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Voltage gain at the bias point Solution

STEP 0: Pre-Calculation Summary
Formula Used
voltage_gain = -MOSFET transconductance parameter*(Voltage across the oxide-Threshold voltage)*Load Resistance
Av = -kn*(VGS-VT)*RD
This formula uses 4 Variables
Variables Used
MOSFET transconductance parameter - MOSFET transconductance parameter is the product of the process transconductance parameter kn and the transistor aspect ratio (W/L). (Measured in Mho)
Voltage across the oxide - Voltage across the oxide due to the charge at the oxide-semiconductor interface and the third term is due to the charge density in the oxide. (Measured in Volt)
Threshold voltage - Threshold voltage of transistor is the minimum gate to source voltage that is needed to create a conducting path between the source and drain terminals. It is an important factor to maintain power efficiency. (Measured in Volt)
Load Resistance - Load resistance is the cumulative resistance of a circuit, as seen by the voltage, current, or power source driving that circuit. (Measured in Ohm)
STEP 1: Convert Input(s) to Base Unit
MOSFET transconductance parameter: 3 Mho --> 3 Siemens (Check conversion here)
Voltage across the oxide: 2 Volt --> 2 Volt No Conversion Required
Threshold voltage: 50 Volt --> 50 Volt No Conversion Required
Load Resistance: 800 Ohm --> 800 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Av = -kn*(VGS-VT)*RD --> -3*(2-50)*800
Evaluating ... ...
Av = 115200
STEP 3: Convert Result to Output's Unit
115200 Decibel --> No Conversion Required
FINAL ANSWER
115200 Decibel <-- voltage gain
(Calculation completed in 00.016 seconds)

10+ Basic Principles Calculators

Voltage across gas oxide when MOSFET acts as an amplifier
voltage_across_the_oxide = Threshold voltage+((sqrt(2*MOSFET transconductance parameter*Load Resistance*Supply Voltage+1)-1))/MOSFET transconductance parameter*Load Resistance Go
Voltage across collector-emitter when MOSFET acts as an amplifier
voltage_across_collector_emitter = Supply Voltage-Load Resistance*Saturation current*e^(Voltage across the base–emitter junction/Threshold voltage) Go
Output voltage when MOSFET acts as an amplifier
output_voltage = Supply Voltage-1/2*MOSFET transconductance parameter*Load Resistance*(Voltage across the oxide-Threshold voltage)^2 Go
Output voltage when the transistor is biased
output_voltage = Supply Voltage-1/2*MOSFET transconductance parameter*Load Resistance*(Voltage across the oxide-Threshold voltage)^2 Go
Collector current in active region when transistor acts as an amplifier
collector_current = Saturation current*e^(Voltage across the base–emitter junction/Threshold voltage) Go
Drain current when transistor acts as an amplifier
drain_current = 1/2*MOSFET transconductance parameter*(Voltage across the oxide-Threshold voltage)^2 Go
Overdrive voltage when MOSFET acts as an amplifier
effective_voltage_or_overdrive_voltage = modulus(Voltage across the oxide)-Threshold voltage Go
Output Voltage of the voltage amplifier
output_voltage_of_amplifier = Supply Voltage-Drain current*Load Resistance Go
Output Voltage of BJT Amplifier
output_voltage = Supply Voltage-Drain current of BJT*Load Resistance Go
Bias voltage of the transistor
bias_voltage = Voltage across the oxide+Input voltage Go

Voltage gain at the bias point Formula

voltage_gain = -MOSFET transconductance parameter*(Voltage across the oxide-Threshold voltage)*Load Resistance
Av = -kn*(VGS-VT)*RD

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 at the bias point?

Voltage gain at the bias point calculator uses voltage_gain = -MOSFET transconductance parameter*(Voltage across the oxide-Threshold voltage)*Load Resistance to calculate the voltage gain, The Voltage gain at the bias point is 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 at the bias point using this online calculator? To use this online calculator for Voltage gain at the bias point, enter MOSFET transconductance parameter (kn), Voltage across the oxide (VGS), Threshold voltage (VT) and Load Resistance (RD) and hit the calculate button. Here is how the Voltage gain at the bias point calculation can be explained with given input values -> 115200 = -3*(2-50)*800.

FAQ

What is Voltage gain at the bias point?
The Voltage gain at the bias point is the amount of voltage that an electronic device needs in order to power on and function and is represented as Av = -kn*(VGS-VT)*RD or voltage_gain = -MOSFET transconductance parameter*(Voltage across the oxide-Threshold voltage)*Load Resistance. MOSFET transconductance parameter is the product of the process transconductance parameter kn and the transistor aspect ratio (W/L), Voltage across the oxide due to the charge at the oxide-semiconductor interface and the third term is due to the charge density in the oxide, Threshold voltage of transistor is the minimum gate to source voltage that is needed to create a conducting path between the source and drain terminals. It is an important factor to maintain power efficiency and 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 at the bias point?
The Voltage gain at the bias point is the amount of voltage that an electronic device needs in order to power on and function is calculated using voltage_gain = -MOSFET transconductance parameter*(Voltage across the oxide-Threshold voltage)*Load Resistance. To calculate Voltage gain at the bias point, you need MOSFET transconductance parameter (kn), Voltage across the oxide (VGS), Threshold voltage (VT) and Load Resistance (RD). With our tool, you need to enter the respective value for MOSFET transconductance parameter, Voltage across the oxide, Threshold voltage and 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 MOSFET transconductance parameter, Voltage across the oxide, Threshold voltage and Load Resistance. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • collector_current = Saturation current*e^(Voltage across the base–emitter junction/Threshold voltage)
  • output_voltage_of_amplifier = Supply Voltage-Drain current*Load Resistance
  • output_voltage = Supply Voltage-Drain current of BJT*Load Resistance
  • drain_current = 1/2*MOSFET transconductance parameter*(Voltage across the oxide-Threshold voltage)^2
  • output_voltage = Supply Voltage-1/2*MOSFET transconductance parameter*Load Resistance*(Voltage across the oxide-Threshold voltage)^2
  • voltage_across_the_oxide = Threshold voltage+((sqrt(2*MOSFET transconductance parameter*Load Resistance*Supply Voltage+1)-1))/MOSFET transconductance parameter*Load Resistance
  • effective_voltage_or_overdrive_voltage = modulus(Voltage across the oxide)-Threshold voltage
  • voltage_across_collector_emitter = Supply Voltage-Load Resistance*Saturation current*e^(Voltage across the base–emitter junction/Threshold voltage)
  • output_voltage = Supply Voltage-1/2*MOSFET transconductance parameter*Load Resistance*(Voltage across the oxide-Threshold voltage)^2
  • bias_voltage = Voltage across the oxide+Input voltage
Where is the Voltage gain at the bias point calculator used?
Among many, Voltage gain at the bias point calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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