Total Current Gain with respect to Voltage Gain Solution

STEP 0: Pre-Calculation Summary
Formula Used
Common Base Current Gain = Overall Voltage Gain/(Collector Resistance/Emitter Resistance*(Input Resistance/(Input Resistance+Signal Resistance)))
α = Gv/(Rc/Re*(Rin/(Rin+Rsig)))
This formula uses 6 Variables
Variables Used
Common Base Current Gain - Common Base Current Gain α is related to β common-emitter current gain of a transistor and used for calculations.
Overall Voltage Gain - Overall voltage gain is a ratio of equal units (power out / power in, voltage out / voltage in, or current out / current in).
Collector Resistance - (Measured in Ohm) - The Collector Resistancer is the opposition offered to the current passing through the collector.
Emitter Resistance - (Measured in Ohm) - Emitter Resistance is a dynamic resistance of the emitter-base junction diode of a transistor.
Input Resistance - (Measured in Ohm) - Input resistance 2 is the opposition that an electrical component or circuit presents to the flow of electrical current when a voltage is applied to it.
Signal Resistance - (Measured in Ohm) - Signal resistance is the resistance which is fed with the signal voltage source of an Amplifier.
STEP 1: Convert Input(s) to Base Unit
Overall Voltage Gain: 0.86 --> No Conversion Required
Collector Resistance: 1.01 Kilohm --> 1010 Ohm (Check conversion ​here)
Emitter Resistance: 0.067 Kilohm --> 67 Ohm (Check conversion ​here)
Input Resistance: 0.301 Kilohm --> 301 Ohm (Check conversion ​here)
Signal Resistance: 1.12 Kilohm --> 1120 Ohm (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
α = Gv/(Rc/Re*(Rin/(Rin+Rsig))) --> 0.86/(1010/67*(301/(301+1120)))
Evaluating ... ...
α = 0.269326732673267
STEP 3: Convert Result to Output's Unit
0.269326732673267 --> No Conversion Required
FINAL ANSWER
0.269326732673267 0.269327 <-- Common Base Current Gain
(Calculation completed in 00.020 seconds)

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Birsa Institute of Technology (BIT), Sindri
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Common Base Amplifier Calculators

Negative Voltage Gain from Base to Collector
​ LaTeX ​ Go Negative Voltage Gain = -Common Base Current Gain*(Collector Resistance/Emitter Resistance)
Common Base Current Gain
​ LaTeX ​ Go Common Base Current Gain = (Voltage Gain*Emitter Resistance/Collector Resistance)
Emitter Current of Common-Base Amplifier
​ LaTeX ​ Go Emitter Current = Input Voltage/Emitter Resistance
Voltage Gain of Common-Base Amplifier
​ LaTeX ​ Go Voltage Gain = Collector Voltage/Emitter Voltage

Common Stage Amplifiers Gain Calculators

Overall Feedback Voltage Gain of Common-Collector Amplifier
​ LaTeX ​ Go Overall Voltage Gain = ((Collector Base Current Gain+1)*Load Resistance)/((Collector Base Current Gain+1)*Load Resistance+(Collector Base Current Gain+1)*Emitter Resistance+Signal Resistance)
Negative Voltage Gain from Base to Collector
​ LaTeX ​ Go Negative Voltage Gain = -Common Base Current Gain*(Collector Resistance/Emitter Resistance)
Common Base Current Gain
​ LaTeX ​ Go Common Base Current Gain = (Voltage Gain*Emitter Resistance/Collector Resistance)
Voltage Gain of Common-Base Amplifier
​ LaTeX ​ Go Voltage Gain = Collector Voltage/Emitter Voltage

Total Current Gain with respect to Voltage Gain Formula

​LaTeX ​Go
Common Base Current Gain = Overall Voltage Gain/(Collector Resistance/Emitter Resistance*(Input Resistance/(Input Resistance+Signal Resistance)))
α = Gv/(Rc/Re*(Rin/(Rin+Rsig)))

What are the applications of transistors?

Transistors are used in our day-to-day lives in many forms, which we are aware of as amplifiers and switching apparatuses. As amplifiers, they are being used in various oscillators, modulators, detectors and nearly any circuit to perform a function. In a digital circuit, transistors are used as switches.

How to Calculate Total Current Gain with respect to Voltage Gain?

Total Current Gain with respect to Voltage Gain calculator uses Common Base Current Gain = Overall Voltage Gain/(Collector Resistance/Emitter Resistance*(Input Resistance/(Input Resistance+Signal Resistance))) to calculate the Common Base Current Gain, Total Current Gain with respect to Voltage Gain is a measure of the overall current gain of an amplifier circuit, taking into account all the components and their interactions. It is defined as the ratio of the output current to the input current. Common Base Current Gain is denoted by α symbol.

How to calculate Total Current Gain with respect to Voltage Gain using this online calculator? To use this online calculator for Total Current Gain with respect to Voltage Gain, enter Overall Voltage Gain (Gv), Collector Resistance (Rc), Emitter Resistance (Re), Input Resistance (Rin) & Signal Resistance (Rsig) and hit the calculate button. Here is how the Total Current Gain with respect to Voltage Gain calculation can be explained with given input values -> 0.269327 = 0.86/(1010/67*(301/(301+1120))).

FAQ

What is Total Current Gain with respect to Voltage Gain?
Total Current Gain with respect to Voltage Gain is a measure of the overall current gain of an amplifier circuit, taking into account all the components and their interactions. It is defined as the ratio of the output current to the input current and is represented as α = Gv/(Rc/Re*(Rin/(Rin+Rsig))) or Common Base Current Gain = Overall Voltage Gain/(Collector Resistance/Emitter Resistance*(Input Resistance/(Input Resistance+Signal Resistance))). Overall voltage gain is a ratio of equal units (power out / power in, voltage out / voltage in, or current out / current in), The Collector Resistancer is the opposition offered to the current passing through the collector, Emitter Resistance is a dynamic resistance of the emitter-base junction diode of a transistor, Input resistance 2 is the opposition that an electrical component or circuit presents to the flow of electrical current when a voltage is applied to it & Signal resistance is the resistance which is fed with the signal voltage source of an Amplifier.
How to calculate Total Current Gain with respect to Voltage Gain?
Total Current Gain with respect to Voltage Gain is a measure of the overall current gain of an amplifier circuit, taking into account all the components and their interactions. It is defined as the ratio of the output current to the input current is calculated using Common Base Current Gain = Overall Voltage Gain/(Collector Resistance/Emitter Resistance*(Input Resistance/(Input Resistance+Signal Resistance))). To calculate Total Current Gain with respect to Voltage Gain, you need Overall Voltage Gain (Gv), Collector Resistance (Rc), Emitter Resistance (Re), Input Resistance (Rin) & Signal Resistance (Rsig). With our tool, you need to enter the respective value for Overall Voltage Gain, Collector Resistance, Emitter Resistance, Input Resistance & Signal 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 Common Base Current Gain?
In this formula, Common Base Current Gain uses Overall Voltage Gain, Collector Resistance, Emitter Resistance, Input Resistance & Signal Resistance. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Common Base Current Gain = (Voltage Gain*Emitter Resistance/Collector Resistance)
  • Common Base Current Gain = (Voltage Gain*Emitter Resistance/Collector Resistance)
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