Current Gain of Controlled Source Transistor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Current Gain = 1/(1+1/(MOSFET Primary Transconductance*Resistance between Drain and Ground))
Ai = 1/(1+1/(gmp*Rdg))
This formula uses 3 Variables
Variables Used
Current Gain - Current Gain is the ratio of output current to the input current of an amplifier is defined as current gain.
MOSFET Primary Transconductance - (Measured in Siemens) - MOSFET Primary Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage.
Resistance between Drain and Ground - (Measured in Ohm) - Resistance between Drain and Ground is the resistance that is from drain terminal of first transistor and ground .
STEP 1: Convert Input(s) to Base Unit
MOSFET Primary Transconductance: 19.77 Millisiemens --> 0.01977 Siemens (Check conversion ​here)
Resistance between Drain and Ground: 0.24 Kilohm --> 240 Ohm (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ai = 1/(1+1/(gmp*Rdg)) --> 1/(1+1/(0.01977*240))
Evaluating ... ...
Ai = 0.825929536276285
STEP 3: Convert Result to Output's Unit
0.825929536276285 --> No Conversion Required
FINAL ANSWER
0.825929536276285 0.82593 <-- Current Gain
(Calculation completed in 00.004 seconds)

Credits

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Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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National Institute Of Technology (NIT), Hamirpur
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Common Source Amplifier Calculators

Overall Feedback Voltage Gain of Common-Source Amplifier
​ LaTeX ​ Go Feedback Voltage Gain = -MOSFET Primary Transconductance*(Input Resistance/(Input Resistance+Signal Resistance))*(1/Drain Resistance+1/Load Resistance+1/Finite Output Resistance)^-1
Open-Circuit Voltage Gain of CS Amplifier
​ LaTeX ​ Go Open Circuit Voltage Gain = Finite Output Resistance/(Finite Output Resistance+1/MOSFET Primary Transconductance)
Current Gain of Controlled Source Transistor
​ LaTeX ​ Go Current Gain = 1/(1+1/(MOSFET Primary Transconductance*Resistance between Drain and Ground))
Total Voltage Gain of CS Amplifier
​ LaTeX ​ Go Voltage Gain = Load Voltage/Input 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

Current Gain of Controlled Source Transistor Formula

​LaTeX ​Go
Current Gain = 1/(1+1/(MOSFET Primary Transconductance*Resistance between Drain and Ground))
Ai = 1/(1+1/(gmp*Rdg))

What is current controlled current source?

An ideal dependent current-controlled current source, CCCS, maintains an output current that is proportional to a controlling input current. Then the output current “depends” on the value of the input current, again making it a dependent current source.

How to Calculate Current Gain of Controlled Source Transistor?

Current Gain of Controlled Source Transistor calculator uses Current Gain = 1/(1+1/(MOSFET Primary Transconductance*Resistance between Drain and Ground)) to calculate the Current Gain, current gain of controlled source transistor formula is defined as change in collector current divided by change in emitter current when base-to-collector voltage is constant. typical common-base current gain in well-designed bipolar transistor is very close to unity. Current Gain is denoted by Ai symbol.

How to calculate Current Gain of Controlled Source Transistor using this online calculator? To use this online calculator for Current Gain of Controlled Source Transistor, enter MOSFET Primary Transconductance (gmp) & Resistance between Drain and Ground (Rdg) and hit the calculate button. Here is how the Current Gain of Controlled Source Transistor calculation can be explained with given input values -> 0.82593 = 1/(1+1/(0.01977*240)).

FAQ

What is Current Gain of Controlled Source Transistor?
current gain of controlled source transistor formula is defined as change in collector current divided by change in emitter current when base-to-collector voltage is constant. typical common-base current gain in well-designed bipolar transistor is very close to unity and is represented as Ai = 1/(1+1/(gmp*Rdg)) or Current Gain = 1/(1+1/(MOSFET Primary Transconductance*Resistance between Drain and Ground)). MOSFET Primary Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage & Resistance between Drain and Ground is the resistance that is from drain terminal of first transistor and ground .
How to calculate Current Gain of Controlled Source Transistor?
current gain of controlled source transistor formula is defined as change in collector current divided by change in emitter current when base-to-collector voltage is constant. typical common-base current gain in well-designed bipolar transistor is very close to unity is calculated using Current Gain = 1/(1+1/(MOSFET Primary Transconductance*Resistance between Drain and Ground)). To calculate Current Gain of Controlled Source Transistor, you need MOSFET Primary Transconductance (gmp) & Resistance between Drain and Ground (Rdg). With our tool, you need to enter the respective value for MOSFET Primary Transconductance & Resistance between Drain and Ground and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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