Output voltage gain of MOS Cascode Amplifier Calculator

✖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%
✖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%
✖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.ⓘ Drain Resistance [R_d]			+10% -10%

✖Output voltage gain is the difference between the output signal voltage level in decibels and the input signal voltage level in decibels.ⓘ Output voltage gain of MOS Cascode Amplifier [A_vo]

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Formula

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Output voltage gain of MOS Cascode Amplifier

Formula

`"A"_{"vo"} = -"g"_{"mp"}^2*"R"_{"out"}*"R"_{"d"}`

Example

`"49.24747"=-("19.77mS")^2*"0.35kΩ"*"0.36kΩ"`

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Output voltage gain of MOS Cascode Amplifier Solution

STEP 0: Pre-Calculation Summary

Formula Used

Output Voltage Gain = -MOSFET Primary Transconductance^2*Finite Output Resistance*Drain Resistance
A_vo = -g_mp^2*R_out*R_d
This formula uses 4 Variables

Variables Used

Output Voltage Gain - Output voltage gain is the difference between the output signal voltage level in decibels and the input signal voltage level in decibels.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

MOSFET Primary Transconductance: 19.77 Millisiemens --> 0.01977 Siemens (Check conversion here)
Finite Output Resistance: 0.35 Kilohm --> 350 Ohm (Check conversion here)
Drain Resistance: 0.36 Kilohm --> 360 Ohm (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_vo = -g_mp^2*R_out*R_d --> -0.01977^2*350*360

Evaluating ... ...

A_vo = 49.2474654

STEP 3: Convert Result to Output's Unit

49.2474654 --> No Conversion Required

FINAL ANSWER

49.2474654 ≈ 49.24747 <-- Output Voltage Gain

(Calculation completed in 00.004 seconds)

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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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< 5 Cascode Ampifier Calculators

Open Circuit Bipolar Cascode Voltage Gain

Go Bipolar Cascode Voltage Gain = -MOSFET Primary Transconductance*(MOSFET Secondary Transconductance*Finite Output Resistance)*(1/Finite Output Resistance of Transistor 1+1/Small Signal Input Resistance)^-1

Drain Resistance of Cascode Amplifier

Go Drain Resistance = (Output Voltage Gain/(MOSFET Primary Transconductance^2*Finite Output Resistance))

Output voltage gain of MOS Cascode Amplifier

Go Output Voltage Gain = -MOSFET Primary Transconductance^2*Finite Output Resistance*Drain Resistance

Equivalent Resistance of Cascode Amplifier

Go Resistance between Drain and Ground = (1/Finite Output Resistance of Transistor 1+1/Input Resistance)^-1

Negative Voltage Gain of Cascode Amplifier

Go Negative Voltage Gain = -(MOSFET Primary Transconductance*Resistance between Drain and Ground)

< 15 Multi Stage Transistor Amplifiers Calculators

Open Circuit Bipolar Cascode Voltage Gain

Output Resistance of Emitter Follower

Go Finite Resistance = (1/Load Resistance+1/Small Signal Voltage+1/Emitter Resistance)+(1/Base Impedance+1/Signal Resistance)/(Collector Base Current Gain+1)

Drain Resistance of Cascode Amplifier

Go Drain Resistance = (Output Voltage Gain/(MOSFET Primary Transconductance^2*Finite Output Resistance))

Output voltage gain of MOS Cascode Amplifier

Go Output Voltage Gain = -MOSFET Primary Transconductance^2*Finite Output Resistance*Drain Resistance

Collector Current in Active Region when Transistor Acts as Amplifier

Go Collector Current = Saturation Current*e^(Voltage across Base Emitter Junction/Threshold Voltage)

Saturation Current of Emitter Follower

Go Saturation Current = Collector Current/e^(Voltage across Base Emitter Junction/Threshold Voltage)

Equivalent Resistance of Cascode Amplifier

Go Resistance between Drain and Ground = (1/Finite Output Resistance of Transistor 1+1/Input Resistance)^-1

Negative Voltage Gain of Cascode Amplifier

Go Negative Voltage Gain = -(MOSFET Primary Transconductance*Resistance between Drain and Ground)

Input Resistance of Emitter Follower

Go Input Resistance = 1/(1/Signal Resistance in Base+1/Base Resistance)

Base Resistance across Emitter follower Junction

Go Base Resistance = High Frequency Constant*Emitter Resistance

Total Emitter Resistance of Emitter Follower

Go Emitter Resistance = Base Resistance/High Frequency Constant

Output Resistance of Transistor at Intrinsic Gain

Go Finite Output Resistance = Early Voltage/Collector Current

Collector Current of Emitter Follower Transistor

Go Collector Current = Early Voltage/Finite Output Resistance

Input Resistance of Transistor Amplifier

Go Input Resistance = Amplifier Input/Input Current

Input Voltage of Emitter Follower

Go Emitter Voltage = Base Voltage-0.7

Output voltage gain of MOS Cascode Amplifier Formula

Output Voltage Gain = -MOSFET Primary Transconductance^2*Finite Output Resistance*Drain Resistance
A_vo = -g_mp^2*R_out*R_d

What are the applications of cascode amplifier?

The cascode amplifier is used to enhance the performance of an analog circuit. The utilization of cascode is a common method that can be used in the applications of transistors as well as vacuum tubes.

How to Calculate Output voltage gain of MOS Cascode Amplifier?

Output voltage gain of MOS Cascode Amplifier calculator uses Output Voltage Gain = -MOSFET Primary Transconductance^2*Finite Output Resistance*Drain Resistance to calculate the Output Voltage Gain, The Output voltage gain of MOS Cascode Amplifier formula is defined as measure of ability of two-port circuit (often amplifier) to increase power or amplitude of signal from input to output port by adding energy converted from some power supply to signal. Output Voltage Gain is denoted by A_vo symbol.

How to calculate Output voltage gain of MOS Cascode Amplifier using this online calculator? To use this online calculator for Output voltage gain of MOS Cascode Amplifier, enter MOSFET Primary Transconductance (g_mp), Finite Output Resistance (R_out) & Drain Resistance (R_d) and hit the calculate button. Here is how the Output voltage gain of MOS Cascode Amplifier calculation can be explained with given input values -> 49.24248 = -0.01977^2*350*360.

FAQ

What is Output voltage gain of MOS Cascode Amplifier?

The Output voltage gain of MOS Cascode Amplifier formula is defined as measure of ability of two-port circuit (often amplifier) to increase power or amplitude of signal from input to output port by adding energy converted from some power supply to signal and is represented as A_vo = -g_mp^2*R_out*R_d or Output Voltage Gain = -MOSFET Primary Transconductance^2*Finite Output Resistance*Drain Resistance. 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, The finite output resistance is a measure of how much the transistor's output impedance varies with changes in the output voltage & 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.

How to calculate Output voltage gain of MOS Cascode Amplifier?

The Output voltage gain of MOS Cascode Amplifier formula is defined as measure of ability of two-port circuit (often amplifier) to increase power or amplitude of signal from input to output port by adding energy converted from some power supply to signal is calculated using Output Voltage Gain = -MOSFET Primary Transconductance^2*Finite Output Resistance*Drain Resistance. To calculate Output voltage gain of MOS Cascode Amplifier, you need MOSFET Primary Transconductance (g_mp), Finite Output Resistance (R_out) & Drain Resistance (R_d). With our tool, you need to enter the respective value for MOSFET Primary Transconductance, Finite Output Resistance & Drain 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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