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Open Circuit Bipolar Cascode Voltage Gain Formula

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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. Check FAQs

A fo = - g mp \cdot (g ms \cdot R out) \cdot {(\frac{1}{R out1} + \frac{1}{R sm})}^{- 1}

A_fo - Bipolar Cascode Voltage Gain?g_mp - MOSFET Primary Transconductance?g_ms - MOSFET Secondary Transconductance?R_out - Finite Output Resistance?R_out1 - Finite Output Resistance of Transistor 1?R_sm - Small Signal Input Resistance?

Open Circuit Bipolar Cascode Voltage Gain Example

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With units

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Here is how the Open Circuit Bipolar Cascode Voltage Gain equation looks like with Values.

Here is how the Open Circuit Bipolar Cascode Voltage Gain equation looks like with Units.

Here is how the Open Circuit Bipolar Cascode Voltage Gain equation looks like.

-49.318 = - 19.77 \cdot (10.85 \cdot 0.35) \cdot {(\frac{1}{1.201} + \frac{1}{1.45})}^{- 1}

-49.318 = - 19.77mS \cdot (10.85mS \cdot 0.35kΩ) \cdot {(\frac{1}{1.201kΩ} + \frac{1}{1.45kΩ})}^{- 1}

-49.318 = - 19.77 \cdot (10.85 \cdot 0.35) \cdot {(\frac{1}{1.201} + \frac{1}{1.45})}^{- 1}

Tip: Use pencil () icon above to edit Input Values and Units.

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Open Circuit Bipolar Cascode Voltage Gain Solution

Follow our step by step solution on how to calculate Open Circuit Bipolar Cascode Voltage Gain?

FIRST Step Consider the formula

A fo = - g mp \cdot (g ms \cdot R out) \cdot {(\frac{1}{R out1} + \frac{1}{R sm})}^{- 1}

Next Step Substitute values of Variables

∴

A fo = - 19.77mS \cdot (10.85mS \cdot 0.35kΩ) \cdot {(\frac{1}{1.201kΩ} + \frac{1}{1.45kΩ})}^{- 1}

Next Step Convert Units

∴

A fo = - 0.0198S \cdot (0.0108S \cdot 350Ω) \cdot {(\frac{1}{1201Ω} + \frac{1}{1450Ω})}^{- 1}

Next Step Prepare to Evaluate

∴

A fo = - 0.0198 \cdot (0.0108 \cdot 350) \cdot {(\frac{1}{1201} + \frac{1}{1450})}^{- 1}

Next Step Evaluate

∴

A fo = -49.3180315102791

LAST Step Rounding Answer

∴

A fo = -49.318

Open Circuit Bipolar Cascode Voltage Gain Formula Elements

Variables

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.

Symbol: A_fo

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

MOSFET Primary Transconductance

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.

Symbol: g_mp

Measurement: TransconductanceUnit: mS

Note: Value should be greater than 0.

MOSFET Secondary Transconductance

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.

Symbol: g_ms

Measurement: Electric ConductanceUnit: mS

Note: Value should be greater than 0.

Finite Output Resistance

The finite output resistance is a measure of how much the transistor's output impedance varies with changes in the output voltage.

Symbol: R_out

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Finite Output Resistance of Transistor 1

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.

Symbol: R_out1

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Small Signal Input Resistance

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.

Symbol: R_sm

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Credits

Creator Image

Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has created this Formula and 600+ more formulas!

Verifier Image

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Formula and 2500+ more formulas!

Other formulas in Cascode Ampifier category

Go Drain Resistance of Cascode Amplifier

R d = (\frac{A vo}{{g mp}^{2} \cdot R out})

Go Equivalent Resistance of Cascode Amplifier

R dg = {(\frac{1}{R out1} + \frac{1}{R in})}^{- 1}

Go Output voltage gain of MOS Cascode Amplifier

A vo = - {g mp}^{2} \cdot R out \cdot R d

Go Negative Voltage Gain of Cascode Amplifier

A vn = - (g mp \cdot R dg)

See More

How to Evaluate Open Circuit Bipolar Cascode Voltage Gain?

Open Circuit Bipolar Cascode Voltage Gain evaluator 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 evaluate 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 evaluate Open Circuit Bipolar Cascode Voltage Gain using this online evaluator? To use this online evaluator 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.

FAQs on Open Circuit Bipolar Cascode Voltage Gain

What is the formula to find Open Circuit Bipolar Cascode Voltage Gain?

The formula of Open Circuit Bipolar Cascode Voltage Gain is expressed as 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. Here is an example- -49.315537 = -0.01977*(0.01085*350)*(1/1201+1/1450)^-1.

How to calculate Open Circuit Bipolar Cascode Voltage Gain?

With 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) we can find Open Circuit Bipolar Cascode Voltage Gain using the formula - 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.

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