the Load Resistance, Load Resistance of CS Amplifier is the resistance that is placed in series with the output circuit of the amplifier. This resistance is used to match the impedance of the amplifier to the load it is driving, ensuring maximum power transfer and minimum distortion. Load Resistance is denoted by R_L symbol.

How to calculate Load Resistance of CS Amplifier using this online calculator? To use this online calculator for Load Resistance of CS Amplifier, enter Output Voltage (V_out), Transconductance (g_m) & Gate to Source Voltage (V_gs) and hit the calculate button. Here is how the Load Resistance of CS Amplifier calculation can be explained with given input values -> 0.001499 = (28.78/(0.0048*4)).

FAQ

What is Load Resistance of CS Amplifier?

Load Resistance of CS Amplifier is the resistance that is placed in series with the output circuit of the amplifier. This resistance is used to match the impedance of the amplifier to the load it is driving, ensuring maximum power transfer and minimum distortion and is represented as R_L = (V_out/(g_m*V_gs)) or Load Resistance = (Output Voltage/(Transconductance*Gate to Source Voltage)). Output voltage signifies the voltage of the signal after it has been amplified, Transconductance is the ratio of the change in current at the output terminal to the change in the voltage at the input terminal of an active device & Gate to source voltage of transistor is the voltage that falls across the gate-source terminal of the transistor.

How to calculate Load Resistance of CS Amplifier?

Load Resistance of CS Amplifier is the resistance that is placed in series with the output circuit of the amplifier. This resistance is used to match the impedance of the amplifier to the load it is driving, ensuring maximum power transfer and minimum distortion is calculated using Load Resistance = (Output Voltage/(Transconductance*Gate to Source Voltage)). To calculate Load Resistance of CS Amplifier, you need Output Voltage (V_out), Transconductance (g_m) & Gate to Source Voltage (V_gs). With our tool, you need to enter the respective value for Output Voltage, Transconductance & Gate to Source Voltage 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 Load Resistance?

In this formula, Load Resistance uses Output Voltage, Transconductance & Gate to Source Voltage. We can use 1 other way(s) to calculate the same, which is/are as follows -

Load Resistance = Resistance*(1+(Transconductance*Finite Input Resistance))-Finite Input Resistance

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