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

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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. Check FAQs

V cm = V i + (α \cdot 0.5 \cdot i \cdot R C)

V_cm - Maximum Common Mode Range?V_i - Input Voltage?α - Common Base Current Gain?i - Current?R_C - Collector Resistance?

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

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Here is how the Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier equation looks like with Values.

Here is how the Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier equation looks like with Units.

Here is how the Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier equation looks like.

78.3 = 3.5 + (1.7 \cdot 0.5 \cdot 550 \cdot 0.16)

78.3V = 3.5V + (1.7 \cdot 0.5 \cdot 550mA \cdot 0.16kΩ)

78.3 = 3.5 + (1.7 \cdot 0.5 \cdot 550 \cdot 0.16)

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

Follow our step by step solution on how to calculate Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier?

FIRST Step Consider the formula

V cm = V i + (α \cdot 0.5 \cdot i \cdot R C)

Next Step Substitute values of Variables

∴

V cm = 3.5V + (1.7 \cdot 0.5 \cdot 550mA \cdot 0.16kΩ)

Next Step Convert Units

∴

V cm = 3.5V + (1.7 \cdot 0.5 \cdot 0.55A \cdot 160Ω)

Next Step Prepare to Evaluate

∴

V cm = 3.5 + (1.7 \cdot 0.5 \cdot 0.55 \cdot 160)

LAST Step Evaluate

∴

V cm = 78.3V

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

Variables

Maximum Common Mode Range

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.

Symbol: V_cm

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Maximum Common Mode Range

Input Voltage

Input Voltage is defined as the voltage supplied to the bjt device to its input end.

Symbol: V_i

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Input Voltage

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.

Symbol: α

Measurement: NAUnit: Unitless

Note: Value should be greater than 1.

Formulas to find Common Base Current Gain

Current

Current is the rate of flow of charge through a conducting material.

Symbol: i

Measurement: Electric CurrentUnit: mA

Note: Value can be positive or negative.

Formulas to find Current

Collector Resistance

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.

Symbol: R_C

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Collector Resistance

Other formulas in Current and Voltage category

Go First Emitter Current of BJT Differential Amplifier

i E1 = \frac{i}{1 + e^{\frac{- V id}{V th}}}

Go First Collector Current of BJT Differential Amplifier

i C1 = \frac{α \cdot i}{1 + e^{\frac{- V id}{V th}}}

Go Collector Current of BJT Differential Amplifier given Emitter Current

i c = α \cdot i E

Go Collector Current of BJT Differential Amplifier given Emitter Resistance

i c = \frac{α \cdot V id}{2 \cdot R E}

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

Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier evaluator uses Maximum Common Mode Range = Input Voltage+(Common Base Current Gain*0.5*Current*Collector Resistance) to evaluate 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 evaluate Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier using this online evaluator? To use this online evaluator 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.

FAQs on Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier

What is the formula to find Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier?

The formula of Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier is expressed as Maximum Common Mode Range = Input Voltage+(Common Base Current Gain*0.5*Current*Collector Resistance). Here is an example- 78.3 = 3.5+(1.7*0.5*550*160).

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

With Input Voltage (V_i), Common Base Current Gain (α), Current (i) & Collector Resistance (R_C) we can find Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier using the formula - Maximum Common Mode Range = Input Voltage+(Common Base Current Gain*0.5*Current*Collector Resistance).

Can the Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier be negative?

Yes, the Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier, measured in Electric Potential can be negative.

Which unit is used to measure Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier?

Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier can be measured.

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

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

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

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

Other formulas in Current and Voltage category

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

FAQs on Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier

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