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)
Rid = (β+1)*(2*RE+2*ΔRc)
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
Rid = (β+1)*(2*RE+2*ΔRc) --> (50+1)*(2*272+2*2)
Evaluating ... ...
Rid = 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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4 Resistance Calculators

Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain
Go Differential Input Resistance = (Common Emitter Current Gain+1)*(2*Emitter Resistance+2*Change in Collector Resistance)
Differential Input Resistance of BJT Amplifier
Go Differential Input Resistance = Differential Input Voltage/Base Current
Transconductance of Small Signal Operation of BJT Amplifier
Go Transconductance = Collector Current/Threshold Voltage
Differential Input Resistance of BJT Amplifier given Small-Signal Input Resistance
Go Differential Input Resistance = 2*Base Emitter Input Resistance

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

Differential Input Resistance = (Common Emitter Current Gain+1)*(2*Emitter Resistance+2*Change in Collector Resistance)
Rid = (β+1)*(2*RE+2*ΔRc)

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 Rid 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 (RE) & Change in Collector Resistance (ΔRc) 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 Rid = (β+1)*(2*RE+2*ΔRc) 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 (RE) & Change in Collector Resistance (ΔRc). 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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