First Collector Current of BJT Differential Amplifier Calculator

✖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%
✖Differential Input Voltage is defined as signal input circuit where SIGNAL LO and SIGNAL HI are electrically floating with respect to ANALOG GROUND.ⓘ Differential Input Voltage [V_id]			+10% -10%
✖Threshold Voltage is defined as the minimum amount of voltage required by the transistor to turn on.ⓘ Threshold Voltage [V_th]			+10% -10%

✖First Collector Current is the current in collector of first of two transistors in a large signal operation configuration.ⓘ First Collector Current of BJT Differential Amplifier [i_C1]

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First Collector Current of BJT Differential Amplifier Solution

STEP 0: Pre-Calculation Summary

Formula Used

First Collector Current = (Common Base Current Gain*Current)/(1+e^((-Differential Input Voltage)/Threshold Voltage))
i_C1 = (α*i)/(1+e^((-V_id)/V_th))
This formula uses 1 Constants, 5 Variables

Constants Used

e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Variables Used

First Collector Current - (Measured in Ampere) - First Collector Current is the current in collector of first of two transistors in a large signal operation configuration.
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.
Differential Input Voltage - (Measured in Volt) - Differential Input Voltage is defined as signal input circuit where SIGNAL LO and SIGNAL HI are electrically floating with respect to ANALOG GROUND.
Threshold Voltage - (Measured in Volt) - Threshold Voltage is defined as the minimum amount of voltage required by the transistor to turn on.

STEP 1: Convert Input(s) to Base Unit

Common Base Current Gain: 1.7 --> No Conversion Required
Current: 550 Milliampere --> 0.55 Ampere (Check conversion here)
Differential Input Voltage: 7.5 Volt --> 7.5 Volt No Conversion Required
Threshold Voltage: 0.7 Volt --> 0.7 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

i_C1 = (α*i)/(1+e^((-V_id)/V_th)) --> (1.7*0.55)/(1+e^((-7.5)/0.7))

Evaluating ... ...

i_C1 = 0.934979219940083

STEP 3: Convert Result to Output's Unit

0.934979219940083 Ampere -->934.979219940083 Milliampere (Check conversion here)

FINAL ANSWER

934.979219940083 ≈ 934.9792 Milliampere <-- First Collector Current

(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

First Collector Current of BJT Differential Amplifier Formula

LaTeX Go

First Collector Current = (Common Base Current Gain*Current)/(1+e^((-Differential Input Voltage)/Threshold Voltage))
i_C1 = (α*i)/(1+e^((-V_id)/V_th))

What is meant by differential amplifier?

A differential amplifier is a type of electronic amplifier that amplifies the difference between two input voltages but suppresses any voltage common to the two inputs.

How to Calculate First Collector Current of BJT Differential Amplifier?

First Collector Current of BJT Differential Amplifier calculator uses First Collector Current = (Common Base Current Gain*Current)/(1+e^((-Differential Input Voltage)/Threshold Voltage)) to calculate the First Collector Current, The first collector current of BJT differential amplifier formula is defined as the collector current of one of the transistors in the differential pair when a small signal is applied to the input. This current is a result of the differential input voltage and helps determine the amplification and response characteristics of the amplifier circuit. First Collector Current is denoted by i_C1 symbol.

How to calculate First Collector Current of BJT Differential Amplifier using this online calculator? To use this online calculator for First Collector Current of BJT Differential Amplifier, enter Common Base Current Gain (α), Current (i), Differential Input Voltage (V_id) & Threshold Voltage (V_th) and hit the calculate button. Here is how the First Collector Current of BJT Differential Amplifier calculation can be explained with given input values -> 934979.2 = (1.7*550)/(1+e^((-7.5)/0.7)).

FAQ

What is First Collector Current of BJT Differential Amplifier?

The first collector current of BJT differential amplifier formula is defined as the collector current of one of the transistors in the differential pair when a small signal is applied to the input. This current is a result of the differential input voltage and helps determine the amplification and response characteristics of the amplifier circuit and is represented as i_C1 = (α*i)/(1+e^((-V_id)/V_th)) or First Collector Current = (Common Base Current Gain*Current)/(1+e^((-Differential Input Voltage)/Threshold Voltage)). 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, Differential Input Voltage is defined as signal input circuit where SIGNAL LO and SIGNAL HI are electrically floating with respect to ANALOG GROUND & Threshold Voltage is defined as the minimum amount of voltage required by the transistor to turn on.

How to calculate First Collector Current of BJT Differential Amplifier?

The first collector current of BJT differential amplifier formula is defined as the collector current of one of the transistors in the differential pair when a small signal is applied to the input. This current is a result of the differential input voltage and helps determine the amplification and response characteristics of the amplifier circuit is calculated using First Collector Current = (Common Base Current Gain*Current)/(1+e^((-Differential Input Voltage)/Threshold Voltage)). To calculate First Collector Current of BJT Differential Amplifier, you need Common Base Current Gain (α), Current (i), Differential Input Voltage (V_id) & Threshold Voltage (V_th). With our tool, you need to enter the respective value for Common Base Current Gain, Current, Differential Input Voltage & Threshold Voltage 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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