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Base Current of Input Differential BJT Amplifier given Emitter Resistance Formula

GoBase Current of Input Differential BJT Amplifier Formula

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Base Current 2 is a crucial current of bipolar junction transistor. Without the base current, the transistor cannot turn on. Check FAQs

i B = \frac{V id}{2 \cdot R E \cdot (β + 1)}

i_B - Base Current?V_id - Differential Input Voltage?R_E - Emitter Resistance?β - Common Emitter Current Gain?

Base Current of Input Differential BJT Amplifier given Emitter Resistance Example

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Here is how the Base Current of Input Differential BJT Amplifier given Emitter Resistance equation looks like with Values.

Here is how the Base Current of Input Differential BJT Amplifier given Emitter Resistance equation looks like with Units.

Here is how the Base Current of Input Differential BJT Amplifier given Emitter Resistance equation looks like.

0.2703 = \frac{7.5}{2 \cdot 0.272 \cdot (50 + 1)}

0.2703mA = \frac{7.5V}{2 \cdot 0.272kΩ \cdot (50 + 1)}

0.2703 = \frac{7.5}{2 \cdot 0.272 \cdot (50 + 1)}

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Base Current of Input Differential BJT Amplifier given Emitter Resistance Solution

Follow our step by step solution on how to calculate Base Current of Input Differential BJT Amplifier given Emitter Resistance?

FIRST Step Consider the formula

i B = \frac{V id}{2 \cdot R E \cdot (β + 1)}

Next Step Substitute values of Variables

∴

i B = \frac{7.5V}{2 \cdot 0.272kΩ \cdot (50 + 1)}

Next Step Convert Units

∴

i B = \frac{7.5V}{2 \cdot 272Ω \cdot (50 + 1)}

Next Step Prepare to Evaluate

∴

i B = \frac{7.5}{2 \cdot 272 \cdot (50 + 1)}

Next Step Evaluate

∴

i B = 0.000270328719723183A

Next Step Convert to Output's Unit

∴

i B = 0.270328719723183mA

LAST Step Rounding Answer

∴

i B = 0.2703mA

Base Current of Input Differential BJT Amplifier given Emitter Resistance Formula Elements

Variables

Base Current

Base Current 2 is a crucial current of bipolar junction transistor. Without the base current, the transistor cannot turn on.

Symbol: i_B

Measurement: Electric CurrentUnit: mA

Note: Value should be greater than 0.

Formulas to find Base Current

Differential Input Voltage

Differential Input Voltage is defined as signal input circuit where SIGNAL LO and SIGNAL HI are electrically floating with respect to ANALOG GROUND.

Symbol: V_id

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Differential Input Voltage

Emitter Resistance

Emitter Resistance is defined as the output impedance of a current source transistor.

Symbol: R_E

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Emitter Resistance

Common Emitter Current Gain

Common Emitter Current Gain is defined as the ratio of change in output current divided by change in input current.

Symbol: β

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Common Emitter Current Gain

Other Formulas to find Base Current

Go Base Current of Input Differential BJT Amplifier

i B = \frac{i E}{β + 1}

Other formulas in Current and Voltage category

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

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

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

How to Evaluate Base Current of Input Differential BJT Amplifier given Emitter Resistance?

Base Current of Input Differential BJT Amplifier given Emitter Resistance evaluator uses Base Current = Differential Input Voltage/(2*Emitter Resistance*(Common Emitter Current Gain+1)) to evaluate the Base Current, The Base current of input differential BJT Amplifier given emitter resistance formula is determined by the voltage applied to the base-emitter junction and the emitter resistance itself. Base Current is denoted by i_B symbol.

How to evaluate Base Current of Input Differential BJT Amplifier given Emitter Resistance using this online evaluator? To use this online evaluator for Base Current of Input Differential BJT Amplifier given Emitter Resistance, enter Differential Input Voltage (V_id), Emitter Resistance (R_E) & Common Emitter Current Gain (β) and hit the calculate button.

FAQs on Base Current of Input Differential BJT Amplifier given Emitter Resistance

What is the formula to find Base Current of Input Differential BJT Amplifier given Emitter Resistance?

The formula of Base Current of Input Differential BJT Amplifier given Emitter Resistance is expressed as Base Current = Differential Input Voltage/(2*Emitter Resistance*(Common Emitter Current Gain+1)). Here is an example- 490.1961 = 7.5/(2*272*(50+1)).

How to calculate Base Current of Input Differential BJT Amplifier given Emitter Resistance?

With Differential Input Voltage (V_id), Emitter Resistance (R_E) & Common Emitter Current Gain (β) we can find Base Current of Input Differential BJT Amplifier given Emitter Resistance using the formula - Base Current = Differential Input Voltage/(2*Emitter Resistance*(Common Emitter Current Gain+1)).

What are the other ways to Calculate Base Current?

Here are the different ways to Calculate Base Current-

Base Current=Emitter Current/(Common Emitter Current Gain+1)

Can the Base Current of Input Differential BJT Amplifier given Emitter Resistance be negative?

No, the Base Current of Input Differential BJT Amplifier given Emitter Resistance, measured in Electric Current cannot be negative.

Which unit is used to measure Base Current of Input Differential BJT Amplifier given Emitter Resistance?

Base Current of Input Differential BJT Amplifier given Emitter Resistance is usually measured using the Milliampere[mA] for Electric Current. Ampere[mA], Microampere[mA], Centiampere[mA] are the few other units in which Base Current of Input Differential BJT Amplifier given Emitter Resistance can be measured.

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