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Output resistance of the cascode amplifier Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
Ro = R2'+R1'+(gm*R2')*R1'
This formula uses 3 Variables
Variables Used
Resistance of Secondary winding in primary - Resistance of Secondary winding in primary is the Resistance of Secondary winding in primary. (Measured in Ohm)
Resistance of Primary winding in Secondary - Resistance of Primary winding in Secondary is the Resistance of Primary winding in Secondary. (Measured in Ohm)
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)
STEP 1: Convert Input(s) to Base Unit
Resistance of Secondary winding in primary: 6 Ohm --> 6 Ohm No Conversion Required
Resistance of Primary winding in Secondary: 5 Ohm --> 5 Ohm No Conversion Required
Transconductance: 8 Ampere per Volt --> 8 Siemens (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ro = R2'+R1'+(gm*R2')*R1' --> 6+5+(8*6)*5
Evaluating ... ...
Ro = 251
STEP 3: Convert Result to Output's Unit
251 Ohm --> No Conversion Required
FINAL ANSWER
251 Ohm <-- Output 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 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

Output resistance of the cascode amplifier Formula

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
Ro = R2'+R1'+(gm*R2')*R1'

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 Output resistance of the cascode amplifier?

Output resistance of the cascode amplifier calculator uses 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 to calculate the Output resistance, The output resistance of the cascode amplifier formula is defined as the measure of the opposition to current flow, both static and dynamic, into the load network being connected that is internal to the electrical source. Output resistance and is denoted by Ro symbol.

How to calculate Output resistance of the cascode amplifier using this online calculator? To use this online calculator for Output resistance of the cascode amplifier, enter Resistance of Secondary winding in primary (R2'), Resistance of Primary winding in Secondary (R1') and Transconductance (gm) and hit the calculate button. Here is how the Output resistance of the cascode amplifier calculation can be explained with given input values -> 251 = 6+5+(8*6)*5.

FAQ

What is Output resistance of the cascode amplifier?
The output resistance of the cascode amplifier formula is defined as the measure of the opposition to current flow, both static and dynamic, into the load network being connected that is internal to the electrical source and is represented as Ro = R2'+R1'+(gm*R2')*R1' or 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. Resistance of Secondary winding in primary is the Resistance of Secondary winding in primary, Resistance of Primary winding in Secondary is the Resistance of Primary winding in Secondary and 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.
How to calculate Output resistance of the cascode amplifier?
The output resistance of the cascode amplifier formula is defined as the measure of the opposition to current flow, both static and dynamic, into the load network being connected that is internal to the electrical source is calculated using 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. To calculate Output resistance of the cascode amplifier, you need Resistance of Secondary winding in primary (R2'), Resistance of Primary winding in Secondary (R1') and Transconductance (gm). With our tool, you need to enter the respective value for Resistance of Secondary winding in primary, Resistance of Primary winding in Secondary and Transconductance 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 Output resistance?
In this formula, Output resistance uses Resistance of Secondary winding in primary, Resistance of Primary winding in Secondary and Transconductance. 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 Output resistance of the cascode amplifier calculator used?
Among many, Output resistance of the cascode amplifier calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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