Voltage Gain given Load Resistance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Voltage Gain = Common Base Current Gain*((1/(1/Load Resistance+1/Collector Resistance))/Emitter Resistance)
Gv = α*((1/(1/RL+1/Rc))/Re)
This formula uses 5 Variables
Variables Used
Voltage Gain - 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 of a transistor and used for calculations.
Load Resistance - (Measured in Ohm) - Load resistance is the resistance value of load given for the network.
Collector Resistance - (Measured in Ohm) - Collector Resistance is the opposition offered to the current passing through the collector.
Emitter Resistance - (Measured in Ohm) - Emitter Resistance is the total opposition caused in the flow of current in the emitter.
STEP 1: Convert Input(s) to Base Unit
Common Base Current Gain: 0.99 --> No Conversion Required
Load Resistance: 4.5 Kilohm --> 4500 Ohm (Check conversion here)
Collector Resistance: 12.209 Kilohm --> 12209 Ohm (Check conversion here)
Emitter Resistance: 2.292 Kilohm --> 2292 Ohm (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Gv = α*((1/(1/RL+1/Rc))/Re) --> 0.99*((1/(1/4500+1/12209))/2292)
Evaluating ... ...
Gv = 1.42024323662922
STEP 3: Convert Result to Output's Unit
1.42024323662922 --> No Conversion Required
FINAL ANSWER
1.42024323662922 1.420243 <-- Voltage Gain
(Calculation completed in 00.004 seconds)

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21 Amplifier Characteristics Calculators

Base Junction Width of Amplifier
Go Base Junction Width = (Base Emitter Area*[Charge-e]*Electron Diffusivity*Thermal Equilibrium Concentration)/Saturation Current
Saturation Current
Go Saturation Current = (Base Emitter Area*[Charge-e]*Electron Diffusivity*Thermal Equilibrium Concentration)/Base Junction Width
Differential Voltage in Amplifier
Go Differential Input Signal = Output Voltage/((Resistance 4/Resistance 3)*(1+(Resistance 2)/Resistance 1))
Output Voltage for Instrumentation Amplifier
Go Output Voltage = (Resistance 4/Resistance 3)*(1+(Resistance 2)/Resistance 1)*Differential Input Signal
Voltage Gain given Load Resistance
Go Voltage Gain = Common Base Current Gain*((1/(1/Load Resistance+1/Collector Resistance))/Emitter Resistance)
Load Power of Amplifier
Go Load Power = (Positive DC Voltage*Positive DC Current)+(Negative DC Voltage*Negative DC Current)
Signal Voltage of Amplifier
Go Signal Voltage = Input Voltage*((Input Resistance+Signal Resistance)/Input Resistance)
Input Voltage of Amplifier
Go Input Voltage = (Input Resistance/(Input Resistance+Signal Resistance))*Signal Voltage
Differential Gain of Instrumentation Amplifier
Go Differential Mode Gain = (Resistance 4/Resistance 3)*(1+(Resistance 2)/Resistance 1)
Load Resistance with respect to Transconductance
Go Load Resistance = -(Output Voltage Gain*(1/Transconductance+Series Resistor))
Output Voltage Gain given Transconductance
Go Output Voltage Gain = -(Load Resistance/(1/Transconductance+Series Resistor))
Open-Circuit Transresistance
Go Open Circuit Transresistance = Output Voltage/Input Current
Amplifier Power Efficiency
Go Power Efficiency Percentage = 100*(Load Power/Input Power)
Current Gain of Amplifier in Decibels
Go Current Gain in Decibels = 20*(log10(Current Gain) )
Output Voltage of Amplifier
Go Output Voltage = Voltage Gain*Input Voltage
Current Gain of Amplifier
Go Current Gain = Output Current/Input Current
Voltage Gain of Amplifier
Go Voltage Gain = Output Voltage/Input Voltage
Input Voltage at Maximum Power Dissipation
Go Input Voltage = (Peak Voltage*pi)/2
Peak Voltage at Maximum Power Dissipation
Go Peak Voltage = (2*Input Voltage)/pi
Power Gain of Amplifier
Go Power Gain = Load Power/Input Power
Open Circuit Time Constant of Amplifier
Go Open Circuit Time Constant = 1/Pole Frequency

Voltage Gain given Load Resistance Formula

Voltage Gain = Common Base Current Gain*((1/(1/Load Resistance+1/Collector Resistance))/Emitter Resistance)
Gv = α*((1/(1/RL+1/Rc))/Re)

What is Voltage Gain?

Voltage gain is 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 given Load Resistance?

Voltage Gain given Load Resistance calculator uses Voltage Gain = Common Base Current Gain*((1/(1/Load Resistance+1/Collector Resistance))/Emitter Resistance) to calculate the Voltage Gain, The Voltage Gain given Load Resistance formula is defined as the amount of voltage that an electronic device needs in order to power on and function. Voltage Gain is denoted by Gv symbol.

How to calculate Voltage Gain given Load Resistance using this online calculator? To use this online calculator for Voltage Gain given Load Resistance, enter Common Base Current Gain (α), Load Resistance (RL), Collector Resistance (Rc) & Emitter Resistance (Re) and hit the calculate button. Here is how the Voltage Gain given Load Resistance calculation can be explained with given input values -> 1.420243 = 0.99*((1/(1/4500+1/12209))/2292).

FAQ

What is Voltage Gain given Load Resistance?
The Voltage Gain given Load Resistance formula is defined as the amount of voltage that an electronic device needs in order to power on and function and is represented as Gv = α*((1/(1/RL+1/Rc))/Re) or Voltage Gain = Common Base Current Gain*((1/(1/Load Resistance+1/Collector Resistance))/Emitter Resistance). Common Base Current Gain α is related to β common-emitter current gain of a transistor and used for calculations, Load resistance is the resistance value of load given for the network, Collector Resistance is the opposition offered to the current passing through the collector & Emitter Resistance is the total opposition caused in the flow of current in the emitter.
How to calculate Voltage Gain given Load Resistance?
The Voltage Gain given Load Resistance formula is defined as the amount of voltage that an electronic device needs in order to power on and function is calculated using Voltage Gain = Common Base Current Gain*((1/(1/Load Resistance+1/Collector Resistance))/Emitter Resistance). To calculate Voltage Gain given Load Resistance, you need Common Base Current Gain (α), Load Resistance (RL), Collector Resistance (Rc) & Emitter Resistance (Re). With our tool, you need to enter the respective value for Common Base Current Gain, Load Resistance, Collector 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, Load Resistance, Collector Resistance & Emitter Resistance. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Voltage Gain = Output Voltage/Input Voltage
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