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Output current of the Widlar Current Source Solution

STEP 0: Pre-Calculation Summary
Formula Used
output_current = (Threshold voltage/Emitter Resistance)*log10(Reference current/Current Value)
i = (VT/re)*log10(Iref/CV)
This formula uses 2 Functions, 4 Variables
Functions Used
log10 - Common logarithm function (base 10), log10(Number)
log - Logarithm function, log(Number, Base)
Variables Used
Threshold voltage - Threshold voltage of transistor is the minimum gate to source voltage that is needed to create a conducting path between the source and drain terminals. It is an important factor to maintain power efficiency. (Measured in Volt)
Emitter Resistance - Emitter Resistance is a dynamic resistance of the emitter-base junction diode of a transistor. (Measured in Ohm)
Reference current - A reference current is just a stable source of current that does not fluctuate over temperature, supply voltages or loads. (Measured in Ampere)
Current Value- Current Value is the current value of the item.
STEP 1: Convert Input(s) to Base Unit
Threshold voltage: 50 Volt --> 50 Volt No Conversion Required
Emitter Resistance: 50 Ohm --> 50 Ohm No Conversion Required
Reference current: 30 Ampere --> 30 Ampere No Conversion Required
Current Value: 100 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
i = (VT/re)*log10(Iref/CV) --> (50/50)*log10(30/100)
Evaluating ... ...
i = -0.522878745280338
STEP 3: Convert Result to Output's Unit
-0.522878745280338 Ampere --> No Conversion Required
FINAL ANSWER
-0.522878745280338 Ampere <-- output current
(Calculation completed in 00.094 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

Output current of the Widlar Current Source Formula

output_current = (Threshold voltage/Emitter Resistance)*log10(Reference current/Current Value)
i = (VT/re)*log10(Iref/CV)

What is a Widlar Current Source?

A Widlar current source is a modification of the basic two-transistor current mirror that incorporates an emitter degeneration resistor for only the output transistor, enabling the current source to generate low currents using only moderate resistor values.

How to Calculate Output current of the Widlar Current Source?

Output current of the Widlar Current Source calculator uses output_current = (Threshold voltage/Emitter Resistance)*log10(Reference current/Current Value) to calculate the output current, The Output current of the Widlar Current Source 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 and is denoted by i symbol.

How to calculate Output current of the Widlar Current Source using this online calculator? To use this online calculator for Output current of the Widlar Current Source, enter Threshold voltage (VT), Emitter Resistance (re), Reference current (Iref) and Current Value (CV) and hit the calculate button. Here is how the Output current of the Widlar Current Source calculation can be explained with given input values -> -0.522879 = (50/50)*log10(30/100).

FAQ

What is Output current of the Widlar Current Source?
The Output current of the Widlar Current Source 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 = (VT/re)*log10(Iref/CV) or output_current = (Threshold voltage/Emitter Resistance)*log10(Reference current/Current Value). Threshold voltage of transistor is the minimum gate to source voltage that is needed to create a conducting path between the source and drain terminals. It is an important factor to maintain power efficiency, Emitter Resistance is a dynamic resistance of the emitter-base junction diode of a transistor, A reference current is just a stable source of current that does not fluctuate over temperature, supply voltages or loads and Current Value is the current value of the item.
How to calculate Output current of the Widlar Current Source?
The Output current of the Widlar Current Source 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 = (Threshold voltage/Emitter Resistance)*log10(Reference current/Current Value). To calculate Output current of the Widlar Current Source, you need Threshold voltage (VT), Emitter Resistance (re), Reference current (Iref) and Current Value (CV). With our tool, you need to enter the respective value for Threshold voltage, Emitter Resistance, Reference current and Current Value 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 output current?
In this formula, output current uses Threshold voltage, Emitter Resistance, Reference current and Current Value. 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 Output current of the Widlar Current Source calculator used?
Among many, Output current of the Widlar Current Source calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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