Output Voltage Gain given Transconductance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Output Voltage Gain = -(Load Resistance/(1/Transconductance+Series Resistor))
Av = -(RL/(1/gm+Rse))
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
Av = -(RL/(1/gm+Rse)) --> -(4500/(1/2.04+12250))
Evaluating ... ...
Av = -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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21 Amplifier Characteristics Calculators

Base Junction Width of Amplifier
Go Base Junction Width = (Base Emitter Area*[Charge-e]*Electron Diffusivity*Thermal Equilibrium Concentration)/Saturation Current
Saturation Current
Go Saturation Current = (Base Emitter Area*[Charge-e]*Electron Diffusivity*Thermal Equilibrium Concentration)/Base Junction Width
Differential Voltage in Amplifier
Go Differential Input Signal = Output Voltage/((Resistance 4/Resistance 3)*(1+(Resistance 2)/Resistance 1))
Output Voltage for Instrumentation Amplifier
Go Output Voltage = (Resistance 4/Resistance 3)*(1+(Resistance 2)/Resistance 1)*Differential Input Signal
Voltage Gain given Load Resistance
Go Voltage Gain = Common Base Current Gain*((1/(1/Load Resistance+1/Collector Resistance))/Emitter Resistance)
Load Power of Amplifier
Go Load Power = (Positive DC Voltage*Positive DC Current)+(Negative DC Voltage*Negative DC Current)
Signal Voltage of Amplifier
Go Signal Voltage = Input Voltage*((Input Resistance+Signal Resistance)/Input Resistance)
Input Voltage of Amplifier
Go Input Voltage = (Input Resistance/(Input Resistance+Signal Resistance))*Signal Voltage
Differential Gain of Instrumentation Amplifier
Go Differential Mode Gain = (Resistance 4/Resistance 3)*(1+(Resistance 2)/Resistance 1)
Load Resistance with respect to Transconductance
Go Load Resistance = -(Output Voltage Gain*(1/Transconductance+Series Resistor))
Output Voltage Gain given Transconductance
Go Output Voltage Gain = -(Load Resistance/(1/Transconductance+Series Resistor))
Open-Circuit Transresistance
Go Open Circuit Transresistance = Output Voltage/Input Current
Amplifier Power Efficiency
Go Power Efficiency Percentage = 100*(Load Power/Input Power)
Current Gain of Amplifier in Decibels
Go Current Gain in Decibels = 20*(log10(Current Gain) )
Output Voltage of Amplifier
Go Output Voltage = Voltage Gain*Input Voltage
Current Gain of Amplifier
Go Current Gain = Output Current/Input Current
Voltage Gain of Amplifier
Go Voltage Gain = Output Voltage/Input Voltage
Input Voltage at Maximum Power Dissipation
Go Input Voltage = (Peak Voltage*pi)/2
Peak Voltage at Maximum Power Dissipation
Go Peak Voltage = (2*Input Voltage)/pi
Power Gain of Amplifier
Go Power Gain = Load Power/Input Power
Open Circuit Time Constant of Amplifier
Go Open Circuit Time Constant = 1/Pole Frequency

Output Voltage Gain given Transconductance Formula

Output Voltage Gain = -(Load Resistance/(1/Transconductance+Series Resistor))
Av = -(RL/(1/gm+Rse))

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 Av 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 (RL), Transconductance (gm) & Series Resistor (Rse) 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 Av = -(RL/(1/gm+Rse)) 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 (RL), Transconductance (gm) & Series Resistor (Rse). 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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