Input Resistance of Common-Gate Circuit Solution

STEP 0: Pre-Calculation Summary
Formula Used
Input Resistance = Test Voltage/Test Current
Rin = Vx/ix
This formula uses 3 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.
Test Voltage - (Measured in Volt) - Test voltage involves placing an extra-high voltage across the insulation barrier of the device for one minute.
Test Current - (Measured in Ampere) - Test current is a flow of electrical charge carriers, usually electrons or electron-deficient atoms.
STEP 1: Convert Input(s) to Base Unit
Test Voltage: 27 Volt --> 27 Volt No Conversion Required
Test Current: 89 Milliampere --> 0.089 Ampere (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rin = Vx/ix --> 27/0.089
Evaluating ... ...
Rin = 303.370786516854
STEP 3: Convert Result to Output's Unit
303.370786516854 Ohm -->0.303370786516854 Kilohm (Check conversion here)
FINAL ANSWER
0.303370786516854 0.303371 Kilohm <-- Input Resistance
(Calculation completed in 00.004 seconds)

Credits

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Birsa Institute of Technology (BIT), Sindri
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18 Transistor Amplifier Characteristics Calculators

Current Flowing through Induced Channel in Transistor given Oxide Voltage
Go Output Current = (Mobility of Electron*Oxide Capacitance*(Width of Channel/Length of Channel)*(Voltage across Oxide-Threshold Voltage))*Saturation Voltage between Drain and Source
Overall Effective Voltage of MOSFET Transconductance
Go Effective Voltage = sqrt(2*Saturation Drain Current/(Process Transconductance Parameter*(Width of Channel/Length of Channel)))
Current Entering Drain Terminal of MOSFET at Saturation
Go Saturation Drain Current = 1/2*Process Transconductance Parameter*(Width of Channel/Length of Channel)*(Effective Voltage)^2
Input Voltage given Signal Voltage
Go Fundamental Component Voltage = (Finite Input Resistance/(Finite Input Resistance+Signal Resistance))*Small Signal Voltage
Transconductance Parameter of MOS Transistor
Go Transconductance Parameter = Drain Current/((Voltage across Oxide-Threshold Voltage)*Voltage between Gate and Source)
Instantaneous Drain Current using Voltage between Drain and Source
Go Drain Current = Transconductance Parameter*(Voltage across Oxide-Threshold Voltage)*Voltage between Gate and Source
Drain Current of Transistor
Go Drain Current = (Fundamental Component Voltage+Total Instantaneous Drain Voltage)/Drain Resistance
Total Instantaneous Drain Voltage
Go Total Instantaneous Drain Voltage = Fundamental Component Voltage-Drain Resistance*Drain Current
Input Voltage in Transistor
Go Fundamental Component Voltage = Drain Resistance*Drain Current-Total Instantaneous Drain Voltage
Transconductance of Transistor Amplifiers
Go MOSFET Primary Transconductance = (2*Drain Current)/(Voltage across Oxide-Threshold Voltage)
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
Input Resistance of Common-Collector Amplifier
Go Input Resistance = Fundamental Component Voltage/Base Current
Output Resistance of Common Gate Circuit given Test-Voltage
Go Finite Output Resistance = Test Voltage/Test Current
Amplifier Input of Transistor Amplifier
Go Amplifier Input = Input Resistance*Input Current
DC Current Gain of Amplifier
Go DC Current Gain = Collector Current/Base Current
Input Resistance of Common-Gate Circuit
Go Input Resistance = Test Voltage/Test Current
Test Current of Transistor Amplifier
Go Test Current = Test Voltage/Input Resistance

Input Resistance of Common-Gate Circuit Formula

Input Resistance = Test Voltage/Test Current
Rin = Vx/ix

What is the use of common-gate circuit?

This circuit configuration normally used as a voltage amplifier. The source of FET in this configuration is operating as input and drain as output.

How to Calculate Input Resistance of Common-Gate Circuit?

Input Resistance of Common-Gate Circuit calculator uses Input Resistance = Test Voltage/Test Current to calculate the Input Resistance, The input resistance of common-gate circuit formula is defined as measure of opposition to current, both static and dynamic, into load network that is external to electrical source. Input Resistance is denoted by Rin symbol.

How to calculate Input Resistance of Common-Gate Circuit using this online calculator? To use this online calculator for Input Resistance of Common-Gate Circuit, enter Test Voltage (Vx) & Test Current (ix) and hit the calculate button. Here is how the Input Resistance of Common-Gate Circuit calculation can be explained with given input values -> 8.6E-5 = 27/0.089.

FAQ

What is Input Resistance of Common-Gate Circuit?
The input resistance of common-gate circuit formula is defined as measure of opposition to current, both static and dynamic, into load network that is external to electrical source and is represented as Rin = Vx/ix or Input Resistance = Test Voltage/Test Current. Test voltage involves placing an extra-high voltage across the insulation barrier of the device for one minute & Test current is a flow of electrical charge carriers, usually electrons or electron-deficient atoms.
How to calculate Input Resistance of Common-Gate Circuit?
The input resistance of common-gate circuit formula is defined as measure of opposition to current, both static and dynamic, into load network that is external to electrical source is calculated using Input Resistance = Test Voltage/Test Current. To calculate Input Resistance of Common-Gate Circuit, you need Test Voltage (Vx) & Test Current (ix). With our tool, you need to enter the respective value for Test Voltage & Test Current 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 Test Voltage & Test Current. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Input Resistance = Fundamental Component Voltage/Base Current
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