Short-Circuit Transconductance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Transconductance = Output Current/Input Voltage
Gm = Io/Vin
This formula uses 3 Variables
Variables Used
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.
Output Current - (Measured in Ampere) - The Output Current of the amplifier is defined as the maximum current that can be supplied to the load.
Input Voltage - (Measured in Volt) - Input voltage is the voltage supplied to the device.
STEP 1: Convert Input(s) to Base Unit
Output Current: 4.3 Milliampere --> 0.0043 Ampere (Check conversion here)
Input Voltage: 2.5 Volt --> 2.5 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Gm = Io/Vin --> 0.0043/2.5
Evaluating ... ...
Gm = 0.00172
STEP 3: Convert Result to Output's Unit
0.00172 Siemens -->1.72 Millisiemens (Check conversion here)
FINAL ANSWER
1.72 Millisiemens <-- Transconductance
(Calculation completed in 00.004 seconds)

Credits

Created by Devyaani Garg
Shiv Nadar University (SNU), Greater Noida
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Birsa Institute of Technology (BIT), Sindri
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4 Transconductance Calculators

Body Transconductance
Go Body Transconductance = Back-gate Transconductance Parameter*Transconductance
Transconductance of BJT at Intrinsic Gain
Go Transconductance = Drain Current/Gate to Source Voltage
Transconductance using Collector Current
Go Transconductance = Collector Current/Threshold Voltage
Short-Circuit Transconductance
Go Transconductance = Output Current/Input Voltage

20 BJT Circuit Calculators

Transition Frequency of BJT
Go Transition Frequency = Transconductance/(2*pi*(Emitter-Base Capacitance+Collector-Base Junction Capacitance))
Base Current of PNP Transistor using Saturation Current
Go Base Current = (Saturation Current/Common Emitter Current Gain)*e^(Base-Emitter Voltage/Thermal Voltage)
Total Power Dissipated in BJT
Go Power = Collector-Emitter Voltage*Collector Current+Base-Emitter Voltage*Base Current
Unity-Gain Bandwidth of BJT
Go Unity-Gain Bandwidth = Transconductance/(Emitter-Base Capacitance+Collector-Base Junction Capacitance)
Reference Current of BJT Mirror
Go Reference Current = Collector Current+(2*Collector Current)/Common Emitter Current Gain
Common Mode Rejection Ratio
Go Common Mode Rejection Ratio = 20*log10(Differential Mode Gain/Common Mode Gain)
Output Resistance of BJT
Go Resistance = (Supply Voltage+Collector-Emitter Voltage)/Collector Current
Thermal Equilibrium Concentration of Minority Charge Carrier
Go Thermal Equilibrium Concentration = ((Intrinsic Carrier Density)^2)/Doping Concentration of Base
Output Voltage of BJT Amplifier
Go Output Voltage = Supply Voltage-Drain Current*Load Resistance
Total Power Supplied in BJT
Go Power = Supply Voltage*(Collector Current+Input Current)
Common-Base Current Gain
Go Common-Base Current Gain = Common Emitter Current Gain/(Common Emitter Current Gain+1)
Collector to Emitter Voltage at Saturation
Go Collector-Emitter Voltage = Base-Emitter Voltage-Base-Collector Voltage
Base Current of PNP Transistor given Emitter Current
Go Base Current = Emitter Current/(Common Emitter Current Gain+1)
Base Current of PNP Transistor using Collector Current
Go Base Current = Collector Current/Common Emitter Current Gain
Collector Current using Emitter Current
Go Collector Current = Common-Base Current Gain*Emitter Current
Base Current of PNP Transistor using Common-Base Current Gain
Go Base Current = (1-Common-Base Current Gain)*Emitter Current
Collector Current of BJT
Go Collector Current = Emitter Current-Base Current
Emitter Current of BJT
Go Emitter Current = Collector Current+Base Current
Short-Circuit Transconductance
Go Transconductance = Output Current/Input Voltage
Intrinsic Gain of BJT
Go Intrinsic Gain = Early Voltage/Thermal Voltage

Short-Circuit Transconductance Formula

Transconductance = Output Current/Input Voltage
Gm = Io/Vin

What are the conditions assumed while calculating short circuit transconductance?

It is calculated by considering the condition that instantaneous output voltage is zero. Also Ro and Ri are infinite.

How to Calculate Short-Circuit Transconductance?

Short-Circuit Transconductance calculator uses Transconductance = Output Current/Input Voltage to calculate the Transconductance, The Short-Circuit Transconductance of a circuit is the measure of its strength in converting an input voltage signal into an output voltage signal. Transconductance is denoted by Gm symbol.

How to calculate Short-Circuit Transconductance using this online calculator? To use this online calculator for Short-Circuit Transconductance, enter Output Current (Io) & Input Voltage (Vin) and hit the calculate button. Here is how the Short-Circuit Transconductance calculation can be explained with given input values -> 1720 = 0.0043/2.5.

FAQ

What is Short-Circuit Transconductance?
The Short-Circuit Transconductance of a circuit is the measure of its strength in converting an input voltage signal into an output voltage signal and is represented as Gm = Io/Vin or Transconductance = Output Current/Input Voltage. The Output Current of the amplifier is defined as the maximum current that can be supplied to the load & Input voltage is the voltage supplied to the device.
How to calculate Short-Circuit Transconductance?
The Short-Circuit Transconductance of a circuit is the measure of its strength in converting an input voltage signal into an output voltage signal is calculated using Transconductance = Output Current/Input Voltage. To calculate Short-Circuit Transconductance, you need Output Current (Io) & Input Voltage (Vin). With our tool, you need to enter the respective value for Output Current & Input 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 Transconductance?
In this formula, Transconductance uses Output Current & Input Voltage. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Transconductance = Collector Current/Threshold Voltage
  • Transconductance = Drain Current/Gate to Source Voltage
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