Input Resistance of Mosfet Solution

STEP 0: Pre-Calculation Summary
Formula Used
Input Resistance = Input Voltage/(Collector Current*Small Signal Current Gain)
rπ = Vi/(ic*β0)
This formula uses 4 Variables
Variables Used
Input Resistance - (Measured in Ohm) - The Input Resistance is the resistance seen at the base terminal of the transistor.
Input Voltage - (Measured in Volt) - The Input Voltage is the voltage applied to the base terminal. It is the voltage difference between the base terminal and the emitter terminal of the transistor.
Collector Current - (Measured in Ampere) - The Collector Current s the current that flows through the collector terminal. It is the current that is controlled by the base current.
Small Signal Current Gain - Small Signal Current Gain is a measure of how much the collector current changes in response to a small change in the base current .
STEP 1: Convert Input(s) to Base Unit
Input Voltage: 2.1 Volt --> 2.1 Volt No Conversion Required
Collector Current: 1.89 Ampere --> 1.89 Ampere No Conversion Required
Small Signal Current Gain: 4.7 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rπ = Vi/(ic0) --> 2.1/(1.89*4.7)
Evaluating ... ...
rπ = 0.236406619385343
STEP 3: Convert Result to Output's Unit
0.236406619385343 Ohm --> No Conversion Required
FINAL ANSWER
0.236406619385343 0.236407 Ohm <-- Input Resistance
(Calculation completed in 00.020 seconds)

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Created by Suma Madhuri
VIT University (VIT), Chennai
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14 Resistance Calculators

MOSFET as Linear Resistance given Aspect Ratio
​ Go Linear Resistance = Channel Length/(Mobility of Electrons at Surface of Channel*Oxide Capacitance*Channel Width*Effective Voltage)
Output Resistance of Differential Amplifier
​ Go Output Resistance = ((Common Mode Input Signal*Transconductance)-Total Current)/(2*Transconductance*Total Current)
Input Resistance of Mosfet
​ Go Input Resistance = Input Voltage/(Collector Current*Small Signal Current Gain)
Finite Resistance between Drain and Source
​ Go Finite Resistance = modulus(Positive DC Voltage)/Drain Current
Output Resistance given Channel Length Modulation
​ Go Output Resistance = 1/(Channel Length Modulation*Drain Current)
Input Resistance given Transconductance
​ Go Input Resistance = Small Signal Current Gain/Transconductance
Electron Mean Free Path
​ Go Electron Mean Free Path = 1/(Output Resistance*Drain Current)
Drain Output Resistance
​ Go Output Resistance = 1/(Electron Mean Free Path*Drain Current)
Output Resistance given Transconductance
​ Go Output Resistance = 1/(Carrier Mobility*Transconductance)
Voltage Dependent Resistance in MOSFET
​ Go Finite Resistance = Effective Voltage/Drain Current
Output Resistance of Mosfet
​ Go Output Resistance = Early Voltage/Collector Current
Small Signal Input Resistance
​ Go Input Resistance = Input Voltage/Base Current
Conductance in Linear Resistance of MOSFET
​ Go Conductance of Channel = 1/Linear Resistance
MOSFET as Linear Resistance
​ Go Linear Resistance = 1/Conductance of Channel

Input Resistance of Mosfet Formula

Input Resistance = Input Voltage/(Collector Current*Small Signal Current Gain)
rπ = Vi/(ic*β0)

What are the applications of the input resistance of a MOSFET?

The high input resistance of MOSFETs makes them useful in a variety of applications, including:

Amplifiers: MOSFETs can be used to amplify very weak signals because their high input resistance means that they will not draw much current from the signal source, which will not attenuate the signal.
Switches: MOSFETs can be used as switches because their high input resistance means that they can be turned on and off with a very small amount of current.

How to Calculate Input Resistance of Mosfet?

Input Resistance of Mosfet calculator uses Input Resistance = Input Voltage/(Collector Current*Small Signal Current Gain) to calculate the Input Resistance, The Input Resistance of Mosfet formula is defined as the resistance seen at the gate terminal of the MOSFET. It is a measure of how much the gate current changes when the gate voltage is changed. Input Resistance is denoted by rπ symbol.

How to calculate Input Resistance of Mosfet using this online calculator? To use this online calculator for Input Resistance of Mosfet, enter Input Voltage (Vi), Collector Current (ic) & Small Signal Current Gain 0) and hit the calculate button. Here is how the Input Resistance of Mosfet calculation can be explained with given input values -> 0.236407 = 2.1/(1.89*4.7).

FAQ

What is Input Resistance of Mosfet?
The Input Resistance of Mosfet formula is defined as the resistance seen at the gate terminal of the MOSFET. It is a measure of how much the gate current changes when the gate voltage is changed and is represented as rπ = Vi/(ic0) or Input Resistance = Input Voltage/(Collector Current*Small Signal Current Gain). The Input Voltage is the voltage applied to the base terminal. It is the voltage difference between the base terminal and the emitter terminal of the transistor, The Collector Current s the current that flows through the collector terminal. It is the current that is controlled by the base current & Small Signal Current Gain is a measure of how much the collector current changes in response to a small change in the base current .
How to calculate Input Resistance of Mosfet?
The Input Resistance of Mosfet formula is defined as the resistance seen at the gate terminal of the MOSFET. It is a measure of how much the gate current changes when the gate voltage is changed is calculated using Input Resistance = Input Voltage/(Collector Current*Small Signal Current Gain). To calculate Input Resistance of Mosfet, you need Input Voltage (Vi), Collector Current (ic) & Small Signal Current Gain 0). With our tool, you need to enter the respective value for Input Voltage, Collector Current & Small Signal Current Gain 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 Input Voltage, Collector Current & Small Signal Current Gain. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Input Resistance = Input Voltage/Base Current
  • Input Resistance = Small Signal Current Gain/Transconductance
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