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

Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
Payal Priya has created this Calculator and 600+ more calculators!
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Calculator and 2500+ more calculators!

11 Common-Source Amplifier Calculators

Overall Feedback Voltage Gain of Common-Source Amplifier
Go Feedback Voltage Gain = -MOSFET Primary Transconductance*(Input Resistance/(Input Resistance+Signal Resistance))*(1/Drain Resistance+1/Load Resistance+1/Finite Output Resistance)^-1
Output Voltage of Controlled Source Transistor
Go DC Component of Gate to Source Voltage = (Voltage Gain*Electric Current-Short Circuit Transconductance*Differential Output Signal)*(1/Final Resistance+1/Resistance of Primary Winding in Secondary)
Output Resistance at Another Drain of Controlled Source Transistor
Go Drain Resistance = Resistance of Secondary Winding in Primary+2*Finite Resistance+2*Finite Resistance*MOSFET Primary Transconductance*Resistance of Secondary Winding in Primary
Output Resistance of CS Amplifier with Source Resistance
Go Drain Resistance = Finite Output Resistance+Source Resistance+(MOSFET Primary Transconductance*Finite Output Resistance*Source Resistance)
Open-Circuit Voltage Gain of CS Amplifier
Go Open Circuit Voltage Gain = Finite Output Resistance/(Finite Output Resistance+1/MOSFET Primary Transconductance)
Transconductance in Common Source Amplifier
Go MOSFET Primary Transconductance = Unity Gain Frequency*(Gate to Source Capacitance+Capacitance Gate to Drain)
Overall Voltage Gain of Source Follower
Go Overall Voltage Gain = Load Resistance/(Load Resistance+1/MOSFET Primary Transconductance)
Current Gain of Controlled Source Transistor
Go Current Gain = 1/(1+1/(MOSFET Primary Transconductance*Resistance between Drain and Ground))
Emitter Voltage with respect to Voltage Gain
Go Emitter Voltage = Collector Voltage/Voltage Gain
Total Voltage Gain of CS Amplifier
Go Voltage Gain = Load Voltage/Input Voltage
Load Voltage of CS Amplifier
Go Load Voltage = Voltage Gain*Input Voltage

13 Common Stage Amplifiers Gain Calculators

Overall Feedback Voltage Gain of Common-Collector Amplifier
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)
Overall Voltage Gain of Common-Emitter Amplifier
Go Feedback Voltage Gain = -MOSFET Primary Transconductance*(Input Resistance/(Input Resistance+Signal Resistance))*(1/Collector Resistance+1/Load Resistance+1/Finite Output Resistance)^-1
Overall Feedback Voltage Gain of Common-Source Amplifier
Go Feedback Voltage Gain = -MOSFET Primary Transconductance*(Input Resistance/(Input Resistance+Signal Resistance))*(1/Drain Resistance+1/Load Resistance+1/Finite Output Resistance)^-1
Overall Feedback Voltage Gain of Common-Emitter Amplifier
Go Feedback Voltage Gain = -Common Base Current Gain*Collector Resistance/Emitter Resistance*(Input Resistance/(Input Resistance+Signal Resistance))
Total Current Gain with respect to Voltage Gain
Go Common Base Current Gain = Overall Voltage Gain/(Collector Resistance/Emitter Resistance*(Input Resistance/(Input Resistance+Signal Resistance)))
Open-Circuit Voltage Gain of CS Amplifier
Go Open Circuit Voltage Gain = Finite Output Resistance/(Finite Output Resistance+1/MOSFET Primary Transconductance)
Negative Voltage Gain from Base to Collector
Go Negative Voltage Gain = -Common Base Current Gain*(Collector Resistance/Emitter Resistance)
Overall Voltage Gain of Source Follower
Go Overall Voltage Gain = Load Resistance/(Load Resistance+1/MOSFET Primary Transconductance)
Common Base Current Gain
Go Common Base Current Gain = (Voltage Gain*Emitter Resistance/Collector Resistance)
Current Gain of Controlled Source Transistor
Go Current Gain = 1/(1+1/(MOSFET Primary Transconductance*Resistance between Drain and Ground))
Emitter Voltage with respect to Voltage Gain
Go Emitter Voltage = Collector Voltage/Voltage Gain
Voltage Gain of Common-Base Amplifier
Go Voltage Gain = Collector Voltage/Emitter Voltage
Total Voltage Gain of CS Amplifier
Go Voltage Gain = Load Voltage/Input Voltage

Current Gain of Controlled Source Transistor Formula

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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!