Input Resistance of Common Gate Circuit given Transconductance Calculator

✖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.ⓘ Transconductance [G_m]			+10% -10%
✖Load Resistance is the external resistance or impedance that is connected to the output of a circuit or device, and it is used to extract power or signal from the circuit.ⓘ Load Resistance [R_L]			+10% -10%
✖Finite output resistance is 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.ⓘ Finite Output Resistance [R_fo]			+10% -10%

✖Input Resistance is the resistance seen by the current source or voltage source which drives the circuit.ⓘ Input Resistance of Common Gate Circuit given Transconductance [R_in]

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Input Resistance of Common Gate Circuit given Transconductance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Input Resistance = (1/Transconductance)+(Load Resistance/(Transconductance*Finite Output Resistance))
R_in = (1/G_m)+(R_L/(G_m*R_fo))
This formula uses 4 Variables

Variables Used

Input Resistance - (Measured in Ohm) - Input Resistance is the resistance seen by the current source or voltage source which drives the circuit.
Transconductance - (Measured in Siemens) - 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.
Load Resistance - (Measured in Ohm) - Load Resistance is the external resistance or impedance that is connected to the output of a circuit or device, and it is used to extract power or signal from the circuit.
Finite Output Resistance - (Measured in Ohm) - Finite output resistance is 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.

STEP 1: Convert Input(s) to Base Unit

Transconductance: 1.72 Millisiemens --> 0.00172 Siemens (Check conversion here)
Load Resistance: 4 Kilohm --> 4000 Ohm (Check conversion here)
Finite Output Resistance: 9.15 Kilohm --> 9150 Ohm (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_in = (1/G_m)+(R_L/(G_m*R_fo)) --> (1/0.00172)+(4000/(0.00172*9150))

Evaluating ... ...

R_in = 835.55724996823

STEP 3: Convert Result to Output's Unit

835.55724996823 Ohm -->0.83555724996823 Kilohm (Check conversion here)

FINAL ANSWER

0.83555724996823 ≈ 0.835557 Kilohm <-- Input Resistance

(Calculation completed in 00.020 seconds)

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Input Resistance of Common Gate Circuit given Transconductance Formula

LaTeX Go

Input Resistance = (1/Transconductance)+(Load Resistance/(Transconductance*Finite Output Resistance))
R_in = (1/G_m)+(R_L/(G_m*R_fo))

What is the use of common-gate circuit?

Common-gate circuit configuration normally used as a voltage amplifier. The source of FET in this configuration is operating as input and drain as output.

How to Calculate Input Resistance of Common Gate Circuit given Transconductance?

Input Resistance of Common Gate Circuit given Transconductance calculator uses Input Resistance = (1/Transconductance)+(Load Resistance/(Transconductance*Finite Output Resistance)) to calculate the Input Resistance, The Input resistance of common gate circuit given transconductance formula is defined as the measure of the opposition to current, both static and dynamic, into the load network that is external to the electrical source. Input Resistance is denoted by R_in symbol.

How to calculate Input Resistance of Common Gate Circuit given Transconductance using this online calculator? To use this online calculator for Input Resistance of Common Gate Circuit given Transconductance, enter Transconductance (G_m), Load Resistance (R_L) & Finite Output Resistance (R_fo) and hit the calculate button. Here is how the Input Resistance of Common Gate Circuit given Transconductance calculation can be explained with given input values -> 0.000836 = (1/0.00172)+(4000/(0.00172*9150)).

FAQ

What is Input Resistance of Common Gate Circuit given Transconductance?

The Input resistance of common gate circuit given transconductance formula is defined as the measure of the opposition to current, both static and dynamic, into the load network that is external to the electrical source and is represented as R_in = (1/G_m)+(R_L/(G_m*R_fo)) or Input Resistance = (1/Transconductance)+(Load Resistance/(Transconductance*Finite Output 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, Load Resistance is the external resistance or impedance that is connected to the output of a circuit or device, and it is used to extract power or signal from the circuit & Finite output resistance is 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.

How to calculate Input Resistance of Common Gate Circuit given Transconductance?

The Input resistance of common gate circuit given transconductance formula is defined as the measure of the opposition to current, both static and dynamic, into the load network that is external to the electrical source is calculated using Input Resistance = (1/Transconductance)+(Load Resistance/(Transconductance*Finite Output Resistance)). To calculate Input Resistance of Common Gate Circuit given Transconductance, you need Transconductance (G_m), Load Resistance (R_L) & Finite Output Resistance (R_fo). With our tool, you need to enter the respective value for Transconductance, Load Resistance & Finite Output 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 Input Resistance?

In this formula, Input Resistance uses Transconductance, Load Resistance & Finite Output Resistance. We can use 1 other way(s) to calculate the same, which is/are as follows -

Input Resistance = Input Voltage/Signal Current

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