Downwards Resistance of Cascode Differential Half Circuit Solution

STEP 0: Pre-Calculation Summary
Formula Used
Downwards Resistance of Cascode Differential = (Transconductance*Equivalent Resistance from Secondary)*Resistance of Primary Winding in Secondary
Ron = (gm*R02)*R'1
This formula uses 4 Variables
Variables Used
Downwards Resistance of Cascode Differential - (Measured in Ohm) - Downwards resistance of cascode differential half-circuit is the resistance produced in the bottom side of the amplifier.
Transconductance - (Measured in Siemens) - Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage.
Equivalent Resistance from Secondary - (Measured in Ohm) - Equivalent resistance from Secondary side is the total secondary side resistance.
Resistance of Primary Winding in Secondary - (Measured in Ohm) - The Resistance of Primary Winding in Secondary of a MOSFET is the opposition to the current flowing through it. It depends on the specific MOSFET design and the operating conditions.
STEP 1: Convert Input(s) to Base Unit
Transconductance: 0.25 Millisiemens --> 0.00025 Siemens (Check conversion ​here)
Equivalent Resistance from Secondary: 0.91 Kilohm --> 910 Ohm (Check conversion ​here)
Resistance of Primary Winding in Secondary: 5.8 Kilohm --> 5800 Ohm (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ron = (gm*R02)*R'1 --> (0.00025*910)*5800
Evaluating ... ...
Ron = 1319.5
STEP 3: Convert Result to Output's Unit
1319.5 Ohm -->1.3195 Kilohm (Check conversion ​here)
FINAL ANSWER
1.3195 Kilohm <-- Downwards Resistance of Cascode Differential
(Calculation completed in 00.020 seconds)

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Birsa Institute of Technology (BIT), Sindri
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Cascode Configuration Calculators

Downwards Resistance of Cascode Differential Half Circuit
​ LaTeX ​ Go Downwards Resistance of Cascode Differential = (Transconductance*Equivalent Resistance from Secondary)*Resistance of Primary Winding in Secondary
Upwards Resistance of Cascode Differential Half-Circuit
​ LaTeX ​ Go Upwards Resistance of Cascode Differential = (Transconductance*Equivalent Resistance from Secondary)*Equivalent Resistance from Primary
Voltage Gain of Cascode Differential Amplifier given Transconductance
​ LaTeX ​ Go Voltage Gain = Differential Output Signal/Differential Input Voltage

Downwards Resistance of Cascode Differential Half Circuit Formula

​LaTeX ​Go
Downwards Resistance of Cascode Differential = (Transconductance*Equivalent Resistance from Secondary)*Resistance of Primary Winding in Secondary
Ron = (gm*R02)*R'1

What is a cascode differential amplifier ?

The cascode amplifier, with its variations, is a key element in the circuit designer's tool kit of useful circuits. It has advantages for increasing bandwidth and for high-voltage amplifier applications. A cascode amplifier has a high gain, moderately high input impedance, a high output impedance, and high bandwidth.

How do differential amplifiers work?

A differential amplifier multiplies the voltage difference between two inputs (Vin+ - Vin-) by some constant factor Ad, the differential gain. A differential amplifier also tends to reject the part of the input signals that are common to both inputs (Vin+ + Vin)/2 . This is referred to as the common-mode signal.

How to Calculate Downwards Resistance of Cascode Differential Half Circuit?

Downwards Resistance of Cascode Differential Half Circuit calculator uses Downwards Resistance of Cascode Differential = (Transconductance*Equivalent Resistance from Secondary)*Resistance of Primary Winding in Secondary to calculate the Downwards Resistance of Cascode Differential, The Downwards resistance of cascode differential half circuit formula is defined as the product of transconductance and the third and first resistance in the half-circuit. Downwards Resistance of Cascode Differential is denoted by Ron symbol.

How to calculate Downwards Resistance of Cascode Differential Half Circuit using this online calculator? To use this online calculator for Downwards Resistance of Cascode Differential Half Circuit, enter Transconductance (gm), Equivalent Resistance from Secondary (R02) & Resistance of Primary Winding in Secondary (R'1) and hit the calculate button. Here is how the Downwards Resistance of Cascode Differential Half Circuit calculation can be explained with given input values -> 0.00132 = (0.00025*910)*5800.

FAQ

What is Downwards Resistance of Cascode Differential Half Circuit?
The Downwards resistance of cascode differential half circuit formula is defined as the product of transconductance and the third and first resistance in the half-circuit and is represented as Ron = (gm*R02)*R'1 or Downwards Resistance of Cascode Differential = (Transconductance*Equivalent Resistance from Secondary)*Resistance of Primary Winding in 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, Equivalent resistance from Secondary side is the total secondary side resistance & The Resistance of Primary Winding in Secondary of a MOSFET is the opposition to the current flowing through it. It depends on the specific MOSFET design and the operating conditions.
How to calculate Downwards Resistance of Cascode Differential Half Circuit?
The Downwards resistance of cascode differential half circuit formula is defined as the product of transconductance and the third and first resistance in the half-circuit is calculated using Downwards Resistance of Cascode Differential = (Transconductance*Equivalent Resistance from Secondary)*Resistance of Primary Winding in Secondary. To calculate Downwards Resistance of Cascode Differential Half Circuit, you need Transconductance (gm), Equivalent Resistance from Secondary (R02) & Resistance of Primary Winding in Secondary (R'1). With our tool, you need to enter the respective value for Transconductance, Equivalent Resistance from Secondary & Resistance of Primary Winding in Secondary and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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