Open Circuit Bipolar Cascode Voltage Gain 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%
✖MOSFET Secondary 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 Secondary Transconductance [g_ms]			+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%
✖The finite output resistance of transistor 1 is a measure of how much the transistor's output impedance varies with changes in the output voltage.ⓘ Finite Output Resistance of Transistor 1 [R_out1]			+10% -10%
✖Small signal input resistance 2 between Base and emitter models how the input impedance between the base and emitter terminals of the transistor changes when a small AC signal is applied.ⓘ Small Signal Input Resistance [R_sm]			+10% -10%

✖Bipolar Cascode Voltage Gain refers to a type of amplifier configuration that utilizes two transistors in a cascode configuration to achieve a higher voltage gain than a single transistor amplifier.ⓘ Open Circuit Bipolar Cascode Voltage Gain [A_fo]

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Formula

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Open Circuit Bipolar Cascode Voltage Gain

Formula

`"A"_{"fo"} = -"g"_{"mp"}*("g"_{"ms"}*"R"_{"out"})*(1/"R"_{"out1"}+1/"R"_{"sm"})^-1`

Example

`"-49.318032"=-"19.77mS"*("10.85mS"*"0.35kΩ")*(1/"1.201kΩ"+1/"1.45kΩ")^-1`

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Open Circuit Bipolar Cascode Voltage Gain Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
A_fo = -g_mp*(g_ms*R_out)*(1/R_out1+1/R_sm)^-1
This formula uses 6 Variables

Variables Used

Bipolar Cascode Voltage Gain - Bipolar Cascode Voltage Gain refers to a type of amplifier configuration that utilizes two transistors in a cascode configuration to achieve a higher voltage gain than a single transistor amplifier.
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.
MOSFET Secondary Transconductance - (Measured in Siemens) - MOSFET Secondary 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.
Finite Output Resistance of Transistor 1 - (Measured in Ohm) - The finite output resistance of transistor 1 is a measure of how much the transistor's output impedance varies with changes in the output voltage.
Small Signal Input Resistance - (Measured in Ohm) - Small signal input resistance 2 between Base and emitter models how the input impedance between the base and emitter terminals of the transistor changes when a small AC signal is applied.

STEP 1: Convert Input(s) to Base Unit

MOSFET Primary Transconductance: 19.77 Millisiemens --> 0.01977 Siemens (Check conversion here)
MOSFET Secondary Transconductance: 10.85 Millisiemens --> 0.01085 Siemens (Check conversion here)
Finite Output Resistance: 0.35 Kilohm --> 350 Ohm (Check conversion here)
Finite Output Resistance of Transistor 1: 1.201 Kilohm --> 1201 Ohm (Check conversion here)
Small Signal Input Resistance: 1.45 Kilohm --> 1450 Ohm (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_fo = -g_mp*(g_ms*R_out)*(1/R_out1+1/R_sm)^-1 --> -0.01977*(0.01085*350)*(1/1201+1/1450)^-1

Evaluating ... ...

A_fo = -49.3180315102791

STEP 3: Convert Result to Output's Unit

-49.3180315102791 --> No Conversion Required

FINAL ANSWER

-49.3180315102791 ≈ -49.318032 <-- Bipolar Cascode 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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National Institute Of Technology (NIT), Hamirpur

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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

Open Circuit Bipolar Cascode Voltage Gain Formula

Why cascode amplifier is used?

The cascode amplifier, with its variations, is a key element in the circuit designer's tool kit of useful circuits. It has advantages for increasing bandwidth and for high-voltage amplifier applications. A cascode amplifier has a high gain, moderately high input impedance, a high output impedance, and high bandwidth.

How to Calculate Open Circuit Bipolar Cascode Voltage Gain?

Open Circuit Bipolar Cascode Voltage Gain calculator uses 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 to calculate the Bipolar Cascode Voltage Gain, The Open Circuit Bipolar Cascode Voltage Gain formula is defined as a measure of the ability of a two-port circuit (often an amplifier) to increase the power or amplitude of a signal from the input to the output port by adding energy converted from some power supply to the signal. Bipolar Cascode Voltage Gain is denoted by A_fo symbol.

How to calculate Open Circuit Bipolar Cascode Voltage Gain using this online calculator? To use this online calculator for Open Circuit Bipolar Cascode Voltage Gain, enter MOSFET Primary Transconductance (g_mp), MOSFET Secondary Transconductance (g_ms), Finite Output Resistance (R_out), Finite Output Resistance of Transistor 1 (R_out1) & Small Signal Input Resistance (R_sm) and hit the calculate button. Here is how the Open Circuit Bipolar Cascode Voltage Gain calculation can be explained with given input values -> -49.315537 = -0.01977*(0.01085*350)*(1/1201+1/1450)^-1.

FAQ

What is Open Circuit Bipolar Cascode Voltage Gain?

The Open Circuit Bipolar Cascode Voltage Gain formula is defined as a measure of the ability of a two-port circuit (often an amplifier) to increase the power or amplitude of a signal from the input to the output port by adding energy converted from some power supply to the signal and is represented as A_fo = -g_mp*(g_ms*R_out)*(1/R_out1+1/R_sm)^-1 or 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. 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 Secondary 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, The finite output resistance of transistor 1 is a measure of how much the transistor's output impedance varies with changes in the output voltage & Small signal input resistance 2 between Base and emitter models how the input impedance between the base and emitter terminals of the transistor changes when a small AC signal is applied.

How to calculate Open Circuit Bipolar Cascode Voltage Gain?

The Open Circuit Bipolar Cascode Voltage Gain formula is defined as a measure of the ability of a two-port circuit (often an amplifier) to increase the power or amplitude of a signal from the input to the output port by adding energy converted from some power supply to the signal is calculated using 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. To calculate Open Circuit Bipolar Cascode Voltage Gain, you need MOSFET Primary Transconductance (g_mp), MOSFET Secondary Transconductance (g_ms), Finite Output Resistance (R_out), Finite Output Resistance of Transistor 1 (R_out1) & Small Signal Input Resistance (R_sm). With our tool, you need to enter the respective value for MOSFET Primary Transconductance, MOSFET Secondary Transconductance, Finite Output Resistance, Finite Output Resistance of Transistor 1 & Small Signal Input 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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