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

STEP 0: Pre-Calculation Summary
Formula Used
resistance_gate_to_drain = (1+(Transconductance*drain resistance))*Signal Resistance+drain resistance
Rgd = (1+(gm*rd))*Rs+rd
This formula uses 3 Variables
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)
drain resistance - drain resistance is the ratio of change in drain to source voltage to corresponding change in drain current for a constant gate to source voltage. (Measured in Ohm)
Signal Resistance- Signal Resistance is the resistance which is fed with the signal voltage source vs to an Amplifier
STEP 1: Convert Input(s) to Base Unit
Transconductance: 8 Ampere per Volt --> 8 Siemens (Check conversion here)
drain resistance: 10 Ohm --> 10 Ohm No Conversion Required
Signal Resistance: 1 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rgd = (1+(gm*rd))*Rs+rd --> (1+(8*10))*1+10
Evaluating ... ...
Rgd = 91
STEP 3: Convert Result to Output's Unit
91 Ohm --> No Conversion Required
FINAL ANSWER
91 Ohm <-- Resistance across gate and drain
(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

### Gate to drain resistance in the cascode amplifier Formula

resistance_gate_to_drain = (1+(Transconductance*drain resistance))*Signal Resistance+drain resistance
Rgd = (1+(gm*rd))*Rs+rd

## What is cascode amplifier?

Cascode amplifier is a two-stage circuit consisting of a transconductance amplifier followed by a buffer amplifier. The word “cascode” was originated from the phrase “cascade to cathode”. Cascode amplifier is generally constructed using FET ( field effect transistor) or BJT ( bipolar junction transistor).

## How to Calculate Gate to drain resistance in the cascode amplifier?

Gate to drain resistance in the cascode amplifier calculator uses resistance_gate_to_drain = (1+(Transconductance*drain resistance))*Signal Resistance+drain resistance to calculate the Resistance across gate and drain, The Gate to drain resistance in the cascode amplifier formula is defined as a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω). Resistance across gate and drain and is denoted by Rgd symbol.

How to calculate Gate to drain resistance in the cascode amplifier using this online calculator? To use this online calculator for Gate to drain resistance in the cascode amplifier, enter Transconductance (gm), drain resistance (rd) and Signal Resistance (Rs) and hit the calculate button. Here is how the Gate to drain resistance in the cascode amplifier calculation can be explained with given input values -> 91 = (1+(8*10))*1+10.

### FAQ

What is Gate to drain resistance in the cascode amplifier?
The Gate to drain resistance in the cascode amplifier formula is defined as a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω) and is represented as Rgd = (1+(gm*rd))*Rs+rd or resistance_gate_to_drain = (1+(Transconductance*drain resistance))*Signal Resistance+drain resistance. 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, drain resistance is the ratio of change in drain to source voltage to corresponding change in drain current for a constant gate to source voltage and Signal Resistance is the resistance which is fed with the signal voltage source vs to an Amplifier.
How to calculate Gate to drain resistance in the cascode amplifier?
The Gate to drain resistance in the cascode amplifier formula is defined as a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω) is calculated using resistance_gate_to_drain = (1+(Transconductance*drain resistance))*Signal Resistance+drain resistance. To calculate Gate to drain resistance in the cascode amplifier, you need Transconductance (gm), drain resistance (rd) and Signal Resistance (Rs). With our tool, you need to enter the respective value for Transconductance, drain resistance and Signal 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 Resistance across gate and drain?
In this formula, Resistance across gate and drain uses Transconductance, drain resistance and Signal 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 Gate to drain resistance in the cascode amplifier calculator used?
Among many, Gate to 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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