Input Resistance in Small-Signal Operation of Current Mirrors Calculator

✖Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage.ⓘ Transconductance [g_m]

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✖Input resistance is the resistance value of the voltage amplifier.ⓘ Input Resistance in Small-Signal Operation of Current Mirrors [R_i]

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Formula

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Input Resistance in Small-Signal Operation of Current Mirrors

Formula

`"R"_{"i"} = 1/"g"_{"m"}`

Example

`"4Ω"=1/"0.25S"`

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Input Resistance in Small-Signal Operation of Current Mirrors Solution

STEP 0: Pre-Calculation Summary

Formula Used

Input Resistance = 1/Transconductance
R_i = 1/g_m
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

R_i = 1/g_m --> 1/0.25

Evaluating ... ...

R_i = 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)

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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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Go Voltage Gain of Amplifier = -Transconductance*(1/Finite Output Resistance 1+1/Finite Output Resistance 2)

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Output Voltage Gain of Active Loaded CE Amplifier

Go Output Voltage Gain = -Transconductance*Output Resistance

Overall Voltage Gain given Signal Source

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Input Resistance in Small-Signal Operation of Current Mirrors

Go Input Resistance = 1/Transconductance

Input Resistance in Small-Signal Operation of Current Mirrors Formula

Input Resistance = 1/Transconductance
R_i = 1/g_m

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 R_i 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 (g_m) 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 R_i = 1/g_m 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 (g_m). 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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