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)
Av = α*(1/Rc+1/RL)^-1/(Rs+Re)
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
Av = α*(1/Rc+1/RL)^-1/(Rs+Re) --> 0.985*(1/3750+1/4000)^-1/(240+350)
Evaluating ... ...
Av = 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 00.004 seconds)

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16 Amplification Factor/Gain Calculators

Amplification Factor of BJT
Go BJT Amplification Factor = (Collector Current/Threshold Voltage)*((Positive DC Voltage+Collector-Emitter Voltage)/Collector Current)
Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output
Go Voltage Gain = Common-Base Current Gain*(1/Collector Resistance+1/Load Resistance)^-1/(Signal Resistance+Emitter Resistance)
Overall Voltage Gain of Buffer Amplifier given Load Resistance
Go Voltage Gain = Load Resistance/(Load Resistance+Emitter Resistance+Signal Resistance/(Common Emitter Current Gain+1))
Overall Voltage Gain given Load Resistance of BJT
Go Voltage Gain = -Transconductance*((Collector Resistance*Load Resistance)/(Collector Resistance+Load Resistance))
Common Mode Gain of BJT
Go Common Mode Gain = -(Collector Resistance/(2*Output Resistance))*(Change in Collector Resistance/Collector Resistance)
Total Power Dissipated in BJT
Go Power = Collector-Emitter Voltage*Collector Current+Base-Emitter Voltage*Base Current
Voltage Gain given all Voltages
Go Voltage Gain = -(Supply Voltage-Collector-Emitter Voltage)/Thermal Voltage
Voltage Gain given Collector Current
Go Voltage Gain = -(Collector Current/Thermal Voltage)*Collector Resistance
Total Power Supplied in BJT
Go Power = Supply Voltage*(Collector Current+Input Current)
Common-Base Current Gain
Go Common-Base Current Gain = Common Emitter Current Gain/(Common Emitter Current Gain+1)
Common-Emitter Current Gain using Common-Base Current Gain
Go Common Emitter Current Gain = Common-Base Current Gain/(1-Common-Base Current Gain)
Open Circuit Voltage Gain given Open Circuit Transresistance
Go Open Circuit Voltage Gain = Open Circuit Transresistance/Input Resistance
Forced Common-Emitter Current Gain
Go Forced Common-Emitter Current Gain = Collector Current/Base Current
Voltage Gain given Transconductance and Collector Resistance
Go Voltage Gain = -Transconductance*Collector Resistance
Intrinsic Gain of BJT
Go Intrinsic Gain = Early Voltage/Thermal Voltage
Short-Circuit Current Gain
Go Current Gain = Output Current/Input Current

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

Voltage Gain = Common-Base Current Gain*(1/Collector Resistance+1/Load Resistance)^-1/(Signal Resistance+Emitter Resistance)
Av = α*(1/Rc+1/RL)^-1/(Rs+Re)

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 Av 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 (Rc), Load Resistance (RL), Signal Resistance (Rs) & Emitter Resistance (Re) 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 Av = α*(1/Rc+1/RL)^-1/(Rs+Re) 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 (Rc), Load Resistance (RL), Signal Resistance (Rs) & Emitter Resistance (Re). 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 5 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
  • Voltage Gain = -Transconductance*((Collector Resistance*Load Resistance)/(Collector Resistance+Load Resistance))
  • Voltage Gain = Load Resistance/(Load Resistance+Emitter Resistance+Signal Resistance/(Common Emitter Current Gain+1))
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