Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier Calculator

✖Input Voltage is defined as the voltage supplied to the bjt device to its input end.ⓘ Input Voltage [V_i]			+10% -10%
✖Common Base Current Gain is defined as the change in collector current divided by the change in emitter current when the base-to-collector voltage is constant.ⓘ Common Base Current Gain [α]			+10% -10%
✖Current is the rate of flow of charge through a conducting material.ⓘ Current [i]			+10% -10%
✖Collector Resistance helps to set the transistor at the "operating point" of the amplifier. The purpose of the emitter resistor Re is to prevent thermal runaway.ⓘ Collector Resistance [R_C]			+10% -10%

✖Maximum Common Mode Range is defined as a range of input voltage in which the op-amp functions properly when the same signal is applied to the IN(+) and IN(-) terminals.ⓘ Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier [V_cm]

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Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Common Mode Range = Input Voltage+(Common Base Current Gain*0.5*Current*Collector Resistance)
V_cm = V_i+(α*0.5*i*R_C)
This formula uses 5 Variables

Variables Used

Maximum Common Mode Range - (Measured in Volt) - Maximum Common Mode Range is defined as a range of input voltage in which the op-amp functions properly when the same signal is applied to the IN(+) and IN(-) terminals.
Input Voltage - (Measured in Volt) - Input Voltage is defined as the voltage supplied to the bjt device to its input end.
Common Base Current Gain - Common Base Current Gain is defined as the change in collector current divided by the change in emitter current when the base-to-collector voltage is constant.
Current - (Measured in Ampere) - Current is the rate of flow of charge through a conducting material.
Collector Resistance - (Measured in Ohm) - Collector Resistance helps to set the transistor at the "operating point" of the amplifier. The purpose of the emitter resistor Re is to prevent thermal runaway.

STEP 1: Convert Input(s) to Base Unit

Input Voltage: 3.5 Volt --> 3.5 Volt No Conversion Required
Common Base Current Gain: 1.7 --> No Conversion Required
Current: 550 Milliampere --> 0.55 Ampere (Check conversion here)
Collector Resistance: 0.16 Kilohm --> 160 Ohm (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_cm = V_i+(α*0.5*i*R_C) --> 3.5+(1.7*0.5*0.55*160)

Evaluating ... ...

V_cm = 78.3

STEP 3: Convert Result to Output's Unit

78.3 Volt --> No Conversion Required

FINAL ANSWER

78.3 Volt <-- Maximum Common Mode Range

(Calculation completed in 00.020 seconds)

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< Current and Voltage Calculators

First Collector Current of BJT Differential Amplifier

LaTeX Go First Collector Current = (Common Base Current Gain*Current)/(1+e^((-Differential Input Voltage)/Threshold Voltage))

Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier

LaTeX Go Maximum Common Mode Range = Input Voltage+(Common Base Current Gain*0.5*Current*Collector Resistance)

First Emitter Current of BJT Differential Amplifier

LaTeX Go First Emitter Current = Current/(1+e^((-Differential Input Voltage)/Threshold Voltage))

Collector Current of BJT Differential Amplifier given Emitter Current

LaTeX Go Collector Current = Common Base Current Gain*Emitter Current

Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier Formula

LaTeX Go

Maximum Common Mode Range = Input Voltage+(Common Base Current Gain*0.5*Current*Collector Resistance)
V_cm = V_i+(α*0.5*i*R_C)

How do differential amplifiers work?

A differential amplifier multiplies the voltage difference between two inputs (Vin+ - Vin-) by some constant factor Ad, the differential gain. A differential amplifier also tends to reject the part of the input signals that are common to both inputs (V_in+ + V_in)/2 . This is referred to as the common-mode signal.

How to Calculate Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier?

Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier calculator uses Maximum Common Mode Range = Input Voltage+(Common Base Current Gain*0.5*Current*Collector Resistance) to calculate the Maximum Common Mode Range, The Maximum input common-mode range voltage of BJT differential amplifier formula is defined as “floating”, meaning that it has no reference to ground. The measurement is taken as the voltage difference between the two wires. A sensor with a differential output can be wired for single-ended by wiring the low side to the ground. Maximum Common Mode Range is denoted by V_cm symbol.

How to calculate Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier using this online calculator? To use this online calculator for Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier, enter Input Voltage (V_i), Common Base Current Gain (α), Current (i) & Collector Resistance (R_C) and hit the calculate button. Here is how the Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier calculation can be explained with given input values -> 78.3 = 3.5+(1.7*0.5*550*160).

FAQ

What is Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier?

The Maximum input common-mode range voltage of BJT differential amplifier formula is defined as “floating”, meaning that it has no reference to ground. The measurement is taken as the voltage difference between the two wires. A sensor with a differential output can be wired for single-ended by wiring the low side to the ground and is represented as V_cm = V_i+(α*0.5*i*R_C) or Maximum Common Mode Range = Input Voltage+(Common Base Current Gain*0.5*Current*Collector Resistance). Input Voltage is defined as the voltage supplied to the bjt device to its input end, Common Base Current Gain is defined as the change in collector current divided by the change in emitter current when the base-to-collector voltage is constant, Current is the rate of flow of charge through a conducting material & Collector Resistance helps to set the transistor at the "operating point" of the amplifier. The purpose of the emitter resistor Re is to prevent thermal runaway.

How to calculate Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier?

The Maximum input common-mode range voltage of BJT differential amplifier formula is defined as “floating”, meaning that it has no reference to ground. The measurement is taken as the voltage difference between the two wires. A sensor with a differential output can be wired for single-ended by wiring the low side to the ground is calculated using Maximum Common Mode Range = Input Voltage+(Common Base Current Gain*0.5*Current*Collector Resistance). To calculate Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier, you need Input Voltage (V_i), Common Base Current Gain (α), Current (i) & Collector Resistance (R_C). With our tool, you need to enter the respective value for Input Voltage, Common Base Current Gain, Current & Collector Resistance 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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