Voltage Gain of Small-Signal Operation of Current Mirrors Solution

STEP 0: Pre-Calculation Summary
Formula Used
Short-Circuit Current Gain = (Transconductance 2*Voltage across Gate and Source)/Small Signal Input Current
Gis = (gm2*Vgs)/Iss
This formula uses 4 Variables
Variables Used
Short-Circuit Current Gain - Short-Circuit current gain is the gain calculated with respect to current for the MOS current mirror amplifier circuit.
Transconductance 2 - (Measured in Siemens) - Transconductance 2 is the calculated transconductance value for3rd transistor i.e Q2 of Wilson MOS mirror.
Voltage across Gate and Source - (Measured in Volt) - Voltage across Gate and Source is the voltage that falls across the gate-source terminal of the transistor.
Small Signal Input Current - (Measured in Ampere) - Small Signal Input Current is the calculated current entering at the MOS current mirror amplifier circuit.
STEP 1: Convert Input(s) to Base Unit
Transconductance 2: 0.25 Siemens --> 0.25 Siemens No Conversion Required
Voltage across Gate and Source: 4 Volt --> 4 Volt No Conversion Required
Small Signal Input Current: 21 Ampere --> 21 Ampere No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Gis = (gm2*Vgs)/Iss --> (0.25*4)/21
Evaluating ... ...
Gis = 0.0476190476190476
STEP 3: Convert Result to Output's Unit
0.0476190476190476 --> No Conversion Required
FINAL ANSWER
0.0476190476190476 0.047619 <-- Short-Circuit Current Gain
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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Overall Voltage Gain given Signal Source
​ LaTeX ​ Go Overall Voltage Gain = Output Voltage/Input Signal
Input Resistance in Small-Signal Operation of Current Mirrors
​ LaTeX ​ Go Input Resistance = 1/Transconductance

Voltage Gain of Small-Signal Operation of Current Mirrors Formula

​LaTeX ​Go
Short-Circuit Current Gain = (Transconductance 2*Voltage across Gate and Source)/Small Signal Input Current
Gis = (gm2*Vgs)/Iss

What is small signal voltage gain?

The small-signal voltage gain Av is the ratio of the input voltage to the output voltage: The input voltage V in (vBE for the BJT and vGS for the MOS) times the transconductance g m is equal to the small-signal output current, io in the collector or drain.

How to Calculate Voltage Gain of Small-Signal Operation of Current Mirrors?

Voltage Gain of Small-Signal Operation of Current Mirrors calculator uses Short-Circuit Current Gain = (Transconductance 2*Voltage across Gate and Source)/Small Signal Input Current to calculate the Short-Circuit Current Gain, The voltage gain of small-signal operation of current mirrors is defined as a ratio between the generated output current and the input reference current. Short-Circuit Current Gain is denoted by Gis symbol.

How to calculate Voltage Gain of Small-Signal Operation of Current Mirrors using this online calculator? To use this online calculator for Voltage Gain of Small-Signal Operation of Current Mirrors, enter Transconductance 2 (gm2), Voltage across Gate and Source (Vgs) & Small Signal Input Current (Iss) and hit the calculate button. Here is how the Voltage Gain of Small-Signal Operation of Current Mirrors calculation can be explained with given input values -> 0.047619 = (0.25*4)/21.

FAQ

What is Voltage Gain of Small-Signal Operation of Current Mirrors?
The voltage gain of small-signal operation of current mirrors is defined as a ratio between the generated output current and the input reference current and is represented as Gis = (gm2*Vgs)/Iss or Short-Circuit Current Gain = (Transconductance 2*Voltage across Gate and Source)/Small Signal Input Current. Transconductance 2 is the calculated transconductance value for3rd transistor i.e Q2 of Wilson MOS mirror, Voltage across Gate and Source is the voltage that falls across the gate-source terminal of the transistor & Small Signal Input Current is the calculated current entering at the MOS current mirror amplifier circuit.
How to calculate Voltage Gain of Small-Signal Operation of Current Mirrors?
The voltage gain of small-signal operation of current mirrors is defined as a ratio between the generated output current and the input reference current is calculated using Short-Circuit Current Gain = (Transconductance 2*Voltage across Gate and Source)/Small Signal Input Current. To calculate Voltage Gain of Small-Signal Operation of Current Mirrors, you need Transconductance 2 (gm2), Voltage across Gate and Source (Vgs) & Small Signal Input Current (Iss). With our tool, you need to enter the respective value for Transconductance 2, Voltage across Gate and Source & Small Signal Input Current 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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