Output Resistance of Emitter-Degenerated CE Amplifier Solution

STEP 0: Pre-Calculation Summary
Formula Used
Drain Resistance = Finite Output Resistance+(MOSFET Primary Transconductance*Finite Output Resistance)*(1/Emitter Resistance+1/Small Signal Input Resistance)
Rd = Rout+(gmp*Rout)*(1/Re+1/Rsm)
This formula uses 5 Variables
Variables Used
Drain Resistance - (Measured in Ohm) - Drain resistance is the ratio of change in drain to source voltage to corresponding change in drain current for a constant gate to source voltage.
Finite Output Resistance - (Measured in Ohm) - The finite output resistance is a measure of how much the transistor's output impedance varies with changes in the output voltage.
MOSFET Primary Transconductance - (Measured in Siemens) - MOSFET Primary Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage.
Emitter Resistance - (Measured in Ohm) - Emitter Resistance is a dynamic resistance of the emitter-base junction diode of a transistor.
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.
STEP 1: Convert Input(s) to Base Unit
Finite Output Resistance: 0.35 Kilohm --> 350 Ohm (Check conversion ​here)
MOSFET Primary Transconductance: 19.77 Millisiemens --> 0.01977 Siemens (Check conversion ​here)
Emitter Resistance: 0.067 Kilohm --> 67 Ohm (Check conversion ​here)
Small Signal Input Resistance: 1.45 Kilohm --> 1450 Ohm (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rd = Rout+(gmp*Rout)*(1/Re+1/Rsm) --> 350+(0.01977*350)*(1/67+1/1450)
Evaluating ... ...
Rd = 350.108048188369
STEP 3: Convert Result to Output's Unit
350.108048188369 Ohm -->0.350108048188368 Kilohm (Check conversion ​here)
FINAL ANSWER
0.350108048188368 0.350108 Kilohm <-- Drain Resistance
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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Common Emitter Amplifier Calculators

Overall Feedback Voltage Gain of Common-Collector Amplifier
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Feedback Voltage Gain = -Common Base Current Gain*Collector Resistance/Emitter Resistance*(Input Resistance/(Input Resistance+Signal Resistance))
Fundamental Voltage in Common-Emitter Amplifier
​ LaTeX ​ Go Fundamental Component Voltage = Input Resistance*Base Current

CV Actions of Common Stage Amplifiers Calculators

Input Resistance of Common Emitter Amplifier
​ LaTeX ​ Go Input Resistance = (1/Base Resistance+1/Base Resistance 2+1/Small Signal Input Resistance)^-1
Input Impedance of Common-Base Amplifier
​ LaTeX ​ Go Input Impedance = (1/Emitter Resistance+1/Small Signal Input Resistance)^(-1)
Fundamental Voltage in Common-Emitter Amplifier
​ LaTeX ​ Go Fundamental Component Voltage = Input Resistance*Base Current
Emitter Current of Common-Base Amplifier
​ LaTeX ​ Go Emitter Current = Input Voltage/Emitter Resistance

Output Resistance of Emitter-Degenerated CE Amplifier Formula

​LaTeX ​Go
Drain Resistance = Finite Output Resistance+(MOSFET Primary Transconductance*Finite Output Resistance)*(1/Emitter Resistance+1/Small Signal Input Resistance)
Rd = Rout+(gmp*Rout)*(1/Re+1/Rsm)

What is Emitter-Degenerated CE Amplifier?

Emitter degeneration refers to the addition of a small resistor (R4) between the emitter and the common signal source. In this circuit the base terminal of the transistor is the input, the collector is the output, and the emitter is common to both. It is a voltage amplifier with an inverted output.

How to Calculate Output Resistance of Emitter-Degenerated CE Amplifier?

Output Resistance of Emitter-Degenerated CE Amplifier calculator uses Drain Resistance = Finite Output Resistance+(MOSFET Primary Transconductance*Finite Output Resistance)*(1/Emitter Resistance+1/Small Signal Input Resistance) to calculate the Drain Resistance, The Output Resistance of Emitter-Degenerated CE Amplifier of electrical network is measure of opposition to current flow (impedance), both static (resistance) and dynamic (reactance), into load network being connected that is internal to electrical source. Drain Resistance is denoted by Rd symbol.

How to calculate Output Resistance of Emitter-Degenerated CE Amplifier using this online calculator? To use this online calculator for Output Resistance of Emitter-Degenerated CE Amplifier, enter Finite Output Resistance (Rout), MOSFET Primary Transconductance (gmp), Emitter Resistance (Re) & Small Signal Input Resistance (Rsm) and hit the calculate button. Here is how the Output Resistance of Emitter-Degenerated CE Amplifier calculation can be explained with given input values -> 0.00035 = 350+(0.01977*350)*(1/67+1/1450).

FAQ

What is Output Resistance of Emitter-Degenerated CE Amplifier?
The Output Resistance of Emitter-Degenerated CE Amplifier of electrical network is measure of opposition to current flow (impedance), both static (resistance) and dynamic (reactance), into load network being connected that is internal to electrical source and is represented as Rd = Rout+(gmp*Rout)*(1/Re+1/Rsm) or Drain Resistance = Finite Output Resistance+(MOSFET Primary Transconductance*Finite Output Resistance)*(1/Emitter Resistance+1/Small Signal Input Resistance). The finite output resistance is a measure of how much the transistor's output impedance varies with changes in the output voltage, MOSFET Primary Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage, Emitter Resistance is a dynamic resistance of the emitter-base junction diode of a transistor & 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.
How to calculate Output Resistance of Emitter-Degenerated CE Amplifier?
The Output Resistance of Emitter-Degenerated CE Amplifier of electrical network is measure of opposition to current flow (impedance), both static (resistance) and dynamic (reactance), into load network being connected that is internal to electrical source is calculated using Drain Resistance = Finite Output Resistance+(MOSFET Primary Transconductance*Finite Output Resistance)*(1/Emitter Resistance+1/Small Signal Input Resistance). To calculate Output Resistance of Emitter-Degenerated CE Amplifier, you need Finite Output Resistance (Rout), MOSFET Primary Transconductance (gmp), Emitter Resistance (Re) & Small Signal Input Resistance (Rsm). With our tool, you need to enter the respective value for Finite Output Resistance, MOSFET Primary Transconductance, Emitter Resistance & Small Signal Input 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 Drain Resistance?
In this formula, Drain Resistance uses Finite Output Resistance, MOSFET Primary Transconductance, Emitter Resistance & Small Signal Input Resistance. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Drain Resistance = Resistance of Secondary Winding in Primary+2*Finite Resistance+2*Finite Resistance*MOSFET Primary Transconductance*Resistance of Secondary Winding in Primary
  • Drain Resistance = Finite Output Resistance+Source Resistance+(MOSFET Primary Transconductance*Finite Output Resistance*Source Resistance)
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