Voltage Gain with Load Resistance at Input Calculator

✖Transconductance is the ratio of the change in current at the output terminal to the change in the voltage at the input terminal of an active device.ⓘ Transconductance [g_m]			+10% -10%
✖Load resistance is the cumulative resistance of a circuit, as seen by the voltage, current, or power source driving that circuit.ⓘ Load Resistance [R_L]			+10% -10%

✖Voltage gain is defined as the ratio of the output voltage to the input voltage.ⓘ Voltage Gain with Load Resistance at Input [A_v]

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Voltage Gain with Load Resistance at Input

Formula

`"A"_{"v"} = 1/2*"g"_{"m"}*"R"_{"L"}`

Example

`"3.576"=1/2*"4.8mS"*"1.49kΩ"`

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Voltage Gain with Load Resistance at Input Solution

STEP 0: Pre-Calculation Summary

Formula Used

Voltage Gain = 1/2*Transconductance*Load Resistance
A_v = 1/2*g_m*R_L
This formula uses 3 Variables

Variables Used

Voltage Gain - Voltage gain is defined as the ratio of the output voltage to the input voltage.
Transconductance - (Measured in Siemens) - Transconductance is the ratio of the change in current at the output terminal to the change in the voltage at the input terminal of an active device.
Load Resistance - (Measured in Ohm) - Load resistance is the cumulative resistance of a circuit, as seen by the voltage, current, or power source driving that circuit.

STEP 1: Convert Input(s) to Base Unit

Transconductance: 4.8 Millisiemens --> 0.0048 Siemens (Check conversion here)
Load Resistance: 1.49 Kilohm --> 1490 Ohm (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_v = 1/2*g_m*R_L --> 1/2*0.0048*1490

Evaluating ... ...

A_v = 3.576

STEP 3: Convert Result to Output's Unit

3.576 --> No Conversion Required

FINAL ANSWER

3.576 <-- Voltage Gain

(Calculation completed in 00.004 seconds)

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Created by Gowthaman N

Vellore Institute of Technology (VIT University), Chennai

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< 9 Response of CC & CB Amplifier Calculators

Pole at Input for CB-CG Amplifier with Buffer Implemented CC-CD

Go Input Pole Frequency = 1/(2*pi*(Second Input Capacitance/2+Capacitance)*((Signal Resistance*Input Resistance)/(Signal Resistance+Input Resistance)))

Overall Voltage Gain of CB-CG with Buffer Implemented CC-CD

Go Voltage Gain = 1/2*(Input Resistance/(Input Resistance+Signal Resistance))*(Transconductance*Load Resistance)

Overall Voltage Gain of CC CB Amplifier

Go Voltage Gain = 1/2*(Resistance/(Resistance+Signal Resistance))*Load Resistance*Transconductance

Input Resistance of CC CB Amplifier

Go Resistance = (Common Emitter Current Gain+1)*(Emitter Resistance+Resistance of Secondary Winding in Primary)

Pole at Output of CB-CG with Buffer Implemented CC-CD

Go Output Pole Frequency = 1/(2*pi*Capacitance*Load Resistance)

Total Capacitance of CB-CG Amplifier

Go Capacitance = 1/(2*pi*Load Resistance*Output Pole Frequency)

Load Resistance of CB-CG Amplifier

Go Load Resistance = 1/(2*pi*Capacitance*Output Pole Frequency)

Voltage Gain with Load Resistance at Input

Go Voltage Gain = 1/2*Transconductance*Load Resistance

Power Gain of Amplifier given Voltage Gain and Current Gain

Go Power Gain = Voltage Gain*Current Gain

Voltage Gain with Load Resistance at Input Formula

Voltage Gain = 1/2*Transconductance*Load Resistance
A_v = 1/2*g_m*R_L

Why might a negative voltage gain be desirable in certain amplifier configurations?

A negative voltage gain in amplifiers allows for signal inversion. This is useful in applications where phase reversal is needed, such as audio processing or feedback systems, without requiring additional circuitry for inversion.

How to Calculate Voltage Gain with Load Resistance at Input?

Voltage Gain with Load Resistance at Input calculator uses Voltage Gain = 1/2*Transconductance*Load Resistance to calculate the Voltage Gain, The Voltage Gain with Load Resistance at Input is a measure of how much the voltage of an electrical signal is amplified by an electronic circuit. It is defined as the ratio of the output voltage to the input voltage. Voltage Gain is denoted by A_v symbol.

How to calculate Voltage Gain with Load Resistance at Input using this online calculator? To use this online calculator for Voltage Gain with Load Resistance at Input, enter Transconductance (g_m) & Load Resistance (R_L) and hit the calculate button. Here is how the Voltage Gain with Load Resistance at Input calculation can be explained with given input values -> 3.5976 = 1/2*0.0048*1490.

FAQ

What is Voltage Gain with Load Resistance at Input?

The Voltage Gain with Load Resistance at Input is a measure of how much the voltage of an electrical signal is amplified by an electronic circuit. It is defined as the ratio of the output voltage to the input voltage and is represented as A_v = 1/2*g_m*R_L or Voltage Gain = 1/2*Transconductance*Load Resistance. Transconductance is the ratio of the change in current at the output terminal to the change in the voltage at the input terminal of an active device & Load resistance is the cumulative resistance of a circuit, as seen by the voltage, current, or power source driving that circuit.

How to calculate Voltage Gain with Load Resistance at Input?

The Voltage Gain with Load Resistance at Input is a measure of how much the voltage of an electrical signal is amplified by an electronic circuit. It is defined as the ratio of the output voltage to the input voltage is calculated using Voltage Gain = 1/2*Transconductance*Load Resistance. To calculate Voltage Gain with Load Resistance at Input, you need Transconductance (g_m) & Load Resistance (R_L). With our tool, you need to enter the respective value for Transconductance & Load Resistance 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 Voltage Gain?

In this formula, Voltage Gain uses Transconductance & Load Resistance. We can use 2 other way(s) to calculate the same, which is/are as follows -

Voltage Gain = 1/2*(Resistance/(Resistance+Signal Resistance))*Load Resistance*Transconductance
Voltage Gain = 1/2*(Input Resistance/(Input Resistance+Signal Resistance))*(Transconductance*Load Resistance)

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