Output Resistance of Wilson MOS Mirror Calculator

✖Transconductance 3 is the calculated transconductance value for3rd transistor i.e Q3 of Wilson MOS mirror.ⓘ Transconductance 3 [g_m3]			+10% -10%
✖Finite Output Resistance 3 is the calculated output resistance for the resistor 3 in wilson bipolar current mirror circuit.ⓘ Finite Output Resistance 3 [R_f3]			+10% -10%
✖Finite Output Resistance 2 is the calculated output resistance for the resistor 2 in CS amplifier.ⓘ Finite Output Resistance 2 [R_o2]			+10% -10%

✖Output resistance is the value of resistance of the network.ⓘ Output Resistance of Wilson MOS Mirror [R_o]

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Formula

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Output Resistance of Wilson MOS Mirror

Formula

`"R"_{"o"} = ("g"_{"m3"}*"R"_{"f3"})*"R"_{"o2"}`

Example

`"4.6875Ω"=("0.25S"*"0.75Ω")*"25Ω"`

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Output Resistance of Wilson MOS Mirror Solution

STEP 0: Pre-Calculation Summary

Formula Used

Output Resistance = (Transconductance 3*Finite Output Resistance 3)*Finite Output Resistance 2
R_o = (g_m3*R_f3)*R_o2
This formula uses 4 Variables

Variables Used

Output Resistance - (Measured in Ohm) - Output resistance is the value of resistance of the network.
Transconductance 3 - (Measured in Siemens) - Transconductance 3 is the calculated transconductance value for3rd transistor i.e Q3 of Wilson MOS mirror.
Finite Output Resistance 3 - (Measured in Ohm) - Finite Output Resistance 3 is the calculated output resistance for the resistor 3 in wilson bipolar current mirror circuit.
Finite Output Resistance 2 - (Measured in Ohm) - Finite Output Resistance 2 is the calculated output resistance for the resistor 2 in CS amplifier.

STEP 1: Convert Input(s) to Base Unit

Transconductance 3: 0.25 Siemens --> 0.25 Siemens No Conversion Required
Finite Output Resistance 3: 0.75 Ohm --> 0.75 Ohm No Conversion Required
Finite Output Resistance 2: 25 Ohm --> 25 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_o = (g_m3*R_f3)*R_o2 --> (0.25*0.75)*25

Evaluating ... ...

R_o = 4.6875

STEP 3: Convert Result to Output's Unit

4.6875 Ohm --> No Conversion Required

FINAL ANSWER

4.6875 Ohm <-- Output Resistance

(Calculation completed in 00.006 seconds)

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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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Emitter Resistance in Widlar Current Source

Go Emitter Resistance = (Threshold Voltage/Output Current)*log10(Reference Current/Output Current)

Output Current

Go Output Current given Reference Current = Reference Current*(Current in Transistor 2/Current in Transistor 1)

Output Resistance of Wilson MOS Mirror

Go Output Resistance = (Transconductance 3*Finite Output Resistance 3)*Finite Output Resistance 2

Output Resistance of Wilson Current Mirror

Go Output Resistance of Wilson Current Mirror = (Transistor Current Gain 1*Finite Output Resistance 3)/2

Reference Current of IC Amplifier

Go Reference Current = Output Current*(Aspect Ratio/Aspect Ratio 1)

Output Current of Wilson Current Mirror

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

Finite Output Resistance of IC Amplifier

Go Finite Output Resistance = Change in Output Voltage/Change in Current

Reference Current of Wilson Current Mirror

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

Intrinsic Gain of IC Amplifier

Go Intrinsic Gain = 2*Early Voltage/Overdrive Voltage

Output Resistance of Wilson MOS Mirror Formula

Output Resistance = (Transconductance 3*Finite Output Resistance 3)*Finite Output Resistance 2
R_o = (g_m3*R_f3)*R_o2

What is current mirror in MOSFET?

A current mirror is a circuit designed to copy a current through one active device by controlling the current in another active device of a circuit, keeping the output current constant regardless of loading. The current being "copied" can be, and sometimes is, a varying signal current.

How to Calculate Output Resistance of Wilson MOS Mirror?

Output Resistance of Wilson MOS Mirror calculator uses Output Resistance = (Transconductance 3*Finite Output Resistance 3)*Finite Output Resistance 2 to calculate the Output Resistance, The output resistance of Wilson MOS Mirror formula is defined as resistance seen by current source or voltage source which drives circuit. Output Resistance is denoted by R_o symbol.

How to calculate Output Resistance of Wilson MOS Mirror using this online calculator? To use this online calculator for Output Resistance of Wilson MOS Mirror, enter Transconductance 3 (g_m3), Finite Output Resistance 3 (R_f3) & Finite Output Resistance 2 (R_o2) and hit the calculate button. Here is how the Output Resistance of Wilson MOS Mirror calculation can be explained with given input values -> 4.7E-6 = (0.25*0.75)*25.

FAQ

What is Output Resistance of Wilson MOS Mirror?

The output resistance of Wilson MOS Mirror formula is defined as resistance seen by current source or voltage source which drives circuit and is represented as R_o = (g_m3*R_f3)*R_o2 or Output Resistance = (Transconductance 3*Finite Output Resistance 3)*Finite Output Resistance 2. Transconductance 3 is the calculated transconductance value for3rd transistor i.e Q3 of Wilson MOS mirror, Finite Output Resistance 3 is the calculated output resistance for the resistor 3 in wilson bipolar current mirror circuit & Finite Output Resistance 2 is the calculated output resistance for the resistor 2 in CS amplifier.

How to calculate Output Resistance of Wilson MOS Mirror?

The output resistance of Wilson MOS Mirror formula is defined as resistance seen by current source or voltage source which drives circuit is calculated using Output Resistance = (Transconductance 3*Finite Output Resistance 3)*Finite Output Resistance 2. To calculate Output Resistance of Wilson MOS Mirror, you need Transconductance 3 (g_m3), Finite Output Resistance 3 (R_f3) & Finite Output Resistance 2 (R_o2). With our tool, you need to enter the respective value for Transconductance 3, Finite Output Resistance 3 & Finite Output Resistance 2 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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