Mid-Band Gain of CS Amplifier Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mid Band Gain = -(Input Resistance/(Input Resistance+Signal Resistance))*Transconductance*((1/Drain Resistance)+(1/Load Resistance))
Amid = -(Ri/(Ri+Rs))*gm*((1/Rd)+(1/RL))
This formula uses 6 Variables
Variables Used
Mid Band Gain - The Mid band Gain of a transistor is the transistor's gain at its mid frequencies; the mid band gain is where the transistor's gain is at the highest and most constant level in its bandwidth.
Input Resistance - (Measured in Ohm) - Input resistance is the value of internal resistance of source.
Signal Resistance - (Measured in Ohm) - Signal Resistance is the resistance which is fed with the signal voltage source Vs to an Amplifier.
Transconductance - (Measured in Siemens) - Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage.
Drain Resistance - (Measured in Ohm) - Drain resistance is the ratio of change in drain to source voltage to corresponding change in drain current for a constant gate to source voltage.
Load Resistance - (Measured in Ohm) - Load resistance is the resistance value of load given for the network.
STEP 1: Convert Input(s) to Base Unit
Input Resistance: 16 Kilohm --> 16000 Ohm (Check conversion here)
Signal Resistance: 4.7 Kilohm --> 4700 Ohm (Check conversion here)
Transconductance: 0.25 Siemens --> 0.25 Siemens No Conversion Required
Drain Resistance: 0.15 Kilohm --> 150 Ohm (Check conversion here)
Load Resistance: 4.5 Kilohm --> 4500 Ohm (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Amid = -(Ri/(Ri+Rs))*gm*((1/Rd)+(1/RL)) --> -(16000/(16000+4700))*0.25*((1/150)+(1/4500))
Evaluating ... ...
Amid = -0.00133118625872249
STEP 3: Convert Result to Output's Unit
-0.00133118625872249 --> No Conversion Required
FINAL ANSWER
-0.00133118625872249 -0.001331 <-- Mid Band Gain
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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6 Response of CS Amplifier Calculators

Output Voltage of Low Frequency Amplifier
Go Output Voltage = Small Signal Voltage*Mid Band Gain*(Frequency/(Frequency+Pole Frequency 1))*(Frequency/(Frequency+Pole Frequency 2))*(Frequency/(Frequency+Pole Frequency 3))
Mid-Band Gain of CS Amplifier
Go Mid Band Gain = -(Input Resistance/(Input Resistance+Signal Resistance))*Transconductance*((1/Drain Resistance)+(1/Load Resistance))
3 DB Frequency of CS Amplifier without Dominant Poles
Go 3-dB Frequency = sqrt(Pole Frequency 1^2+Frequency of Dominant Pole^2+Pole Frequency 3^2-(2*Frequency^2))
Pole Frequency of CS Amplifier
Go Pole Frequency 1 = 1/(Capacitance of Coupling Capacitor 1*(Input Resistance+Signal Resistance))
Pole Frequency of Bypass Capacitor in CS Amplifier
Go Pole Frequency 1 = (Transconductance+1/Resistance)/Bypass Capacitor
Frequency at Zero Transmission of CS Amplifier
Go Frequency = Transconductance/(2*pi*Capacitance Gate to Drain)

Mid-Band Gain of CS Amplifier Formula

Mid Band Gain = -(Input Resistance/(Input Resistance+Signal Resistance))*Transconductance*((1/Drain Resistance)+(1/Load Resistance))
Amid = -(Ri/(Ri+Rs))*gm*((1/Rd)+(1/RL))

What is CS amplifier?

In electronics, a common-source amplifier is one of three basic single-stage field-effect transistor (FET) amplifier topologies, typically used as a voltage or transconductance amplifier. The easiest way to tell if a FET is a common source, common drain, or common gate is to examine where the signal enters and leaves.

How to Calculate Mid-Band Gain of CS Amplifier?

Mid-Band Gain of CS Amplifier calculator uses Mid Band Gain = -(Input Resistance/(Input Resistance+Signal Resistance))*Transconductance*((1/Drain Resistance)+(1/Load Resistance)) to calculate the Mid Band Gain, The Mid-band gain of CS amplifier formula is defined as the transistor's gain at its mid frequencies; the mid-band gain is where the transistor's gain is at the highest and most constant level in its bandwidth. Mid Band Gain is denoted by Amid symbol.

How to calculate Mid-Band Gain of CS Amplifier using this online calculator? To use this online calculator for Mid-Band Gain of CS Amplifier, enter Input Resistance (Ri), Signal Resistance (Rs), Transconductance (gm), Drain Resistance (Rd) & Load Resistance (RL) and hit the calculate button. Here is how the Mid-Band Gain of CS Amplifier calculation can be explained with given input values -> -0.001331 = -(16000/(16000+4700))*0.25*((1/150)+(1/4500)).

FAQ

What is Mid-Band Gain of CS Amplifier?
The Mid-band gain of CS amplifier formula is defined as the transistor's gain at its mid frequencies; the mid-band gain is where the transistor's gain is at the highest and most constant level in its bandwidth and is represented as Amid = -(Ri/(Ri+Rs))*gm*((1/Rd)+(1/RL)) or Mid Band Gain = -(Input Resistance/(Input Resistance+Signal Resistance))*Transconductance*((1/Drain Resistance)+(1/Load Resistance)). Input resistance is the value of internal resistance of source, Signal Resistance is the resistance which is fed with the signal voltage source Vs to an Amplifier, Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage, Drain resistance is the ratio of change in drain to source voltage to corresponding change in drain current for a constant gate to source voltage & Load resistance is the resistance value of load given for the network.
How to calculate Mid-Band Gain of CS Amplifier?
The Mid-band gain of CS amplifier formula is defined as the transistor's gain at its mid frequencies; the mid-band gain is where the transistor's gain is at the highest and most constant level in its bandwidth is calculated using Mid Band Gain = -(Input Resistance/(Input Resistance+Signal Resistance))*Transconductance*((1/Drain Resistance)+(1/Load Resistance)). To calculate Mid-Band Gain of CS Amplifier, you need Input Resistance (Ri), Signal Resistance (Rs), Transconductance (gm), Drain Resistance (Rd) & Load Resistance (RL). With our tool, you need to enter the respective value for Input Resistance, Signal Resistance, Transconductance, Drain Resistance & Load Resistance 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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