Voltage Gain of Small-Signal Operation of Current Mirrors Calculator

✖Transconductance 2 is the calculated transconductance value for3rd transistor i.e Q2 of Wilson MOS mirror.ⓘ Transconductance 2 [g_m2]			+10% -10%
✖Voltage across Gate and Source is the voltage that falls across the gate-source terminal of the transistor.ⓘ Voltage across Gate and Source [V_gs]			+10% -10%
✖Small Signal Input Current is the calculated current entering at the MOS current mirror amplifier circuit.ⓘ Small Signal Input Current [I_ss]			+10% -10%

✖Short-Circuit current gain is the gain calculated with respect to current for the MOS current mirror amplifier circuit.ⓘ Voltage Gain of Small-Signal Operation of Current Mirrors [G_is]

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Voltage Gain of Small-Signal Operation of Current Mirrors

Formula

`"G"_{"is"} = ("g"_{"m2"}*"V"_{"gs"})/"I"_{"ss"}`

Example

`"0.047619"=("0.25S"*"4V")/"21A"`

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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
G_is = (g_m2*V_gs)/I_ss
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

G_is = (g_m2*V_gs)/I_ss --> (0.25*4)/21

Evaluating ... ...

G_is = 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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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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National Institute Of Technology (NIT), Hamirpur

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< 7 Signal Amplifier Calculators

Signal Current

Go Signal Current = Current Peak Amplitude*sin(Angular Frequency of Wave*Time in Seconds)

Voltage Gain of Small-Signal Operation of Current Mirrors

Go Short-Circuit Current Gain = (Transconductance 2*Voltage across Gate and Source)/Small Signal Input Current

Voltage Gain of Amplifier with Current-Source Load

Go Voltage Gain of Amplifier = -Transconductance*(1/Finite Output Resistance 1+1/Finite Output Resistance 2)

Current Transfer Ratio of Mirror with Base Current Compensation

Go Output Current = Reference Current*(1/(1+2/Transistor Current Gain^2))

Output Voltage Gain of Active Loaded CE Amplifier

Go Output Voltage Gain = -Transconductance*Output Resistance

Overall Voltage Gain given Signal Source

Go Overall Voltage Gain = Output Voltage/Input Signal

Input Resistance in Small-Signal Operation of Current Mirrors

Go Input Resistance = 1/Transconductance

Voltage Gain of Small-Signal Operation of Current Mirrors Formula

Short-Circuit Current Gain = (Transconductance 2*Voltage across Gate and Source)/Small Signal Input Current
G_is = (g_m2*V_gs)/I_ss

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 (v_BE for the BJT and v_GS 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 G_is 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 (g_m2), Voltage across Gate and Source (V_gs) & Small Signal Input Current (I_ss) 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 G_is = (g_m2*V_gs)/I_ss 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 (g_m2), Voltage across Gate and Source (V_gs) & Small Signal Input Current (I_ss). 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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