Second Collector Current of BJT Differential Amplifier Solution

STEP 0: Pre-Calculation Summary
Formula Used
Second Collector Current = (Common Base Current Gain*Current)/(1+e^(Differential Input Voltage/Threshold Voltage))
iC2 = (α*i)/(1+e^(Vid/Vth))
This formula uses 1 Constants, 5 Variables
Constants Used
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
Variables Used
Second Collector Current - (Measured in Ampere) - Second 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
iC2 = (α*i)/(1+e^(Vid/Vth)) --> (1.7*0.55)/(1+e^(7.5/0.7))
Evaluating ... ...
iC2 = 2.07800599172224E-05
STEP 3: Convert Result to Output's Unit
2.07800599172224E-05 Ampere -->0.0207800599172224 Milliampere (Check conversion here)
FINAL ANSWER
0.0207800599172224 0.02078 Milliampere <-- Second Collector Current
(Calculation completed in 00.004 seconds)

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Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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National Institute Of Technology (NIT), Hamirpur
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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

Second Collector Current of BJT Differential Amplifier Formula

Second Collector Current = (Common Base Current Gain*Current)/(1+e^(Differential Input Voltage/Threshold Voltage))
iC2 = (α*i)/(1+e^(Vid/Vth))

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 Second Collector Current of BJT Differential Amplifier?

Second Collector Current of BJT Differential Amplifier calculator uses Second Collector Current = (Common Base Current Gain*Current)/(1+e^(Differential Input Voltage/Threshold Voltage)) to calculate the Second Collector Current, The Second collector current of BJT differential amplifier formula is defined as the collector current of the second transistor in the amplifier circuit. It plays a role in amplifying the voltage difference between two input signals. Second Collector Current is denoted by iC2 symbol.

How to calculate Second Collector Current of BJT Differential Amplifier using this online calculator? To use this online calculator for Second Collector Current of BJT Differential Amplifier, enter Common Base Current Gain (α), Current (i), Differential Input Voltage (Vid) & Threshold Voltage (Vth) and hit the calculate button. Here is how the Second Collector Current of BJT Differential Amplifier calculation can be explained with given input values -> 20.78006 = (1.7*550)/(1+e^(7.5/0.7)).

FAQ

What is Second Collector Current of BJT Differential Amplifier?
The Second collector current of BJT differential amplifier formula is defined as the collector current of the second transistor in the amplifier circuit. It plays a role in amplifying the voltage difference between two input signals and is represented as iC2 = (α*i)/(1+e^(Vid/Vth)) or Second 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 Second Collector Current of BJT Differential Amplifier?
The Second collector current of BJT differential amplifier formula is defined as the collector current of the second transistor in the amplifier circuit. It plays a role in amplifying the voltage difference between two input signals is calculated using Second Collector Current = (Common Base Current Gain*Current)/(1+e^(Differential Input Voltage/Threshold Voltage)). To calculate Second Collector Current of BJT Differential Amplifier, you need Common Base Current Gain (α), Current (i), Differential Input Voltage (Vid) & Threshold Voltage (Vth). 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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