Low-Frequency Voltage Gain of CS Amplifier Calculator

✖Short Circuit transconductance is the electrical characteristic relating the current through the output of a device to the voltage across the input of a device.ⓘ Short Circuit Transconductance [g_ms]			+10% -10%
✖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.ⓘ Output Resistance [R_out]			+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 [R_L]			+10% -10%

✖Low-frequency gain of the voltage amplifier is calculated at frequencies whose values are less than those frequencies where the gain is close to its maximum value.ⓘ Low-Frequency Voltage Gain of CS Amplifier [G_f]

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Formula

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Low-Frequency Voltage Gain of CS Amplifier

Formula

`"G"_{"f"} = -"g"_{"ms"}*(1/"R"_{"out"}+1/"R"_{"L"})`

Example

`"-2.7E^-6"=-"2.03mS"*(1/"1.508kΩ"+1/"1.49kΩ")`

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Low-Frequency Voltage Gain of CS Amplifier Solution

STEP 0: Pre-Calculation Summary

Formula Used

Low-Frequency Gain = -Short Circuit Transconductance*(1/Output Resistance+1/Load Resistance)
G_f = -g_ms*(1/R_out+1/R_L)
This formula uses 4 Variables

Variables Used

Low-Frequency Gain - Low-frequency gain of the voltage amplifier is calculated at frequencies whose values are less than those frequencies where the gain is close to its maximum value.
Short Circuit Transconductance - (Measured in Siemens) - Short Circuit transconductance is the electrical characteristic relating the current through the output of a device to the voltage across the input of a device.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Short Circuit Transconductance: 2.03 Millisiemens --> 0.00203 Siemens (Check conversion here)
Output Resistance: 1.508 Kilohm --> 1508 Ohm (Check conversion here)
Load Resistance: 1.49 Kilohm --> 1490 Ohm (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G_f = -g_ms*(1/R_out+1/R_L) --> -0.00203*(1/1508+1/1490)

Evaluating ... ...

G_f = -2.7085699535364E-06

STEP 3: Convert Result to Output's Unit

-2.7085699535364E-06 --> No Conversion Required

FINAL ANSWER

-2.7085699535364E-06 ≈ -2.7E-6 <-- Low-Frequency Gain

(Calculation completed in 00.006 seconds)

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Home » Engineering » Electronics » Amplifiers » High Frequency Response Amplifiers » Response of CS Amplifier » Low-Frequency Voltage Gain of CS Amplifier

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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

Low-Frequency Voltage Gain of CS Amplifier Formula

Low-Frequency Gain = -Short Circuit Transconductance*(1/Output Resistance+1/Load Resistance)
G_f = -g_ms*(1/R_out+1/R_L)

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 Low-Frequency Voltage Gain of CS Amplifier?

Low-Frequency Voltage Gain of CS Amplifier calculator uses Low-Frequency Gain = -Short Circuit Transconductance*(1/Output Resistance+1/Load Resistance) to calculate the Low-Frequency Gain, Low-Frequency Voltage Gain of CS Amplifier formula is defined as the voltage amplifier at frequencies less than those frequencies at which this gain is close to its maximum value. Low-Frequency Gain is denoted by G_f symbol.

How to calculate Low-Frequency Voltage Gain of CS Amplifier using this online calculator? To use this online calculator for Low-Frequency Voltage Gain of CS Amplifier, enter Short Circuit Transconductance (g_ms), Output Resistance (R_out) & Load Resistance (R_L) and hit the calculate button. Here is how the Low-Frequency Voltage Gain of CS Amplifier calculation can be explained with given input values -> -2.7E-6 = -0.00203*(1/1508+1/1490).

FAQ

What is Low-Frequency Voltage Gain of CS Amplifier?

Low-Frequency Voltage Gain of CS Amplifier formula is defined as the voltage amplifier at frequencies less than those frequencies at which this gain is close to its maximum value and is represented as G_f = -g_ms*(1/R_out+1/R_L) or Low-Frequency Gain = -Short Circuit Transconductance*(1/Output Resistance+1/Load Resistance). Short Circuit transconductance is the electrical characteristic relating the current through the output of a device to the voltage across the input of a device, 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 & Load resistance is the cumulative resistance of a circuit, as seen by the voltage, current, or power source driving that circuit.

How to calculate Low-Frequency Voltage Gain of CS Amplifier?

Low-Frequency Voltage Gain of CS Amplifier formula is defined as the voltage amplifier at frequencies less than those frequencies at which this gain is close to its maximum value is calculated using Low-Frequency Gain = -Short Circuit Transconductance*(1/Output Resistance+1/Load Resistance). To calculate Low-Frequency Voltage Gain of CS Amplifier, you need Short Circuit Transconductance (g_ms), Output Resistance (R_out) & Load Resistance (R_L). With our tool, you need to enter the respective value for Short Circuit Transconductance, Output Resistance & Load 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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