Mid-Band Gain of CS Amplifier Calculator

✖Input resistance is the value of internal resistance of source.ⓘ Input Resistance [R_i]			+10% -10%
✖Signal Resistance is the resistance which is fed with the signal voltage source V_s to an Amplifier.ⓘ Signal Resistance [R_s]			+10% -10%
✖Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage.ⓘ Transconductance [g_m]			+10% -10%
✖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.ⓘ Drain Resistance [R_d]			+10% -10%
✖Load resistance is the resistance value of load given for the network.ⓘ Load Resistance [R_L]			+10% -10%

✖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.ⓘ Mid-Band Gain of CS Amplifier [A_mid]

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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))
A_mid = -(R_i/(R_i+R_s))*g_m*((1/R_d)+(1/R_L))
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 V_s 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

A_mid = -(R_i/(R_i+R_s))*g_m*((1/R_d)+(1/R_L)) --> -(16000/(16000+4700))*0.25*((1/150)+(1/4500))

Evaluating ... ...

A_mid = -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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Home » Engineering » Electronics » Amplifiers » Low Frequency Response Amplifiers » Response of CS Amplifier » Mid-Band Gain of CS Amplifier

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< Response of CS Amplifier Calculators

Output Voltage of Low Frequency Amplifier

LaTeX 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

LaTeX Go Mid Band Gain = -(Input Resistance/(Input Resistance+Signal Resistance))*Transconductance*((1/Drain Resistance)+(1/Load Resistance))

Pole Frequency of CS Amplifier

LaTeX Go Pole Frequency 1 = 1/(Capacitance of Coupling Capacitor 1*(Input Resistance+Signal Resistance))

Pole Frequency of Bypass Capacitor in CS Amplifier

LaTeX Go Pole Frequency 1 = (Transconductance+1/Resistance)/Bypass Capacitor

Mid-Band Gain of CS Amplifier Formula

LaTeX Go

Mid Band Gain = -(Input Resistance/(Input Resistance+Signal Resistance))*Transconductance*((1/Drain Resistance)+(1/Load Resistance))
A_mid = -(R_i/(R_i+R_s))*g_m*((1/R_d)+(1/R_L))

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 A_mid 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 (R_i), Signal Resistance (R_s), Transconductance (g_m), Drain Resistance (R_d) & Load Resistance (R_L) 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 A_mid = -(R_i/(R_i+R_s))*g_m*((1/R_d)+(1/R_L)) 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 V_s 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 (R_i), Signal Resistance (R_s), Transconductance (g_m), Drain Resistance (R_d) & Load Resistance (R_L). 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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