Overall Voltage Gain given Load Resistance of BJT 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%
✖Collector Resistance (Rc)helps to set the transistor at the "operating point" of the amplifier. The purpose of the emitter resistor Re is to prevent "thermal runaway".ⓘ Collector Resistance [R_c]			+10% -10%
✖Load Resistance is the external resistance or impedance that is connected to the output of a circuit or device, and it is used to extract power or signal from the circuit.ⓘ Load Resistance [R_L]			+10% -10%

✖Voltage gain is defined as the ratio of the output voltage to the input voltage.ⓘ Overall Voltage Gain given Load Resistance of BJT [A_v]

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Overall Voltage Gain given Load Resistance of BJT Solution

STEP 0: Pre-Calculation Summary

Formula Used

Voltage Gain = -Transconductance*((Collector Resistance*Load Resistance)/(Collector Resistance+Load Resistance))
A_v = -G_m*((R_c*R_L)/(R_c+R_L))
This formula uses 4 Variables

Variables Used

Voltage Gain - (Measured in Decibel) - 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.
Collector Resistance - (Measured in Ohm) - Collector Resistance (Rc)helps to set the transistor at the "operating point" of the amplifier. The purpose of the emitter resistor Re is to prevent "thermal runaway".
Load Resistance - (Measured in Ohm) - Load Resistance is the external resistance or impedance that is connected to the output of a circuit or device, and it is used to extract power or signal from the circuit.

STEP 1: Convert Input(s) to Base Unit

Transconductance: 1.72 Millisiemens --> 0.00172 Siemens (Check conversion here)
Collector Resistance: 3.75 Kilohm --> 3750 Ohm (Check conversion here)
Load Resistance: 4 Kilohm --> 4000 Ohm (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_v = -G_m*((R_c*R_L)/(R_c+R_L)) --> -0.00172*((3750*4000)/(3750+4000))

Evaluating ... ...

A_v = -3.32903225806452

STEP 3: Convert Result to Output's Unit

-3.32903225806452 Decibel --> No Conversion Required

FINAL ANSWER

-3.32903225806452 ≈ -3.329032 Decibel <-- Voltage Gain

(Calculation completed in 00.008 seconds)

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< Amplification Factor or Gain Calculators

Voltage Gain given all Voltages

LaTeX Go Voltage Gain = -(Supply Voltage-Collector-Emitter Voltage)/Thermal Voltage

Voltage Gain given Collector Current

LaTeX Go Voltage Gain = -(Collector Current/Thermal Voltage)*Collector Resistance

Open Circuit Voltage Gain given Open Circuit Transresistance

LaTeX Go Open Circuit Voltage Gain = Open Circuit Transresistance/Input Resistance

Short-Circuit Current Gain

LaTeX Go Current Gain = Output Current/Input Current

Overall Voltage Gain given Load Resistance of BJT Formula

LaTeX Go

Voltage Gain = -Transconductance*((Collector Resistance*Load Resistance)/(Collector Resistance+Load Resistance))
A_v = -G_m*((R_c*R_L)/(R_c+R_L))

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 Overall Voltage Gain given Load Resistance of BJT?

Overall Voltage Gain given Load Resistance of BJT calculator uses Voltage Gain = -Transconductance*((Collector Resistance*Load Resistance)/(Collector Resistance+Load Resistance)) to calculate the Voltage Gain, The Overall Voltage Gain given Load Resistance of BJT is the amount of voltage that an electronic device needs in order to power on and function. Voltage Gain is denoted by A_v symbol.

How to calculate Overall Voltage Gain given Load Resistance of BJT using this online calculator? To use this online calculator for Overall Voltage Gain given Load Resistance of BJT, enter Transconductance (G_m), Collector Resistance (R_c) & Load Resistance (R_L) and hit the calculate button. Here is how the Overall Voltage Gain given Load Resistance of BJT calculation can be explained with given input values -> -3.329032 = -0.00172*((3750*4000)/(3750+4000)).

FAQ

What is Overall Voltage Gain given Load Resistance of BJT?

The Overall Voltage Gain given Load Resistance of BJT is the amount of voltage that an electronic device needs in order to power on and function and is represented as A_v = -G_m*((R_c*R_L)/(R_c+R_L)) or Voltage Gain = -Transconductance*((Collector Resistance*Load Resistance)/(Collector Resistance+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, Collector Resistance (Rc)helps to set the transistor at the "operating point" of the amplifier. The purpose of the emitter resistor Re is to prevent "thermal runaway" & Load Resistance is the external resistance or impedance that is connected to the output of a circuit or device, and it is used to extract power or signal from the circuit.

How to calculate Overall Voltage Gain given Load Resistance of BJT?

The Overall Voltage Gain given Load Resistance of BJT is the amount of voltage that an electronic device needs in order to power on and function is calculated using Voltage Gain = -Transconductance*((Collector Resistance*Load Resistance)/(Collector Resistance+Load Resistance)). To calculate Overall Voltage Gain given Load Resistance of BJT, you need Transconductance (G_m), Collector Resistance (R_c) & Load Resistance (R_L). With our tool, you need to enter the respective value for Transconductance, Collector Resistance & 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, Collector Resistance & Load Resistance. We can use 3 other way(s) to calculate the same, which is/are as follows -

Voltage Gain = -(Collector Current/Thermal Voltage)*Collector Resistance
Voltage Gain = -(Supply Voltage-Collector-Emitter Voltage)/Thermal Voltage
Voltage Gain = -Transconductance*Collector Resistance

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