Input Resistance of Common Emitter Amplifier given Small-Signal Input Resistance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Input Resistance = (1/Base Resistance+1/Base Resistance 2+1/(Small Signal Input Resistance+(Collector Base Current Gain+1)*Emitter Resistance))^-1
Rin = (1/Rb+1/Rb2+1/(Rsm+(β+1)*Re))^-1
This formula uses 6 Variables
Variables Used
Input Resistance - (Measured in Ohm) - Input resistance 2 is the opposition that an electrical component or circuit presents to the flow of electrical current when a voltage is applied to it.
Base Resistance - (Measured in Ohm) - Base resistance is a measure of the opposition to current flow in an electrical circuit.
Base Resistance 2 - (Measured in Ohm) - Base resistance 2 is a measure of the opposition to current flow in an electrical circuit.
Small Signal Input Resistance - (Measured in Ohm) - Small signal input resistance 2 between Base and emitter models how the input impedance between the base and emitter terminals of the transistor changes when a small AC signal is applied.
Collector Base Current Gain - Collector Base Current Gain is a term used in electronic circuits to describe the maximum current that a collector-emitter junction of a transistor can tolerate without breaking down.
Emitter Resistance - (Measured in Ohm) - Emitter Resistance is a dynamic resistance of the emitter-base junction diode of a transistor.
STEP 1: Convert Input(s) to Base Unit
Base Resistance: 1.213 Kilohm --> 1213 Ohm (Check conversion here)
Base Resistance 2: 0.534 Kilohm --> 534 Ohm (Check conversion here)
Small Signal Input Resistance: 1.45 Kilohm --> 1450 Ohm (Check conversion here)
Collector Base Current Gain: 12 --> No Conversion Required
Emitter Resistance: 0.067 Kilohm --> 67 Ohm (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rin = (1/Rb+1/Rb2+1/(Rsm+(β+1)*Re))^-1 --> (1/1213+1/534+1/(1450+(12+1)*67))^-1
Evaluating ... ...
Rin = 319.702267014196
STEP 3: Convert Result to Output's Unit
319.702267014196 Ohm -->0.319702267014196 Kilohm (Check conversion here)
FINAL ANSWER
0.319702267014196 0.319702 Kilohm <-- Input Resistance
(Calculation completed in 00.004 seconds)

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8 Common-Emitter Amplifier Calculators

Overall Feedback Voltage Gain of Common-Collector Amplifier
Go Overall Voltage Gain = ((Collector Base Current Gain+1)*Load Resistance)/((Collector Base Current Gain+1)*Load Resistance+(Collector Base Current Gain+1)*Emitter Resistance+Signal Resistance)
Overall Voltage Gain of Common-Emitter Amplifier
Go Feedback Voltage Gain = -MOSFET Primary Transconductance*(Input Resistance/(Input Resistance+Signal Resistance))*(1/Collector Resistance+1/Load Resistance+1/Finite Output Resistance)^-1
Overall Feedback Voltage Gain of Common-Emitter Amplifier
Go Feedback Voltage Gain = -Common Base Current Gain*Collector Resistance/Emitter Resistance*(Input Resistance/(Input Resistance+Signal Resistance))
Output Resistance of Emitter-Degenerated CE Amplifier
Go Drain Resistance = Finite Output Resistance+(MOSFET Primary Transconductance*Finite Output Resistance)*(1/Emitter Resistance+1/Small Signal Input Resistance)
Input Resistance of Common Emitter Amplifier given Small-Signal Input Resistance
Go Input Resistance = (1/Base Resistance+1/Base Resistance 2+1/(Small Signal Input Resistance+(Collector Base Current Gain+1)*Emitter Resistance))^-1
Input Resistance of Common-Emitter Amplifier given Emitter Resistance
Go Input Resistance = (1/Base Resistance+1/Base Resistance 2+1/((Total Resistance+Emitter Resistance)*(Collector Base Current Gain+1)))^-1
Input Resistance of Common Emitter Amplifier
Go Input Resistance = (1/Base Resistance+1/Base Resistance 2+1/Small Signal Input Resistance)^-1
Fundamental Voltage in Common-Emitter Amplifier
Go Fundamental Component Voltage = Input Resistance*Base Current

18 CV Actions of Common Stage Amplifiers Calculators

Output Voltage of Controlled Source Transistor
Go DC Component of Gate to Source Voltage = (Voltage Gain*Electric Current-Short Circuit Transconductance*Differential Output Signal)*(1/Final Resistance+1/Resistance of Primary Winding in Secondary)
Input Resistance of Common-Base Circuit
Go Input Resistance = (Emitter Resistance*(Finite Output Resistance+Load Resistance))/(Finite Output Resistance+(Load Resistance/(Collector Base Current Gain+1)))
Output Resistance at Another Drain of Controlled Source Transistor
Go Drain Resistance = Resistance of Secondary Winding in Primary+2*Finite Resistance+2*Finite Resistance*MOSFET Primary Transconductance*Resistance of Secondary Winding in Primary
Output Resistance of Emitter-Degenerated CE Amplifier
Go Drain Resistance = Finite Output Resistance+(MOSFET Primary Transconductance*Finite Output Resistance)*(1/Emitter Resistance+1/Small Signal Input Resistance)
Input Resistance of Common Emitter Amplifier given Small-Signal Input Resistance
Go Input Resistance = (1/Base Resistance+1/Base Resistance 2+1/(Small Signal Input Resistance+(Collector Base Current Gain+1)*Emitter Resistance))^-1
Output Resistance of CS Amplifier with Source Resistance
Go Drain Resistance = Finite Output Resistance+Source Resistance+(MOSFET Primary Transconductance*Finite Output Resistance*Source Resistance)
Input Resistance of Common-Emitter Amplifier given Emitter Resistance
Go Input Resistance = (1/Base Resistance+1/Base Resistance 2+1/((Total Resistance+Emitter Resistance)*(Collector Base Current Gain+1)))^-1
Instantaneous Drain Current using Voltage between Drain and Source
Go Drain Current = Transconductance Parameter*(Voltage across Oxide-Threshold Voltage)*Voltage between Gate and Source
Transconductance in Common Source Amplifier
Go MOSFET Primary Transconductance = Unity Gain Frequency*(Gate to Source Capacitance+Capacitance Gate to Drain)
Input Resistance of Common Emitter Amplifier
Go Input Resistance = (1/Base Resistance+1/Base Resistance 2+1/Small Signal Input Resistance)^-1
Input Impedance of Common-Base Amplifier
Go Input Impedance = (1/Emitter Resistance+1/Small Signal Input Resistance)^(-1)
Signal Current in Emitter given Input Signal
Go Signal Current in Emitter = Fundamental Component Voltage/Emitter Resistance
Transconductance using Collector Current of Transistor Amplifier
Go MOSFET Primary Transconductance = Collector Current/Threshold Voltage
Fundamental Voltage in Common-Emitter Amplifier
Go Fundamental Component Voltage = Input Resistance*Base Current
Input Resistance of Common-Collector Amplifier
Go Input Resistance = Fundamental Component Voltage/Base Current
Resistance of Emitter in Common-Base Amplifier
Go Emitter Resistance = Input Voltage/Emitter Current
Emitter Current of Common-Base Amplifier
Go Emitter Current = Input Voltage/Emitter Resistance
Load Voltage of CS Amplifier
Go Load Voltage = Voltage Gain*Input Voltage

Input Resistance of Common Emitter Amplifier given Small-Signal Input Resistance Formula

Input Resistance = (1/Base Resistance+1/Base Resistance 2+1/(Small Signal Input Resistance+(Collector Base Current Gain+1)*Emitter Resistance))^-1
Rin = (1/Rb+1/Rb2+1/(Rsm+(β+1)*Re))^-1

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 given Small-Signal Input Resistance?

Input Resistance of Common Emitter Amplifier given Small-Signal Input Resistance calculator uses Input Resistance = (1/Base Resistance+1/Base Resistance 2+1/(Small Signal Input Resistance+(Collector Base Current Gain+1)*Emitter Resistance))^-1 to calculate the Input Resistance, The Input resistance of common emitter amplifier given small-signal input resistance formula is defined as the opposition offered to the flow of the current of the electrical circuit. Input Resistance is denoted by Rin symbol.

How to calculate Input Resistance of Common Emitter Amplifier given Small-Signal Input Resistance using this online calculator? To use this online calculator for Input Resistance of Common Emitter Amplifier given Small-Signal Input Resistance, enter Base Resistance (Rb), Base Resistance 2 (Rb2), Small Signal Input Resistance (Rsm), Collector Base Current Gain (β) & Emitter Resistance (Re) and hit the calculate button. Here is how the Input Resistance of Common Emitter Amplifier given Small-Signal Input Resistance calculation can be explained with given input values -> 0.00032 = (1/1213+1/534+1/(1450+(12+1)*67))^-1.

FAQ

What is Input Resistance of Common Emitter Amplifier given Small-Signal Input Resistance?
The Input resistance of common emitter amplifier given 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 Rin = (1/Rb+1/Rb2+1/(Rsm+(β+1)*Re))^-1 or Input Resistance = (1/Base Resistance+1/Base Resistance 2+1/(Small Signal Input Resistance+(Collector Base Current Gain+1)*Emitter Resistance))^-1. Base resistance is a measure of the opposition to current flow in an electrical circuit, Base resistance 2 is a measure of the opposition to current flow in an electrical circuit, Small signal input resistance 2 between Base and emitter models how the input impedance between the base and emitter terminals of the transistor changes when a small AC signal is applied, Collector Base Current Gain is a term used in electronic circuits to describe the maximum current that a collector-emitter junction of a transistor can tolerate without breaking down & Emitter Resistance is a dynamic resistance of the emitter-base junction diode of a transistor.
How to calculate Input Resistance of Common Emitter Amplifier given Small-Signal Input Resistance?
The Input resistance of common emitter amplifier given small-signal input resistance formula is defined as the opposition offered to the flow of the current of the electrical circuit is calculated using Input Resistance = (1/Base Resistance+1/Base Resistance 2+1/(Small Signal Input Resistance+(Collector Base Current Gain+1)*Emitter Resistance))^-1. To calculate Input Resistance of Common Emitter Amplifier given Small-Signal Input Resistance, you need Base Resistance (Rb), Base Resistance 2 (Rb2), Small Signal Input Resistance (Rsm), Collector Base Current Gain (β) & Emitter Resistance (Re). With our tool, you need to enter the respective value for Base Resistance, Base Resistance 2, Small Signal Input Resistance, Collector Base Current Gain & Emitter 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 Input Resistance?
In this formula, Input Resistance uses Base Resistance, Base Resistance 2, Small Signal Input Resistance, Collector Base Current Gain & Emitter Resistance. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Input Resistance = (1/Base Resistance+1/Base Resistance 2+1/Small Signal Input Resistance)^-1
  • Input Resistance = (1/Base Resistance+1/Base Resistance 2+1/((Total Resistance+Emitter Resistance)*(Collector Base Current Gain+1)))^-1
  • Input Resistance = (1/Base Resistance+1/Base Resistance 2+1/Small Signal Input Resistance)^-1
  • Input Resistance = (Emitter Resistance*(Finite Output Resistance+Load Resistance))/(Finite Output Resistance+(Load Resistance/(Collector Base Current Gain+1)))
  • Input Resistance = Fundamental Component Voltage/Base Current
  • Input Resistance = (1/Base Resistance+1/Base Resistance 2+1/((Total Resistance+Emitter Resistance)*(Collector Base Current Gain+1)))^-1
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