Output Voltage Gain given Transconductance Calculator

✖Load resistance is the resistance value of load given for the network.ⓘ Load Resistance [R_L]			+10% -10%
✖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%
✖Series Resistor is a current limiting resistor connected in series with the input voltage. It is used to limit maximum current flowing in a circuit.ⓘ Series Resistor [R_se]			+10% -10%

✖Output voltage gain is the difference between the output signal voltage level in decibels and the input signal voltage level in decibels.ⓘ Output Voltage Gain given Transconductance [A_v]

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Output Voltage Gain given Transconductance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Output Voltage Gain = -(Load Resistance/(1/Transconductance+Series Resistor))
A_v = -(R_L/(1/g_m+R_se))
This formula uses 4 Variables

Variables Used

Output Voltage Gain - Output voltage gain is the difference between the output signal voltage level in decibels and the input signal voltage level in decibels.
Load Resistance - (Measured in Ohm) - Load resistance is the resistance value of load given for the network.
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.
Series Resistor - (Measured in Ohm) - Series Resistor is a current limiting resistor connected in series with the input voltage. It is used to limit maximum current flowing in a circuit.

STEP 1: Convert Input(s) to Base Unit

Load Resistance: 4.5 Kilohm --> 4500 Ohm (Check conversion here)
Transconductance: 2.04 Siemens --> 2.04 Siemens No Conversion Required
Series Resistor: 12.25 Kilohm --> 12250 Ohm (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_v = -(R_L/(1/g_m+R_se)) --> -(4500/(1/2.04+12250))

Evaluating ... ...

A_v = -0.367332239606258

STEP 3: Convert Result to Output's Unit

-0.367332239606258 --> No Conversion Required

FINAL ANSWER

-0.367332239606258 ≈ -0.367332 <-- Output Voltage Gain

(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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Output Voltage Gain given Transconductance Formula

LaTeX Go

Output Voltage Gain = -(Load Resistance/(1/Transconductance+Series Resistor))
A_v = -(R_L/(1/g_m+R_se))

What is voltage gain?

The difference between the output signal voltage level in decibels and the input signal voltage level in decibels; this value is equal to 20 times the common logarithm of the ratio of the output voltage to the input voltage.

How to Calculate Output Voltage Gain given Transconductance?

Output Voltage Gain given Transconductance calculator uses Output Voltage Gain = -(Load Resistance/(1/Transconductance+Series Resistor)) to calculate the Output Voltage Gain, The Output Voltage Gain given Transconductance formula is defined as the amount of voltage that an electronic device needs in order to power on and function. Output Voltage Gain is denoted by A_v symbol.

How to calculate Output Voltage Gain given Transconductance using this online calculator? To use this online calculator for Output Voltage Gain given Transconductance, enter Load Resistance (R_L), Transconductance (g_m) & Series Resistor (R_se) and hit the calculate button. Here is how the Output Voltage Gain given Transconductance calculation can be explained with given input values -> -0.353213 = -(4500/(1/0.00204+12250)).

FAQ

What is Output Voltage Gain given Transconductance?

The Output Voltage Gain given Transconductance formula is defined as the amount of voltage that an electronic device needs in order to power on and function and is represented as A_v = -(R_L/(1/g_m+R_se)) or Output Voltage Gain = -(Load Resistance/(1/Transconductance+Series Resistor)). Load resistance is the resistance value of load given for the network, 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 & Series Resistor is a current limiting resistor connected in series with the input voltage. It is used to limit maximum current flowing in a circuit.

How to calculate Output Voltage Gain given Transconductance?

The Output Voltage Gain given Transconductance formula is defined as the amount of voltage that an electronic device needs in order to power on and function is calculated using Output Voltage Gain = -(Load Resistance/(1/Transconductance+Series Resistor)). To calculate Output Voltage Gain given Transconductance, you need Load Resistance (R_L), Transconductance (g_m) & Series Resistor (R_se). With our tool, you need to enter the respective value for Load Resistance, Transconductance & Series Resistor 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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