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Birsa Institute of Technology (BIT), Sindri
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## Input resistance of common emitter amplifier in terms of small-signal input resistance Solution

STEP 0: Pre-Calculation Summary
Formula Used
resistance_input = (1/Base resistance+1/Base resistance+1/(Small-signal input resistance b/w base-emitter+(Common emitter current gain+1)*Total resistance in the emitter))
Ri = (1/RB1+1/RB2+1/(rπ+(β+1)*R))
This formula uses 5 Variables
Variables Used
Base resistance - Base resistance is a measure of the opposition to current flow in an electrical circuit. (Measured in Ohm)
Base resistance - Base resistance is a measure of the opposition to current flow in an electrical circuit. (Measured in Ohm)
Small-signal input resistance b/w base-emitter - Small-signal input resistance b/w base-emitter is the opposition offered to the current passing through the base-emitter region. (Measured in Ohm)
Common emitter current gain- Common emitter current gain is highly influenced by two factors: the width of the base region, W, and the relative dopings of the base region and the emitter region.
Total resistance in the emitter - The total resistance in the emitter is the total opposition caused in the flow of current in the emitter (Measured in Ohm)
STEP 1: Convert Input(s) to Base Unit
Base resistance: 50 Ohm --> 50 Ohm No Conversion Required
Base resistance: 100 Ohm --> 100 Ohm No Conversion Required
Small-signal input resistance b/w base-emitter: 20 Ohm --> 20 Ohm No Conversion Required
Common emitter current gain: 55 --> No Conversion Required
Total resistance in the emitter: 40 Ohm --> 40 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ri = (1/RB1+1/RB2+1/(rπ+(β+1)*R)) --> (1/50+1/100+1/(20+(55+1)*40))
Evaluating ... ...
Ri = 0.0304424778761062
STEP 3: Convert Result to Output's Unit
0.0304424778761062 Ohm --> No Conversion Required
0.0304424778761062 Ohm <-- Input resistance
(Calculation completed in 00.016 seconds)

## < 6 Common-emitter amplifier Calculators

Overall voltage gain of the common-emitter amplifier
overall_voltage_gain = -(Input resistance/Input resistance+Signal Resistance)*MOSFET Transconductance*(1/Total resistance in collector+1/Load resistance+1/Output resistance) Go
Overall voltage gain of common-emitter amplifier in terms of emitter resistance
overall_voltage_gain = -(Input resistance/(Input resistance+Signal Resistance))*Common-base current gain.*(Total resistance in collector/Total resistance in the emitter) Go
Input resistance of common emitter amplifier in terms of small-signal input resistance
resistance_input = (1/Base resistance+1/Base resistance+1/(Small-signal input resistance b/w base-emitter+(Common emitter current gain+1)*Total resistance in the emitter)) Go
Input resistance of common-emitter amplifier in terms of emitter resistance
resistance_input = (1/Base resistance+1/Base resistance+1/((Total resistance in the emitter+Emitter Resistance)*(Common emitter current gain+1))) Go
Input resistance of the common emitter amplifier
resistance_input = (1/Base resistance+1/Base resistance+1/Small-signal input resistance b/w base-emitter) Go
Output resistance of the common-emitter amplifier
resistance_output = 1*Output resistance of transistor Go

### Input resistance of common emitter amplifier in terms of small-signal input resistance Formula

resistance_input = (1/Base resistance+1/Base resistance+1/(Small-signal input resistance b/w base-emitter+(Common emitter current gain+1)*Total resistance in the emitter))
Ri = (1/RB1+1/RB2+1/(rπ+(β+1)*R))

## What does a common emitter amplifier do?

The common emitter amplifier configuration provides voltage gain and is one of the most widely used transistor configurations for electronic circuit design. The common emitter transistor amplifier circuit is one of the mainstay circuits for use within electronic circuit design offers many advantages.

## How to Calculate Input resistance of common emitter amplifier in terms of small-signal input resistance?

Input resistance of common emitter amplifier in terms of small-signal input resistance calculator uses resistance_input = (1/Base resistance+1/Base resistance+1/(Small-signal input resistance b/w base-emitter+(Common emitter current gain+1)*Total resistance in the emitter)) to calculate the Input resistance, The input resistance of common emitter amplifier in terms of small-signal input resistance formula is defined as the opposition offered to the flow of the current of the electrical circuit. Input resistance and is denoted by Ri symbol.

How to calculate Input resistance of common emitter amplifier in terms of small-signal input resistance using this online calculator? To use this online calculator for Input resistance of common emitter amplifier in terms of small-signal input resistance, enter Base resistance (RB1), Base resistance (RB2), Small-signal input resistance b/w base-emitter (rπ), Common emitter current gain (β) and Total resistance in the emitter (R) and hit the calculate button. Here is how the Input resistance of common emitter amplifier in terms of small-signal input resistance calculation can be explained with given input values -> 0.030442 = (1/50+1/100+1/(20+(55+1)*40)).

### FAQ

What is Input resistance of common emitter amplifier in terms of small-signal input resistance?
The input resistance of common emitter amplifier in terms of small-signal input resistance formula is defined as the opposition offered to the flow of the current of the electrical circuit and is represented as Ri = (1/RB1+1/RB2+1/(rπ+(β+1)*R)) or resistance_input = (1/Base resistance+1/Base resistance+1/(Small-signal input resistance b/w base-emitter+(Common emitter current gain+1)*Total resistance in the emitter)). Base resistance is a measure of the opposition to current flow in an electrical circuit, Base resistance is a measure of the opposition to current flow in an electrical circuit, Small-signal input resistance b/w base-emitter is the opposition offered to the current passing through the base-emitter region, Common emitter current gain is highly influenced by two factors: the width of the base region, W, and the relative dopings of the base region and the emitter region and The total resistance in the emitter is the total opposition caused in the flow of current in the emitter.
How to calculate Input resistance of common emitter amplifier in terms of small-signal input resistance?
The input resistance of common emitter amplifier in terms of small-signal input resistance formula is defined as the opposition offered to the flow of the current of the electrical circuit is calculated using resistance_input = (1/Base resistance+1/Base resistance+1/(Small-signal input resistance b/w base-emitter+(Common emitter current gain+1)*Total resistance in the emitter)). To calculate Input resistance of common emitter amplifier in terms of small-signal input resistance, you need Base resistance (RB1), Base resistance (RB2), Small-signal input resistance b/w base-emitter (rπ), Common emitter current gain (β) and Total resistance in the emitter (R). With our tool, you need to enter the respective value for Base resistance, Base resistance, Small-signal input resistance b/w base-emitter, Common emitter current gain and Total resistance in the emitter 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 Input resistance?
In this formula, Input resistance uses Base resistance, Base resistance, Small-signal input resistance b/w base-emitter, Common emitter current gain and Total resistance in the emitter. We can use 6 other way(s) to calculate the same, which is/are as follows -
• resistance_input = (1/Base resistance+1/Base resistance+1/Small-signal input resistance b/w base-emitter)
• overall_voltage_gain = -(Input resistance/Input resistance+Signal Resistance)*MOSFET Transconductance*(1/Total resistance in collector+1/Load resistance+1/Output resistance)
• resistance_input = (1/Base resistance+1/Base resistance+1/((Total resistance in the emitter+Emitter Resistance)*(Common emitter current gain+1)))
• resistance_input = (1/Base resistance+1/Base resistance+1/(Small-signal input resistance b/w base-emitter+(Common emitter current gain+1)*Total resistance in the emitter))
• overall_voltage_gain = -(Input resistance/(Input resistance+Signal Resistance))*Common-base current gain.*(Total resistance in collector/Total resistance in the emitter)
• resistance_output = 1*Output resistance of transistor
Where is the Input resistance of common emitter amplifier in terms of small-signal input resistance calculator used?
Among many, Input resistance of common emitter amplifier in terms of small-signal input resistance calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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