Input Resistance given Transconductance Calculator

✖Small Signal Current Gain is a measure of how much the collector current changes in response to a small change in the base current .ⓘ Small Signal Current Gain [β₀]			+10% -10%
✖Transconductance is defined as the ratio of the change in the output current to the change in the input voltage, with the gate-source voltage held constant.ⓘ Transconductance [g_m]			+10% -10%

✖The Input Resistance is the resistance seen at the base terminal of the transistor.ⓘ Input Resistance given Transconductance [r_π]

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Formula

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Input Resistance given Transconductance

Formula

`"r"_{"π"} = "β"_{"0"}/"g"_{"m"}`

Example

`"9400Ω"="4.7"/"0.5mS"`

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Input Resistance given Transconductance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Input Resistance = Small Signal Current Gain/Transconductance
r_π = β₀/g_m
This formula uses 3 Variables

Variables Used

Input Resistance - (Measured in Ohm) - The Input Resistance is the resistance seen at the base terminal of the transistor.
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 .
Transconductance - (Measured in Siemens) - Transconductance is defined as the ratio of the change in the output current to the change in the input voltage, with the gate-source voltage held constant.

STEP 1: Convert Input(s) to Base Unit

Small Signal Current Gain: 4.7 --> No Conversion Required
Transconductance: 0.5 Millisiemens --> 0.0005 Siemens (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_π = β₀/g_m --> 4.7/0.0005

Evaluating ... ...

r_π = 9400

STEP 3: Convert Result to Output's Unit

9400 Ohm --> No Conversion Required

FINAL ANSWER

9400 Ohm <-- Input Resistance

(Calculation completed in 00.004 seconds)

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Created by Suma Madhuri

VIT University (VIT), Chennai

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Chandigarh University (CU), Punjab

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< 14 Resistance Calculators

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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 given Transconductance Formula

Input Resistance = Small Signal Current Gain/Transconductance
r_π = β₀/g_m

What are the factors that affect the input resistance of a device?

The following factors can affect the input resistance of a device:

Type of device: The type of device can have a significant impact on its input resistance. For example, the input resistance is typically much higher than the input resistance of a field-effect transistor.
Device parameters: The specific parameters of a device can also affect its input resistance. For example, the input resistance depends on the device's forward active mode.

How to Calculate Input Resistance given Transconductance?

Input Resistance given Transconductance calculator uses Input Resistance = Small Signal Current Gain/Transconductance to calculate the Input Resistance, The Input Resistance given Transconductance formula is defined as the reciprocal of the transconductance of the device. It is a measure of how much the input current to a device changes when the input voltage is changed. Input Resistance is denoted by r_π symbol.

How to calculate Input Resistance given Transconductance using this online calculator? To use this online calculator for Input Resistance given Transconductance, enter Small Signal Current Gain (β₀) & Transconductance (g_m) and hit the calculate button. Here is how the Input Resistance given Transconductance calculation can be explained with given input values -> 9400 = 4.7/0.0005.

FAQ

What is Input Resistance given Transconductance?

The Input Resistance given Transconductance formula is defined as the reciprocal of the transconductance of the device. It is a measure of how much the input current to a device changes when the input voltage is changed and is represented as r_π = β₀/g_m or Input Resistance = Small Signal Current Gain/Transconductance. Small Signal Current Gain is a measure of how much the collector current changes in response to a small change in the base current & Transconductance is defined as the ratio of the change in the output current to the change in the input voltage, with the gate-source voltage held constant.

How to calculate Input Resistance given Transconductance?

The Input Resistance given Transconductance formula is defined as the reciprocal of the transconductance of the device. It is a measure of how much the input current to a device changes when the input voltage is changed is calculated using Input Resistance = Small Signal Current Gain/Transconductance. To calculate Input Resistance given Transconductance, you need Small Signal Current Gain (β₀) & Transconductance (g_m). With our tool, you need to enter the respective value for Small Signal Current Gain & Transconductance 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 Small Signal Current Gain & Transconductance. We can use 2 other way(s) to calculate the same, which is/are as follows -

Input Resistance = Input Voltage/Base Current
Input Resistance = Input Voltage/(Collector Current*Small Signal Current Gain)

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