Output Current of Wilson Current Mirror Calculator

✖A reference current is just a stable source of current that does not fluctuate over temperature, supply voltages or loads.ⓘ Reference Current [I_ref]			+10% -10%
✖Transistor current gain is highly influenced by two factors: the width of the base region, W, and the relative dopings of the base region and the emitter region.ⓘ Transistor Current Gain [β]			+10% -10%

✖Output Current is the current the amplifier draws from the signal source.ⓘ Output Current of Wilson Current Mirror [I_o]

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Formula

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Output Current of Wilson Current Mirror

Formula

`"I"_{"o"} = "I"_{"ref"}*(1/(1+(2/"β"^2)))`

Example

`"5.066667mA"="7.60mA"*(1/(1+(2/("2")^2)))`

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Output Current of Wilson Current Mirror Solution

STEP 0: Pre-Calculation Summary

Formula Used

Output Current = Reference Current*(1/(1+(2/Transistor Current Gain^2)))
I_o = I_ref*(1/(1+(2/β^2)))
This formula uses 3 Variables

Variables Used

Output Current - (Measured in Ampere) - Output Current is the current the amplifier draws from the signal source.
Reference Current - (Measured in Ampere) - A reference current is just a stable source of current that does not fluctuate over temperature, supply voltages or loads.
Transistor Current Gain - Transistor current gain is highly influenced by two factors: the width of the base region, W, and the relative dopings of the base region and the emitter region.

STEP 1: Convert Input(s) to Base Unit

Reference Current: 7.6 Milliampere --> 0.0076 Ampere (Check conversion here)
Transistor Current Gain: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_o = I_ref*(1/(1+(2/β^2))) --> 0.0076*(1/(1+(2/2^2)))

Evaluating ... ...

I_o = 0.00506666666666667

STEP 3: Convert Result to Output's Unit

0.00506666666666667 Ampere -->5.06666666666667 Milliampere (Check conversion here)

FINAL ANSWER

5.06666666666667 ≈ 5.066667 Milliampere <-- Output Current

(Calculation completed in 00.004 seconds)

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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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Emitter Resistance in Widlar Current Source

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

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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 Current of Wilson Current Mirror Formula

Output Current = Reference Current*(1/(1+(2/Transistor Current Gain^2)))
I_o = I_ref*(1/(1+(2/β^2)))

What is Wilson current mirror?

A Wilson current mirror is a three-terminal circuit that accepts an input current at the input terminal and provides a "mirrored" current source or sinks output at the output terminal. The mirrored current is a precise copy of the input current.

How to Calculate Output Current of Wilson Current Mirror?

Output Current of Wilson Current Mirror calculator uses Output Current = Reference Current*(1/(1+(2/Transistor Current Gain^2))) to calculate the Output Current, The Output current of Wilson current mirror formula is defined as 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. Output Current is denoted by I_o symbol.

How to calculate Output Current of Wilson Current Mirror using this online calculator? To use this online calculator for Output Current of Wilson Current Mirror, enter Reference Current (I_ref) & Transistor Current Gain (β) and hit the calculate button. Here is how the Output Current of Wilson Current Mirror calculation can be explained with given input values -> 5066.667 = 0.0076*(1/(1+(2/2^2))).

FAQ

What is Output Current of Wilson Current Mirror?

The Output current of Wilson current mirror formula is defined as 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 and is represented as I_o = I_ref*(1/(1+(2/β^2))) or Output Current = Reference Current*(1/(1+(2/Transistor Current Gain^2))). A reference current is just a stable source of current that does not fluctuate over temperature, supply voltages or loads & Transistor current gain is highly influenced by two factors: the width of the base region, W, and the relative dopings of the base region and the emitter region.

How to calculate Output Current of Wilson Current Mirror?

The Output current of Wilson current mirror formula is defined as 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 is calculated using Output Current = Reference Current*(1/(1+(2/Transistor Current Gain^2))). To calculate Output Current of Wilson Current Mirror, you need Reference Current (I_ref) & Transistor Current Gain (β). With our tool, you need to enter the respective value for Reference Current & Transistor Current Gain 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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