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## Credits

Birsa Institute of Technology (BIT), Sindri
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## Drain resistance in the cascode amplifier Solution

STEP 0: Pre-Calculation Summary
Formula Used
drain_resistance = 1/Finite input resistance+1/Input resistance
rd = 1/rπ+1/Ri
This formula uses 2 Variables
Variables Used
Finite input resistance - Finite input resistance is the finite resistance seen by the current source or voltage source which drives the circuit. (Measured in Ohm)
Input resistance - Input resistance is the resistance value of the voltage amplifier (Measured in Ohm)
STEP 1: Convert Input(s) to Base Unit
Finite input resistance: 20 Ohm --> 20 Ohm No Conversion Required
Input resistance: 100000 Ohm --> 100000 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rd = 1/rπ+1/Ri --> 1/20+1/100000
Evaluating ... ...
rd = 0.05001
STEP 3: Convert Result to Output's Unit
0.05001 Ohm --> No Conversion Required
0.05001 Ohm <-- drain resistance
(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 = 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
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

### Drain resistance in the cascode amplifier Formula

drain_resistance = 1/Finite input resistance+1/Input resistance
rd = 1/rπ+1/Ri

## 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 Drain resistance in the cascode amplifier?

Drain resistance in the cascode amplifier calculator uses drain_resistance = 1/Finite input resistance+1/Input resistance to calculate the drain resistance, The Drain resistance in the cascode amplifier formula is defined as the ratio of change in the drain to source voltage to a corresponding change in drain current for a constant gate to source voltage. drain resistance and is denoted by rd symbol.

How to calculate Drain resistance in the cascode amplifier using this online calculator? To use this online calculator for Drain resistance in the cascode amplifier, enter Finite input resistance (rπ) and Input resistance (Ri) and hit the calculate button. Here is how the Drain resistance in the cascode amplifier calculation can be explained with given input values -> 0.05001 = 1/20+1/100000.

### FAQ

What is Drain resistance in the cascode amplifier?
The Drain resistance in the cascode amplifier formula is defined as the ratio of change in the drain to source voltage to a corresponding change in drain current for a constant gate to source voltage and is represented as rd = 1/rπ+1/Ri or drain_resistance = 1/Finite input resistance+1/Input resistance. Finite input resistance is the finite resistance seen by the current source or voltage source which drives the circuit and Input resistance is the resistance value of the voltage amplifier.
How to calculate Drain resistance in the cascode amplifier?
The Drain resistance in the cascode amplifier formula is defined as the ratio of change in the drain to source voltage to a corresponding change in drain current for a constant gate to source voltage is calculated using drain_resistance = 1/Finite input resistance+1/Input resistance. To calculate Drain resistance in the cascode amplifier, you need Finite input resistance (rπ) and Input resistance (Ri). With our tool, you need to enter the respective value for Finite input resistance and Input resistance 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 drain resistance?
In this formula, drain resistance uses Finite input resistance and Input resistance. 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 Drain resistance in the cascode amplifier calculator used?
Among many, Drain resistance in the cascode amplifier calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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