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Voltage gain in terms of load resistance of the MOSFET Solution

STEP 0: Pre-Calculation Summary
Formula Used
voltage_gain = -MOSFET Transconductance*(1/Load resistance of MOSFET+1/Load resistance)/(1+MOSFET Transconductance*Series resistor)
Av = -gm*(1/RD+1/Rl)/(1+gm*Rs)
This formula uses 4 Variables
Variables Used
MOSFET Transconductance - MOSFET Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage. (Measured in Microsiemens)
Load resistance of MOSFET - Load resistance of MOSFET is the effective resistance of all of the circuit elements excluding the emf source (Measured in Ohm)
Load resistance - Load resistance is the resistance value of load given for the network (Measured in Kilohm)
Series resistor - 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. (Measured in Ohm)
STEP 1: Convert Input(s) to Base Unit
MOSFET Transconductance: 0.25 Microsiemens --> 2.5E-07 Siemens (Check conversion here)
Load resistance of MOSFET: 200 Ohm --> 200 Ohm No Conversion Required
Load resistance: 1 Kilohm --> 1000 Ohm (Check conversion here)
Series resistor: 50 Ohm --> 50 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Av = -gm*(1/RD+1/Rl)/(1+gm*Rs) --> -2.5E-07*(1/200+1/1000)/(1+2.5E-07*50)
Evaluating ... ...
Av = -1.49998125023437E-09
STEP 3: Convert Result to Output's Unit
-1.49998125023437E-09 Decibel --> No Conversion Required
FINAL ANSWER
-1.49998125023437E-09 Decibel <-- voltage gain
(Calculation completed in 00.016 seconds)

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Voltage gain of the amplifier proper
voltage_gain_of_the_amplifier_proper = voltage gain*(Load resistance/Load resistance+Output resistance) Go
Input resistance of the amplifier
amplifier_input = (Input resistance/(Input resistance+Signal Resistance))*Small Signal Go
Voltage between gate and source
voltage_between_gate_and_source = Input voltage/(1+MOSFET Transconductance*Series resistor) Go
Overall voltage gain in terms of transconductance
overall_voltage_gain = -MOSFET Transconductance*(1/Load Resistance+1/Load resistance) Go
Voltage gain of the amplifier in terms of resistance
voltage_gain_of_the_amplifier_proper = Output voltage/Input voltage Go
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Voltage gain in terms of load resistance of the MOSFET Formula

voltage_gain = -MOSFET Transconductance*(1/Load resistance of MOSFET+1/Load resistance)/(1+MOSFET Transconductance*Series resistor)
Av = -gm*(1/RD+1/Rl)/(1+gm*Rs)

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 Voltage gain in terms of load resistance of the MOSFET?

Voltage gain in terms of load resistance of the MOSFET calculator uses voltage_gain = -MOSFET Transconductance*(1/Load resistance of MOSFET+1/Load resistance)/(1+MOSFET Transconductance*Series resistor) to calculate the voltage gain, The Voltage gain in terms of load resistance of the MOSFET formula is defined as the amount of voltage that an electronic device needs in order to power on and function. voltage gain and is denoted by Av symbol.

How to calculate Voltage gain in terms of load resistance of the MOSFET using this online calculator? To use this online calculator for Voltage gain in terms of load resistance of the MOSFET, enter MOSFET Transconductance (gm), Load resistance of MOSFET (RD), Load resistance (Rl) and Series resistor (Rs) and hit the calculate button. Here is how the Voltage gain in terms of load resistance of the MOSFET calculation can be explained with given input values -> -1.500E-9 = -2.5E-07*(1/200+1/1000)/(1+2.5E-07*50).

FAQ

What is Voltage gain in terms of load resistance of the MOSFET?
The Voltage gain in terms of load resistance of the MOSFET 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 = -gm*(1/RD+1/Rl)/(1+gm*Rs) or voltage_gain = -MOSFET Transconductance*(1/Load resistance of MOSFET+1/Load resistance)/(1+MOSFET Transconductance*Series resistor). MOSFET Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage, Load resistance of MOSFET is the effective resistance of all of the circuit elements excluding the emf source, Load resistance is the resistance value of load given for the network and 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 Voltage gain in terms of load resistance of the MOSFET?
The Voltage gain in terms of load resistance of the MOSFET formula is defined as the amount of voltage that an electronic device needs in order to power on and function is calculated using voltage_gain = -MOSFET Transconductance*(1/Load resistance of MOSFET+1/Load resistance)/(1+MOSFET Transconductance*Series resistor). To calculate Voltage gain in terms of load resistance of the MOSFET, you need MOSFET Transconductance (gm), Load resistance of MOSFET (RD), Load resistance (Rl) and Series resistor (Rs). With our tool, you need to enter the respective value for MOSFET Transconductance, Load resistance of MOSFET, Load resistance and Series resistor 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 MOSFET Transconductance, Load resistance of MOSFET, Load resistance and Series resistor. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • resistance = Amplifier input/input current
  • amplifier_input = (Input resistance/(Input resistance+Signal Resistance))*Small Signal
  • voltage_gain_of_the_amplifier_proper = voltage gain*(Load resistance/Load resistance+Output resistance)
  • voltage_gain_of_the_amplifier_proper = Output voltage/Input voltage
  • overall_voltage_gain = Output voltage/Signal Output
  • overall_voltage_gain = (Input resistance/(Input resistance+Signal Resistance))*voltage gain*(Load resistance/(Load resistance+Output resistance))
  • overall_voltage_gain = Output voltage/input signal
  • overall_voltage_gain = -MOSFET Transconductance*(1/Load Resistance+1/Load resistance)
  • voltage_between_gate_and_source = Input voltage/(1+MOSFET Transconductance*Series resistor)
  • voltage_gain = -(Load resistance of MOSFET+1/Load Resistance)/(1/MOSFET Transconductance+Series resistor)
Where is the Voltage gain in terms of load resistance of the MOSFET calculator used?
Among many, Voltage gain in terms of load resistance of the MOSFET calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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