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## Credits

Birsa Institute of Technology (BIT), Sindri
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## Unity gain frequency of the MOS cascode amplifier Solution

STEP 0: Pre-Calculation Summary
Formula Used
unity_gain_frequency = Transconductance/((2*pi)*(Capacitance+Capacitance gate to drain))
ft = gm/((2*pi)*(C+Cgd))
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Transconductance - 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. (Measured in Ampere per Volt)
Capacitance - Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential. (Measured in Farad)
Capacitance gate to drain - Capacitance gate to drain is capacitance (Measured in Farad)
STEP 1: Convert Input(s) to Base Unit
Transconductance: 8 Ampere per Volt --> 8 Siemens (Check conversion here)
Capacitance: 3 Farad --> 3 Farad No Conversion Required
Capacitance gate to drain: 3 Farad --> 3 Farad No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ft = gm/((2*pi)*(C+Cgd)) --> 8/((2*pi)*(3+3))
Evaluating ... ...
ft = 0.212206590789194
STEP 3: Convert Result to Output's Unit
0.212206590789194 Hertz --> No Conversion Required
FINAL ANSWER
0.212206590789194 Hertz <-- Unity-gain frequency
(Calculation completed in 00.016 seconds)

## < 10+ High-Frequency Response of the MOS Cascode Amplifier Calculators

Effective time-constant of the cascode amplifier
effective_high_frequency_time_constant = (Capacitance gate to source*Signal Resistance)+Capacitance gate to drain*((1+(Transconductance*drain resistance)*Signal Resistance)+drain resistance)+(Drain-body Capacitance+Capacitance gate to source)*drain resistance+(Capacitance+Capacitance gate to drain)*(1/Load resistance+1/Output resistance) Go
Effective time-constant of the MOS cascode amplifier
time_constant = (Signal Resistance*(Capacitance gate to source+Capacitance gate to drain*(1+(Transconductance*drain resistance))))+drain resistance*(Capacitance gate to drain+Drain-body Capacitance+Capacitance gate to source)+(1/Load resistance+1/Output resistance)*(Capacitance+Capacitance gate to drain) Go
Output resistance of the cascode amplifier
resistance_output = Resistance of Secondary winding in primary+Resistance of Primary winding in Secondary+(Transconductance*Resistance of Secondary winding in primary)*Resistance of Primary winding in Secondary Go
3-dB frequency in design insight and trade-off
3_db_frequency = 1/((2*pi)*(Capacitance+Capacitance gate to drain)*(1/Load resistance+1/Output resistance)) Go
Gate to drain resistance in the cascode amplifier
resistance_gate_to_drain = (1+(Transconductance*drain resistance))*Signal Resistance+drain resistance Go
Effective time-constant in design insight and trade-off
time_constant = (Capacitance+Capacitance gate to drain)*(1/Load resistance+1/Output resistance) Go
Unity gain frequency of the MOS cascode amplifier
unity_gain_frequency = Transconductance/((2*pi)*(Capacitance+Capacitance gate to drain)) Go
Signal current in the base
signal_current_in_the_base = (MOSFET Transconductance/Common emitter current gain)*Small Signal Go
Drain resistance in the cascode amplifier
drain_resistance = 1/Finite input resistance+1/Input resistance Go
3-dB frequency of the cascode amplifier
3_db_frequency = 1/(2*pi*Time constant) Go

### Unity gain frequency of the MOS cascode amplifier Formula

unity_gain_frequency = Transconductance/((2*pi)*(Capacitance+Capacitance gate to drain))
ft = gm/((2*pi)*(C+Cgd))

## What is the difference between Cascade and Cascode amplifier?

In a cascade amplifier, the transistors are arranged like a chain that is the output of the first transistor is connected as input for the second transistor. While in a cascode amplifier, the transistor is placed one above the other.

## How to Calculate Unity gain frequency of the MOS cascode amplifier?

Unity gain frequency of the MOS cascode amplifier calculator uses unity_gain_frequency = Transconductance/((2*pi)*(Capacitance+Capacitance gate to drain)) to calculate the Unity-gain frequency, The Unity gain frequency of the MOS cascode amplifier formula is defined as simply the frequency of an input signal at which the open-loop gain is equal to 1. Note that the open-loop gain is the measured maximum gain of the amplifier when no components are present in the feedback loop. Unity-gain frequency and is denoted by ft symbol.

How to calculate Unity gain frequency of the MOS cascode amplifier using this online calculator? To use this online calculator for Unity gain frequency of the MOS cascode amplifier, enter Transconductance (gm), Capacitance (C) and Capacitance gate to drain (Cgd) and hit the calculate button. Here is how the Unity gain frequency of the MOS cascode amplifier calculation can be explained with given input values -> 0.212207 = 8/((2*pi)*(3+3)).

### FAQ

What is Unity gain frequency of the MOS cascode amplifier?
The Unity gain frequency of the MOS cascode amplifier formula is defined as simply the frequency of an input signal at which the open-loop gain is equal to 1. Note that the open-loop gain is the measured maximum gain of the amplifier when no components are present in the feedback loop and is represented as ft = gm/((2*pi)*(C+Cgd)) or unity_gain_frequency = Transconductance/((2*pi)*(Capacitance+Capacitance gate to drain)). 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, Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential and Capacitance gate to drain is capacitance.
How to calculate Unity gain frequency of the MOS cascode amplifier?
The Unity gain frequency of the MOS cascode amplifier formula is defined as simply the frequency of an input signal at which the open-loop gain is equal to 1. Note that the open-loop gain is the measured maximum gain of the amplifier when no components are present in the feedback loop is calculated using unity_gain_frequency = Transconductance/((2*pi)*(Capacitance+Capacitance gate to drain)). To calculate Unity gain frequency of the MOS cascode amplifier, you need Transconductance (gm), Capacitance (C) and Capacitance gate to drain (Cgd). With our tool, you need to enter the respective value for Transconductance, Capacitance and Capacitance gate to drain 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 Unity-gain frequency?
In this formula, Unity-gain frequency uses Transconductance, Capacitance and Capacitance gate to drain. We can use 10 other way(s) to calculate the same, which is/are as follows -
• resistance_gate_to_drain = (1+(Transconductance*drain resistance))*Signal Resistance+drain resistance
• drain_resistance = 1/Finite input resistance+1/Input resistance
• resistance_output = Resistance of Secondary winding in primary+Resistance of Primary winding in Secondary+(Transconductance*Resistance of Secondary winding in primary)*Resistance of Primary winding in Secondary
• effective_high_frequency_time_constant = (Capacitance gate to source*Signal Resistance)+Capacitance gate to drain*((1+(Transconductance*drain resistance)*Signal Resistance)+drain resistance)+(Drain-body Capacitance+Capacitance gate to source)*drain resistance+(Capacitance+Capacitance gate to drain)*(1/Load resistance+1/Output resistance)
• 3_db_frequency = 1/(2*pi*Time constant)
• time_constant = (Signal Resistance*(Capacitance gate to source+Capacitance gate to drain*(1+(Transconductance*drain resistance))))+drain resistance*(Capacitance gate to drain+Drain-body Capacitance+Capacitance gate to source)+(1/Load resistance+1/Output resistance)*(Capacitance+Capacitance gate to drain)
• time_constant = (Capacitance+Capacitance gate to drain)*(1/Load resistance+1/Output resistance)
• 3_db_frequency = 1/((2*pi)*(Capacitance+Capacitance gate to drain)*(1/Load resistance+1/Output resistance))
• unity_gain_frequency = Transconductance/((2*pi)*(Capacitance+Capacitance gate to drain))
• signal_current_in_the_base = (MOSFET Transconductance/Common emitter current gain)*Small Signal
Where is the Unity gain frequency of the MOS cascode amplifier calculator used?
Among many, Unity gain frequency of the MOS cascode amplifier calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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