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Overall voltage gain when load resistance is connected at the amplifier Solution

STEP 0: Pre-Calculation Summary
Formula Used
overall_voltage_gain = -Common emitter current gain*(1/Total resistance in collector+1/Load resistance)/(Signal Resistance+(Common emitter current gain+1)*Total resistance in the emitter)
Gv = -β*(1/R+1/Rl)/(Rs+(β+1)*R)
This formula uses 5 Variables
Variables Used
Common emitter current gain- Common emitter current gain is highly influenced by two factors: the width of the base region, W, and the relative dopings of the base region and the emitter region.
Total resistance in collector - The total resistance in collector is the opposition offered to the current passing through the collector. (Measured in Ohm)
Load resistance - Load resistance is the resistance value of load given for the network (Measured in Kilohm)
Signal Resistance- Signal Resistance is the resistance which is fed with the signal voltage source vs to an Amplifier
Total resistance in the emitter - The total resistance in the emitter is the total opposition caused in the flow of current in the emitter (Measured in Ohm)
STEP 1: Convert Input(s) to Base Unit
Common emitter current gain: 55 --> No Conversion Required
Total resistance in collector: 20 Ohm --> 20 Ohm No Conversion Required
Load resistance: 1 Kilohm --> 1000 Ohm (Check conversion here)
Signal Resistance: 1 --> No Conversion Required
Total resistance in the emitter: 40 Ohm --> 40 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Gv = -β*(1/R+1/Rl)/(Rs+(β+1)*R) --> -55*(1/20+1/1000)/(1+(55+1)*40)
Evaluating ... ...
Gv = -0.0012516733601071
STEP 3: Convert Result to Output's Unit
-0.0012516733601071 --> No Conversion Required
FINAL ANSWER
-0.0012516733601071 <-- Overall voltage gain
(Calculation completed in 00.016 seconds)

10+ Basic Configurations Calculators

Overall voltage gain in terms of resistance
overall_voltage_gain = (Input resistance/(Input resistance+Signal Resistance))*voltage gain*(Load resistance/(Load resistance+Output resistance)) Go
Voltage gain in terms of load resistance of the transistor amplifier
voltage_gain = -(Load resistance of MOSFET+1/Load Resistance)/(1/MOSFET Transconductance+Series resistor) Go
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
Overall voltage gain
overall_voltage_gain = Output voltage/Signal Output Go
Overall voltage gain in terms of the signal source
overall_voltage_gain = Output voltage/input signal Go
Input resistance of the transistor amplifier
resistance = Amplifier input/input current Go

Overall voltage gain when load resistance is connected at the amplifier Formula

overall_voltage_gain = -Common emitter current gain*(1/Total resistance in collector+1/Load resistance)/(Signal Resistance+(Common emitter current gain+1)*Total resistance in the emitter)
Gv = -β*(1/R+1/Rl)/(Rs+(β+1)*R)

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 when load resistance is connected at the amplifier?

Overall voltage gain when load resistance is connected at the amplifier calculator uses overall_voltage_gain = -Common emitter current gain*(1/Total resistance in collector+1/Load resistance)/(Signal Resistance+(Common emitter current gain+1)*Total resistance in the emitter) to calculate the Overall voltage gain, The Overall voltage gain when load resistance is connected at the amplifier formula is defined as a ratio of equal units (power out / power in, voltage out / voltage in, or current out / current in), the gain is naturally a unitless measurement. Mathematically, the gain is symbolized by the capital letter “A”. Overall voltage gain and is denoted by Gv symbol.

How to calculate Overall voltage gain when load resistance is connected at the amplifier using this online calculator? To use this online calculator for Overall voltage gain when load resistance is connected at the amplifier, enter Common emitter current gain (β), Total resistance in collector (R), Load resistance (Rl), Signal Resistance (Rs) and Total resistance in the emitter (R) and hit the calculate button. Here is how the Overall voltage gain when load resistance is connected at the amplifier calculation can be explained with given input values -> -0.001252 = -55*(1/20+1/1000)/(1+(55+1)*40).

FAQ

What is Overall voltage gain when load resistance is connected at the amplifier?
The Overall voltage gain when load resistance is connected at the amplifier formula is defined as a ratio of equal units (power out / power in, voltage out / voltage in, or current out / current in), the gain is naturally a unitless measurement. Mathematically, the gain is symbolized by the capital letter “A” and is represented as Gv = -β*(1/R+1/Rl)/(Rs+(β+1)*R) or overall_voltage_gain = -Common emitter current gain*(1/Total resistance in collector+1/Load resistance)/(Signal Resistance+(Common emitter current gain+1)*Total resistance in the emitter). Common emitter current gain is highly influenced by two factors: the width of the base region, W, and the relative dopings of the base region and the emitter region, The total resistance in collector is the opposition offered to the current passing through the collector, Load resistance is the resistance value of load given for the network, Signal Resistance is the resistance which is fed with the signal voltage source vs to an Amplifier and The total resistance in the emitter is the total opposition caused in the flow of current in the emitter.
How to calculate Overall voltage gain when load resistance is connected at the amplifier?
The Overall voltage gain when load resistance is connected at the amplifier formula is defined as a ratio of equal units (power out / power in, voltage out / voltage in, or current out / current in), the gain is naturally a unitless measurement. Mathematically, the gain is symbolized by the capital letter “A” is calculated using overall_voltage_gain = -Common emitter current gain*(1/Total resistance in collector+1/Load resistance)/(Signal Resistance+(Common emitter current gain+1)*Total resistance in the emitter). To calculate Overall voltage gain when load resistance is connected at the amplifier, you need Common emitter current gain (β), Total resistance in collector (R), Load resistance (Rl), Signal Resistance (Rs) and Total resistance in the emitter (R). With our tool, you need to enter the respective value for Common emitter current gain, Total resistance in collector, Load resistance, Signal Resistance and Total resistance in the emitter 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 Overall voltage gain?
In this formula, Overall voltage gain uses Common emitter current gain, Total resistance in collector, Load resistance, Signal Resistance and Total resistance in the emitter. 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 Overall voltage gain when load resistance is connected at the amplifier calculator used?
Among many, Overall voltage gain when load resistance is connected at the amplifier calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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