Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain Calculator

✖Common Emitter Current Gain is defined as the ratio of change in output current divided by change in input current.ⓘ Common Emitter Current Gain [β]			+10% -10%
✖Emitter Resistance is defined as the output impedance of a current source transistor.ⓘ Emitter Resistance [R_E]			+10% -10%
✖Change in Collector Resistance is the increment or decrement in resistance passing through the collector region.ⓘ Change in Collector Resistance [ΔR_c]			+10% -10%

✖Differential Input Resistance is defined as a single-ended "resistor" (connected between the input and ground) in the case of differential mode.ⓘ Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain [R_id]

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Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Differential Input Resistance = (Common Emitter Current Gain+1)*(2*Emitter Resistance+2*Change in Collector Resistance)
R_id = (β+1)*(2*R_E+2*ΔR_c)
This formula uses 4 Variables

Variables Used

Differential Input Resistance - (Measured in Ohm) - Differential Input Resistance is defined as a single-ended "resistor" (connected between the input and ground) in the case of differential mode.
Common Emitter Current Gain - Common Emitter Current Gain is defined as the ratio of change in output current divided by change in input current.
Emitter Resistance - (Measured in Ohm) - Emitter Resistance is defined as the output impedance of a current source transistor.
Change in Collector Resistance - (Measured in Ohm) - Change in Collector Resistance is the increment or decrement in resistance passing through the collector region.

STEP 1: Convert Input(s) to Base Unit

Common Emitter Current Gain: 50 --> No Conversion Required
Emitter Resistance: 0.272 Kilohm --> 272 Ohm (Check conversion here)
Change in Collector Resistance: 0.002 Kilohm --> 2 Ohm (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_id = (β+1)*(2*R_E+2*ΔR_c) --> (50+1)*(2*272+2*2)

Evaluating ... ...

R_id = 27948

STEP 3: Convert Result to Output's Unit

27948 Ohm -->27.948 Kilohm (Check conversion here)

FINAL ANSWER

27.948 Kilohm <-- Differential Input Resistance

(Calculation completed in 00.004 seconds)

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< Resistance Calculators

Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain

LaTeX Go Differential Input Resistance = (Common Emitter Current Gain+1)*(2*Emitter Resistance+2*Change in Collector Resistance)

Differential Input Resistance of BJT Amplifier

LaTeX Go Differential Input Resistance = Differential Input Voltage/Base Current

Transconductance of Small Signal Operation of BJT Amplifier

LaTeX Go Transconductance = Collector Current/Threshold Voltage

Differential Input Resistance of BJT Amplifier given Small-Signal Input Resistance

LaTeX Go Differential Input Resistance = 2*Base Emitter Input Resistance

Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain Formula

LaTeX Go

Differential Input Resistance = (Common Emitter Current Gain+1)*(2*Emitter Resistance+2*Change in Collector Resistance)
R_id = (β+1)*(2*R_E+2*ΔR_c)

What is the function of a differential amplifier?

Differential amplifiers are used mainly to suppress noise. Noise consists of typical differential noise and common-mode noise, of which the latter can easily be suppressed with an op-amp.

How to Calculate Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain?

Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain calculator uses Differential Input Resistance = (Common Emitter Current Gain+1)*(2*Emitter Resistance+2*Change in Collector Resistance) to calculate the Differential Input Resistance, The Differential input resistance of BJT Amplifier given common-emitter current gain formula refers to the change in the emitter current of one transistor in the differential pair with respect to a change in the input voltage difference while keeping the common emitter current constant. It quantifies how the input voltage difference affects the emitter current. Differential Input Resistance is denoted by R_id symbol.

How to calculate Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain using this online calculator? To use this online calculator for Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain, enter Common Emitter Current Gain (β), Emitter Resistance (R_E) & Change in Collector Resistance (ΔR_c) and hit the calculate button. Here is how the Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain calculation can be explained with given input values -> 0.165444 = (50+1)*(2*272+2*2).

FAQ

What is Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain?

The Differential input resistance of BJT Amplifier given common-emitter current gain formula refers to the change in the emitter current of one transistor in the differential pair with respect to a change in the input voltage difference while keeping the common emitter current constant. It quantifies how the input voltage difference affects the emitter current and is represented as R_id = (β+1)*(2*R_E+2*ΔR_c) or Differential Input Resistance = (Common Emitter Current Gain+1)*(2*Emitter Resistance+2*Change in Collector Resistance). Common Emitter Current Gain is defined as the ratio of change in output current divided by change in input current, Emitter Resistance is defined as the output impedance of a current source transistor & Change in Collector Resistance is the increment or decrement in resistance passing through the collector region.

How to calculate Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain?

The Differential input resistance of BJT Amplifier given common-emitter current gain formula refers to the change in the emitter current of one transistor in the differential pair with respect to a change in the input voltage difference while keeping the common emitter current constant. It quantifies how the input voltage difference affects the emitter current is calculated using Differential Input Resistance = (Common Emitter Current Gain+1)*(2*Emitter Resistance+2*Change in Collector Resistance). To calculate Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain, you need Common Emitter Current Gain (β), Emitter Resistance (R_E) & Change in Collector Resistance (ΔR_c). With our tool, you need to enter the respective value for Common Emitter Current Gain, Emitter Resistance & Change in Collector Resistance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Differential Input Resistance?

In this formula, Differential Input Resistance uses Common Emitter Current Gain, Emitter Resistance & Change in Collector Resistance. We can use 2 other way(s) to calculate the same, which is/are as follows -

Differential Input Resistance = Differential Input Voltage/Base Current
Differential Input Resistance = 2*Base Emitter Input Resistance

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