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## Credits

Birsa Institute of Technology (BIT), Sindri
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## Reference current of Wilson current mirror Solution

STEP 0: Pre-Calculation Summary
Formula Used
reference_current = (1+2/(Common emitter current gain)^2)*Finite output resistance
Iref = (1+2/(β)^2)*Ro
This formula uses 2 Variables
Variables Used
Common emitter current gain- Common emitter 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.
Finite output resistance - The finite output resistance is the measure of the opposition to current flow, both static and dynamic, into the load network being connected that is internal to the electrical source. (Measured in Ohm)
STEP 1: Convert Input(s) to Base Unit
Common emitter current gain: 55 --> No Conversion Required
Finite output resistance: 100 Ohm --> 100 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Iref = (1+2/(β)^2)*Ro --> (1+2/(55)^2)*100
Evaluating ... ...
Iref = 100.066115702479
STEP 3: Convert Result to Output's Unit
100.066115702479 Ampere --> No Conversion Required
FINAL ANSWER
100.066115702479 Ampere <-- Reference current
(Calculation completed in 00.004 seconds)

## < 8 Current-Mirror Circuits with Improved Performance Calculators

Output resistance of the Widlar Current Source
resistance_output = ((1+MOSFET Transconductance)*((1/Emitter Resistance)+(1/Small-signal input resistance b/w base-emitter)))*Final Resistance Go
Emitter resistance of the Widlar Current Source
emitter_resistance = (Threshold voltage/Output resistance)*log10(Reference current/Equivalent Resistance) Go
Output current of the Widlar Current Source
output_current = (Threshold voltage/Emitter Resistance)*log10(Reference current/Current Value) Go
Output resistance of the Cascode MOS Mirrors
equivalent_resistance = MOSFET Transconductance*Finite output resistance*Output resistance Go
Output resistance of the Wilson MOS Mirror
resistance_output = (MOSFET Transconductance*Finite output resistance)*Final Resistance Go
Reference current of Wilson current mirror
reference_current = (1+2/(Common emitter current gain)^2)*Finite output resistance Go
Output current of Wilson current mirror
output_current = Reference current*(1/(1+(2/(Common emitter current gain)^2))) Go
Output resistance of the Wilson current mirror
resistance_output = (Common emitter current gain*Finite output resistance)/2 Go

### Reference current of Wilson current mirror Formula

reference_current = (1+2/(Common emitter current gain)^2)*Finite output resistance
Iref = (1+2/(β)^2)*Ro

## 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 Reference current of Wilson current mirror?

Reference current of Wilson current mirror calculator uses reference_current = (1+2/(Common emitter current gain)^2)*Finite output resistance to calculate the Reference current, The Reference current of Wilson current mirror formula is defined as a stable source of current that does not fluctuate over temperature, supply voltages, or loads. Reference current and is denoted by Iref symbol.

How to calculate Reference current of Wilson current mirror using this online calculator? To use this online calculator for Reference current of Wilson current mirror, enter Common emitter current gain (β) and Finite output resistance (Ro ) and hit the calculate button. Here is how the Reference current of Wilson current mirror calculation can be explained with given input values -> 100.0661 = (1+2/(55)^2)*100.

### FAQ

What is Reference current of Wilson current mirror?
The Reference current of Wilson current mirror formula is defined as a stable source of current that does not fluctuate over temperature, supply voltages, or loads and is represented as Iref = (1+2/(β)^2)*Ro or reference_current = (1+2/(Common emitter current gain)^2)*Finite output resistance. Common emitter 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 and The finite output resistance is the measure of the opposition to current flow, both static and dynamic, into the load network being connected that is internal to the electrical source.
How to calculate Reference current of Wilson current mirror?
The Reference current of Wilson current mirror formula is defined as a stable source of current that does not fluctuate over temperature, supply voltages, or loads is calculated using reference_current = (1+2/(Common emitter current gain)^2)*Finite output resistance. To calculate Reference current of Wilson current mirror, you need Common emitter current gain (β) and Finite output resistance (Ro ). With our tool, you need to enter the respective value for Common emitter current gain and Finite output resistance 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 Reference current?
In this formula, Reference current uses Common emitter current gain and Finite output resistance. We can use 8 other way(s) to calculate the same, which is/are as follows -
• equivalent_resistance = MOSFET Transconductance*Finite output resistance*Output resistance
• output_current = Reference current*(1/(1+(2/(Common emitter current gain)^2)))
• reference_current = (1+2/(Common emitter current gain)^2)*Finite output resistance
• resistance_output = (Common emitter current gain*Finite output resistance)/2
• resistance_output = (MOSFET Transconductance*Finite output resistance)*Final Resistance
• output_current = (Threshold voltage/Emitter Resistance)*log10(Reference current/Current Value)
• emitter_resistance = (Threshold voltage/Output resistance)*log10(Reference current/Equivalent Resistance)
• resistance_output = ((1+MOSFET Transconductance)*((1/Emitter Resistance)+(1/Small-signal input resistance b/w base-emitter)))*Final Resistance
Where is the Reference current of Wilson current mirror calculator used?
Among many, Reference current of Wilson current mirror calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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