Input Resistance in Small-Signal Operation of Current Mirrors Solution

STEP 0: Pre-Calculation Summary
Formula Used
Input Resistance = 1/Transconductance
Ri = 1/gm
This formula uses 2 Variables
Variables Used
Input Resistance - (Measured in Ohm) - Input resistance is the resistance value of the voltage amplifier.
Transconductance - (Measured in Siemens) - Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage.
STEP 1: Convert Input(s) to Base Unit
Transconductance: 0.25 Siemens --> 0.25 Siemens No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ri = 1/gm --> 1/0.25
Evaluating ... ...
Ri = 4
STEP 3: Convert Result to Output's Unit
4 Ohm --> No Conversion Required
FINAL ANSWER
4 Ohm <-- Input Resistance
(Calculation completed in 00.004 seconds)

Credits

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Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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National Institute Of Technology (NIT), Hamirpur
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Input Resistance in Small-Signal Operation of Current Mirrors
​ LaTeX ​ Go Input Resistance = 1/Transconductance

Input Resistance in Small-Signal Operation of Current Mirrors Formula

​LaTeX ​Go
Input Resistance = 1/Transconductance
Ri = 1/gm

What is a current mirror?

A current mirror is a circuit designed to copy a current through one active device by controlling the current in another active device of a circuit, keeping the output current constant regardless of loading.

How to Calculate Input Resistance in Small-Signal Operation of Current Mirrors?

Input Resistance in Small-Signal Operation of Current Mirrors calculator uses Input Resistance = 1/Transconductance to calculate the Input Resistance, The input resistance in small-signal operation of current mirrors is defined as the resistance seen by the current source or voltage source which drives the circuit. Input Resistance is denoted by Ri symbol.

How to calculate Input Resistance in Small-Signal Operation of Current Mirrors using this online calculator? To use this online calculator for Input Resistance in Small-Signal Operation of Current Mirrors, enter Transconductance (gm) and hit the calculate button. Here is how the Input Resistance in Small-Signal Operation of Current Mirrors calculation can be explained with given input values -> 4E-6 = 1/0.25.

FAQ

What is Input Resistance in Small-Signal Operation of Current Mirrors?
The input resistance in small-signal operation of current mirrors is defined as the resistance seen by the current source or voltage source which drives the circuit and is represented as Ri = 1/gm or Input Resistance = 1/Transconductance. Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage.
How to calculate Input Resistance in Small-Signal Operation of Current Mirrors?
The input resistance in small-signal operation of current mirrors is defined as the resistance seen by the current source or voltage source which drives the circuit is calculated using Input Resistance = 1/Transconductance. To calculate Input Resistance in Small-Signal Operation of Current Mirrors, you need Transconductance (gm). With our tool, you need to enter the respective value for Transconductance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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