Total Input Offset Voltage of MOS Differential Amplifier given Saturation Current Solution

STEP 0: Pre-Calculation Summary
Formula Used
Input Offset Voltage = sqrt((Change in Collector Resistance/Collector Resistance)^2+(Saturation Current for DC/Saturation Current)^2)
Vos = sqrt((ΔRc/Rc)^2+(Isc/Is)^2)
This formula uses 1 Functions, 5 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Input Offset Voltage - (Measured in Volt) - Input offset voltage is the voltage that must be applied between the two input terminals of the op-amp to obtain zero volts at the output.
Change in Collector Resistance - (Measured in Ohm) - Change in collector resistance is the increment or decrement in resistance passing through the collector region.
Collector Resistance - (Measured in Ohm) - Collector resistance is the opposition to the flow of current in the collector of the transistor.
Saturation Current for DC - (Measured in Ampere) - Saturation current for DC is the transistor leakage current density in the absence of light. It is an important parameter that differentiates one transistor from another.
Saturation Current - (Measured in Ampere) - Saturation current in a MOSFET is the maximum current that can flow through the device when it is fully on or in saturation mode.
STEP 1: Convert Input(s) to Base Unit
Change in Collector Resistance: 1.805 Kilohm --> 1805 Ohm (Check conversion here)
Collector Resistance: 0.51 Kilohm --> 510 Ohm (Check conversion here)
Saturation Current for DC: 0.8 Milliampere --> 0.0008 Ampere (Check conversion here)
Saturation Current: 4.38 Milliampere --> 0.00438 Ampere (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vos = sqrt((ΔRc/Rc)^2+(Isc/Is)^2) --> sqrt((1805/510)^2+(0.0008/0.00438)^2)
Evaluating ... ...
Vos = 3.54392552301277
STEP 3: Convert Result to Output's Unit
3.54392552301277 Volt --> No Conversion Required
FINAL ANSWER
3.54392552301277 3.543926 Volt <-- Input Offset Voltage
(Calculation completed in 00.004 seconds)

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9 Differential Configuration Calculators

Differential Voltage Gain in MOS Differential Amplifier
Go Differential Gain = Transconductance*(1/(Common Emitter Current Gain*Resistance of Primary Winding in Secondary)+(1/(1/(Common Emitter Current Gain*Resistance of Secondary Winding in Primary))))
Total Input Offset Voltage of MOS Differential Amplifier given Saturation Current
Go Input Offset Voltage = sqrt((Change in Collector Resistance/Collector Resistance)^2+(Saturation Current for DC/Saturation Current)^2)
Minimum Input Common-Mode Range of MOS Differential Amplifier
Go Common-Mode Range = Threshold Voltage+Effective Voltage+Voltage between Gate and Source-Load Voltage
Input Offset Voltage of MOS Differential Amplifier given Saturation Current
Go Input Offset Voltage = Threshold Voltage*(Saturation Current for DC/Saturation Current)
Input Offset Voltage of MOS Differential Amplifier when Aspect Ratio Mismatches
Go Input Offset Voltage = (Effective Voltage/2)*(Aspect Ratio/Aspect Ratio 1)
Maximum Input Common-Mode Range of MOS Differential Amplifier
Go Common-Mode Range = Threshold Voltage+Load Voltage-(1/2*Load Resistance)
Input Voltage of MOS Differential Amplifier on Small-Signal Operation
Go Input Voltage = Common-Mode DC Voltage+(1/2*Differential Input Signal)
Input Offset Voltage of MOS Differential Amplifier
Go Input Offset Voltage = Output DC Offset Voltage/Differential Gain
Transconductance of MOS Differential Amplifier on Small-Signal Operation
Go Transconductance = Total Current/Effective Voltage

Total Input Offset Voltage of MOS Differential Amplifier given Saturation Current Formula

Input Offset Voltage = sqrt((Change in Collector Resistance/Collector Resistance)^2+(Saturation Current for DC/Saturation Current)^2)
Vos = sqrt((ΔRc/Rc)^2+(Isc/Is)^2)

Why is input offset voltage important?

When used in amplifiers of sensors, etc., the input offset voltage of op-amp results in an error of sensor detection sensitivity. To keep sensing errors below a specified tolerance level, it is necessary to select an op-amp with low input offset voltage.

How to Calculate Total Input Offset Voltage of MOS Differential Amplifier given Saturation Current?

Total Input Offset Voltage of MOS Differential Amplifier given Saturation Current calculator uses Input Offset Voltage = sqrt((Change in Collector Resistance/Collector Resistance)^2+(Saturation Current for DC/Saturation Current)^2) to calculate the Input Offset Voltage, The Total Input Offset Voltage of MOS Differential Amplifier given saturation current formula is defined as the voltage that must be applied between the two input terminals of the op-amp to obtain zero volts at the output. Ideally, the output of the op-amp should be at zero volts when the inputs are grounded. in reality, the input terminals are at slightly different dc potentials. Input Offset Voltage is denoted by Vos symbol.

How to calculate Total Input Offset Voltage of MOS Differential Amplifier given Saturation Current using this online calculator? To use this online calculator for Total Input Offset Voltage of MOS Differential Amplifier given Saturation Current, enter Change in Collector Resistance (ΔRc), Collector Resistance (Rc), Saturation Current for DC (Isc) & Saturation Current (Is) and hit the calculate button. Here is how the Total Input Offset Voltage of MOS Differential Amplifier given Saturation Current calculation can be explained with given input values -> 0.297865 = sqrt((1805/510)^2+(0.0008/0.00438)^2).

FAQ

What is Total Input Offset Voltage of MOS Differential Amplifier given Saturation Current?
The Total Input Offset Voltage of MOS Differential Amplifier given saturation current formula is defined as the voltage that must be applied between the two input terminals of the op-amp to obtain zero volts at the output. Ideally, the output of the op-amp should be at zero volts when the inputs are grounded. in reality, the input terminals are at slightly different dc potentials and is represented as Vos = sqrt((ΔRc/Rc)^2+(Isc/Is)^2) or Input Offset Voltage = sqrt((Change in Collector Resistance/Collector Resistance)^2+(Saturation Current for DC/Saturation Current)^2). Change in collector resistance is the increment or decrement in resistance passing through the collector region, Collector resistance is the opposition to the flow of current in the collector of the transistor, Saturation current for DC is the transistor leakage current density in the absence of light. It is an important parameter that differentiates one transistor from another & Saturation current in a MOSFET is the maximum current that can flow through the device when it is fully on or in saturation mode.
How to calculate Total Input Offset Voltage of MOS Differential Amplifier given Saturation Current?
The Total Input Offset Voltage of MOS Differential Amplifier given saturation current formula is defined as the voltage that must be applied between the two input terminals of the op-amp to obtain zero volts at the output. Ideally, the output of the op-amp should be at zero volts when the inputs are grounded. in reality, the input terminals are at slightly different dc potentials is calculated using Input Offset Voltage = sqrt((Change in Collector Resistance/Collector Resistance)^2+(Saturation Current for DC/Saturation Current)^2). To calculate Total Input Offset Voltage of MOS Differential Amplifier given Saturation Current, you need Change in Collector Resistance (ΔRc), Collector Resistance (Rc), Saturation Current for DC (Isc) & Saturation Current (Is). With our tool, you need to enter the respective value for Change in Collector Resistance, Collector Resistance, Saturation Current for DC & Saturation Current 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 Input Offset Voltage?
In this formula, Input Offset Voltage uses Change in Collector Resistance, Collector Resistance, Saturation Current for DC & Saturation Current. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Input Offset Voltage = Output DC Offset Voltage/Differential Gain
  • Input Offset Voltage = (Effective Voltage/2)*(Aspect Ratio/Aspect Ratio 1)
  • Input Offset Voltage = Threshold Voltage*(Saturation Current for DC/Saturation Current)
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