Transconductance of Transistor Amplifiers Calculator

✖Drain current below threshold voltage is defined as the subthreshold current and varies exponentially with gate to source voltage.ⓘ Drain Current [i_d]			+10% -10%
✖Voltage across oxide is due to the charge at the oxide-semiconductor interface and the third term is due to the charge density in the oxide.ⓘ Voltage across Oxide [V_ox]			+10% -10%
✖Threshold voltage of transistor is the minimum gate to source voltage that is needed to create a conducting path between the source and drain terminals.ⓘ Threshold Voltage [V_t]			+10% -10%

✖MOSFET Primary Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage.ⓘ Transconductance of Transistor Amplifiers [g_mp]

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Transconductance of Transistor Amplifiers Solution

STEP 0: Pre-Calculation Summary

Formula Used

MOSFET Primary Transconductance = (2*Drain Current)/(Voltage across Oxide-Threshold Voltage)
g_mp = (2*i_d)/(V_ox-V_t)
This formula uses 4 Variables

Variables Used

MOSFET Primary Transconductance - (Measured in Siemens) - MOSFET Primary Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage.
Drain Current - (Measured in Ampere) - Drain current below threshold voltage is defined as the subthreshold current and varies exponentially with gate to source voltage.
Voltage across Oxide - (Measured in Volt) - Voltage across oxide is due to the charge at the oxide-semiconductor interface and the third term is due to the charge density in the oxide.
Threshold Voltage - (Measured in Volt) - Threshold voltage of transistor is the minimum gate to source voltage that is needed to create a conducting path between the source and drain terminals.

STEP 1: Convert Input(s) to Base Unit

Drain Current: 17.5 Milliampere --> 0.0175 Ampere (Check conversion here)
Voltage across Oxide: 3.775 Volt --> 3.775 Volt No Conversion Required
Threshold Voltage: 2 Volt --> 2 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

g_mp = (2*i_d)/(V_ox-V_t) --> (2*0.0175)/(3.775-2)

Evaluating ... ...

g_mp = 0.0197183098591549

STEP 3: Convert Result to Output's Unit

0.0197183098591549 Siemens -->19.7183098591549 Millisiemens (Check conversion here)

FINAL ANSWER

19.7183098591549 ≈ 19.71831 Millisiemens <-- MOSFET Primary Transconductance

(Calculation completed in 00.004 seconds)

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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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Jaipur Engineering College and Research Centre (JECRC), Jaipur

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< Transistor Amplifier Characteristics Calculators

Current Flowing through Induced Channel in Transistor given Oxide Voltage

LaTeX Go Output Current = (Mobility of Electron*Oxide Capacitance*(Width of Channel/Length of Channel)*(Voltage across Oxide-Threshold Voltage))*Saturation Voltage between Drain and Source

Current Entering Drain Terminal of MOSFET at Saturation

LaTeX Go Saturation Drain Current = 1/2*Process Transconductance Parameter*(Width of Channel/Length of Channel)*(Effective Voltage)^2

Total Instantaneous Drain Voltage

LaTeX Go Total Instantaneous Drain Voltage = Fundamental Component Voltage-Drain Resistance*Drain Current

Input Voltage in Transistor

LaTeX Go Fundamental Component Voltage = Drain Resistance*Drain Current-Total Instantaneous Drain Voltage

Transconductance of Transistor Amplifiers Formula

LaTeX Go

MOSFET Primary Transconductance = (2*Drain Current)/(Voltage across Oxide-Threshold Voltage)
g_mp = (2*i_d)/(V_ox-V_t)

What is the use of transconductance in MOSFET?

Transconductance is an expression of the performance of a bipolar transistor or field-effect transistor (FET). In general, the larger the transconductance figure for a device, the greater the gain(amplification) it is capable of delivering, when all other factors are held constant.

How to Calculate Transconductance of Transistor Amplifiers?

Transconductance of Transistor Amplifiers calculator uses MOSFET Primary Transconductance = (2*Drain Current)/(Voltage across Oxide-Threshold Voltage) to calculate the MOSFET Primary Transconductance, The Transconductance of transistor amplifiers formula defines the relationship between the change in the output current and the change in the input voltage. It quantifies how effectively the transistor can amplify variations in the input voltage by producing corresponding changes in the output current. MOSFET Primary Transconductance is denoted by g_mp symbol.

How to calculate Transconductance of Transistor Amplifiers using this online calculator? To use this online calculator for Transconductance of Transistor Amplifiers, enter Drain Current (i_d), Voltage across Oxide (V_ox) & Threshold Voltage (V_t) and hit the calculate button. Here is how the Transconductance of Transistor Amplifiers calculation can be explained with given input values -> 19718.31 = (2*0.0175)/(3.775-2).

FAQ

What is Transconductance of Transistor Amplifiers?

The Transconductance of transistor amplifiers formula defines the relationship between the change in the output current and the change in the input voltage. It quantifies how effectively the transistor can amplify variations in the input voltage by producing corresponding changes in the output current and is represented as g_mp = (2*i_d)/(V_ox-V_t) or MOSFET Primary Transconductance = (2*Drain Current)/(Voltage across Oxide-Threshold Voltage). Drain current below threshold voltage is defined as the subthreshold current and varies exponentially with gate to source voltage, Voltage across oxide is due to the charge at the oxide-semiconductor interface and the third term is due to the charge density in the oxide & Threshold voltage of transistor is the minimum gate to source voltage that is needed to create a conducting path between the source and drain terminals.

How to calculate Transconductance of Transistor Amplifiers?

The Transconductance of transistor amplifiers formula defines the relationship between the change in the output current and the change in the input voltage. It quantifies how effectively the transistor can amplify variations in the input voltage by producing corresponding changes in the output current is calculated using MOSFET Primary Transconductance = (2*Drain Current)/(Voltage across Oxide-Threshold Voltage). To calculate Transconductance of Transistor Amplifiers, you need Drain Current (i_d), Voltage across Oxide (V_ox) & Threshold Voltage (V_t). With our tool, you need to enter the respective value for Drain Current, Voltage across Oxide & Threshold Voltage 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 MOSFET Primary Transconductance?

In this formula, MOSFET Primary Transconductance uses Drain Current, Voltage across Oxide & Threshold Voltage. We can use 1 other way(s) to calculate the same, which is/are as follows -

MOSFET Primary Transconductance = Collector Current/Threshold Voltage

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