Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output Calculator

✖Common-base current gain α is related to β common-emitter current gain and its value is less than 1 because collector current is always less than emitter current due to recombination of electrons.ⓘ Common-Base Current Gain [α]			+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%
✖Signal Resistance is the resistance which is fed with the signal voltage source vs to an Amplifier.ⓘ Signal Resistance [R_s]			+10% -10%
✖Emitter Resistance is a dynamic resistance of the emitter-base junction diode of a transistor.ⓘ Emitter Resistance [R_e]			+10% -10%

✖Voltage gain is defined as the ratio of the output voltage to the input voltage.ⓘ Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output [A_v]

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Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output Solution

STEP 0: Pre-Calculation Summary

Formula Used

Voltage Gain = Common-Base Current Gain*(1/Collector Resistance+1/Load Resistance)^-1/(Signal Resistance+Emitter Resistance)
A_v = α*(1/R_c+1/R_L)^-1/(R_s+R_e)
This formula uses 6 Variables

Variables Used

Voltage Gain - (Measured in Decibel) - Voltage gain is defined as the ratio of the output voltage to the input voltage.
Common-Base Current Gain - Common-base current gain α is related to β common-emitter current gain and its value is less than 1 because collector current is always less than emitter current due to recombination of electrons.
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.
Signal Resistance - (Measured in Ohm) - Signal Resistance is the resistance which is fed with the signal voltage source vs to an Amplifier.
Emitter Resistance - (Measured in Ohm) - Emitter Resistance is a dynamic resistance of the emitter-base junction diode of a transistor.

STEP 1: Convert Input(s) to Base Unit

Common-Base Current Gain: 0.985 --> No Conversion Required
Collector Resistance: 3.75 Kilohm --> 3750 Ohm (Check conversion here)
Load Resistance: 4 Kilohm --> 4000 Ohm (Check conversion here)
Signal Resistance: 0.24 Kilohm --> 240 Ohm (Check conversion here)
Emitter Resistance: 0.35 Kilohm --> 350 Ohm (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_v = α*(1/R_c+1/R_L)^-1/(R_s+R_e) --> 0.985*(1/3750+1/4000)^-1/(240+350)

Evaluating ... ...

A_v = 3.23127392017496

STEP 3: Convert Result to Output's Unit

3.23127392017496 Decibel --> No Conversion Required

FINAL ANSWER

3.23127392017496 ≈ 3.231274 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 of Amplifier when Load Resistance is Connected to Output Formula

LaTeX Go

Voltage Gain = Common-Base Current Gain*(1/Collector Resistance+1/Load Resistance)^-1/(Signal Resistance+Emitter Resistance)
A_v = α*(1/R_c+1/R_L)^-1/(R_s+R_e)

What is overall gain?

Overall voltage gain, a circuit's overall gain (+dB), or attenuation (-dB) is the sum of the individual gains and attenuations for all stages connected between the input and output.

How to Calculate Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output?

Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output calculator uses Voltage Gain = Common-Base Current Gain*(1/Collector Resistance+1/Load Resistance)^-1/(Signal Resistance+Emitter Resistance) to calculate the Voltage Gain, The Overall voltage gain of amplifier when load resistance is connected to output formula is defined as ratio of equal units (power out / power in, voltage out / voltage in, or current out / current in), gain is naturally unitless measurement. Voltage Gain is denoted by A_v symbol.

How to calculate Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output using this online calculator? To use this online calculator for Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output, enter Common-Base Current Gain (α), Collector Resistance (R_c), Load Resistance (R_L), Signal Resistance (R_s) & Emitter Resistance (R_e) and hit the calculate button. Here is how the Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output calculation can be explained with given input values -> 3.231274 = 0.985*(1/3750+1/4000)^-1/(240+350).

FAQ

What is Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output?

The Overall voltage gain of amplifier when load resistance is connected to output formula is defined as ratio of equal units (power out / power in, voltage out / voltage in, or current out / current in), gain is naturally unitless measurement and is represented as A_v = α*(1/R_c+1/R_L)^-1/(R_s+R_e) or Voltage Gain = Common-Base Current Gain*(1/Collector Resistance+1/Load Resistance)^-1/(Signal Resistance+Emitter Resistance). Common-base current gain α is related to β common-emitter current gain and its value is less than 1 because collector current is always less than emitter current due to recombination of electrons, 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, Signal Resistance is the resistance which is fed with the signal voltage source vs to an Amplifier & Emitter Resistance is a dynamic resistance of the emitter-base junction diode of a transistor.

How to calculate Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output?

The Overall voltage gain of amplifier when load resistance is connected to output formula is defined as ratio of equal units (power out / power in, voltage out / voltage in, or current out / current in), gain is naturally unitless measurement is calculated using Voltage Gain = Common-Base Current Gain*(1/Collector Resistance+1/Load Resistance)^-1/(Signal Resistance+Emitter Resistance). To calculate Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output, you need Common-Base Current Gain (α), Collector Resistance (R_c), Load Resistance (R_L), Signal Resistance (R_s) & Emitter Resistance (R_e). With our tool, you need to enter the respective value for Common-Base Current Gain, Collector Resistance, Load Resistance, Signal Resistance & Emitter 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 Common-Base Current Gain, Collector Resistance, Load Resistance, Signal Resistance & Emitter 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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