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)
Vcm = Vi+(α*0.5*i*RC)
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
Vcm = Vi+(α*0.5*i*RC) --> 3.5+(1.7*0.5*0.55*160)
Evaluating ... ...
Vcm = 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 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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11 Current and Voltage Calculators

First Collector Current of BJT Differential Amplifier
Go First Collector Current = (Common Base Current Gain*Current)/(1+e^((-Differential Input Voltage)/Threshold Voltage))
Second Collector Current of BJT Differential Amplifier
Go Second Collector Current = (Common Base Current Gain*Current)/(1+e^(Differential Input Voltage/Threshold Voltage))
Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier
Go Maximum Common Mode Range = Input Voltage+(Common Base Current Gain*0.5*Current*Collector Resistance)
Emitter Current of BJT Differential Amplifier
Go Emitter Current = Differential Input Voltage/(2*Base Emitter Resistance+2*Collector Emitter Resistance)
Base Current of Input Differential BJT Amplifier given Emitter Resistance
Go Base Current = Differential Input Voltage/(2*Emitter Resistance*(Common Emitter Current Gain+1))
Collector Current of BJT Differential Amplifier given Emitter Resistance
Go Collector Current = (Common Base Current Gain*Differential Input Voltage)/(2*Emitter Resistance)
Second Emitter Current of BJT Differential Amplifier
Go Second Emitter Current = Current/(1+e^((Differential Input Voltage)/Threshold Voltage))
First Emitter Current of BJT Differential Amplifier
Go First Emitter Current = Current/(1+e^((-Differential Input Voltage)/Threshold Voltage))
Input Bias Current of Differential Amplifier
Go Input Bias Current = Current/(2*(Common Emitter Current Gain+1))
Base Current of Input Differential BJT Amplifier
Go Base Current = Emitter Current/(Common Emitter Current Gain+1)
Collector Current of BJT Differential Amplifier given Emitter Current
Go Collector Current = Common Base Current Gain*Emitter Current

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

Maximum Common Mode Range = Input Voltage+(Common Base Current Gain*0.5*Current*Collector Resistance)
Vcm = Vi+(α*0.5*i*RC)

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 (Vin+ + Vin)/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 Vcm 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 (Vi), Common Base Current Gain (α), Current (i) & Collector Resistance (RC) 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 Vcm = Vi+(α*0.5*i*RC) 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 (Vi), Common Base Current Gain (α), Current (i) & Collector Resistance (RC). 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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