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Mid-Band Gain of CS Amplifier Formula

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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. Check FAQs

A mid = - (\frac{R i}{R i + R s}) \cdot g m \cdot ((\frac{1}{R d}) + (\frac{1}{R L}))

A_mid - Mid Band Gain?R_i - Input Resistance?R_s - Signal Resistance?g_m - Transconductance?R_d - Drain Resistance?R_L - Load Resistance?

Mid-Band Gain of CS Amplifier Example

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Here is how the Mid-Band Gain of CS Amplifier equation looks like with Values.

Here is how the Mid-Band Gain of CS Amplifier equation looks like with Units.

Here is how the Mid-Band Gain of CS Amplifier equation looks like.

-0.0013 = - (\frac{16}{16 + 4.7}) \cdot 0.25 \cdot ((\frac{1}{0.15}) + (\frac{1}{4.5}))

-0.0013 = - (\frac{16kΩ}{16kΩ + 4.7kΩ}) \cdot 0.25S \cdot ((\frac{1}{0.15kΩ}) + (\frac{1}{4.5kΩ}))

-0.0013 = - (\frac{16}{16 + 4.7}) \cdot 0.25 \cdot ((\frac{1}{0.15}) + (\frac{1}{4.5}))

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Mid-Band Gain of CS Amplifier Solution

Follow our step by step solution on how to calculate Mid-Band Gain of CS Amplifier?

FIRST Step Consider the formula

A mid = - (\frac{R i}{R i + R s}) \cdot g m \cdot ((\frac{1}{R d}) + (\frac{1}{R L}))

Next Step Substitute values of Variables

∴

A mid = - (\frac{16kΩ}{16kΩ + 4.7kΩ}) \cdot 0.25S \cdot ((\frac{1}{0.15kΩ}) + (\frac{1}{4.5kΩ}))

Next Step Convert Units

∴

A mid = - (\frac{16000Ω}{16000Ω + 4700Ω}) \cdot 0.25S \cdot ((\frac{1}{150Ω}) + (\frac{1}{4500Ω}))

Next Step Prepare to Evaluate

∴

A mid = - (\frac{16000}{16000 + 4700}) \cdot 0.25 \cdot ((\frac{1}{150}) + (\frac{1}{4500}))

Next Step Evaluate

∴

A mid = -0.00133118625872249

LAST Step Rounding Answer

∴

A mid = -0.0013

Mid-Band Gain of CS Amplifier Formula Elements

Variables

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.

Symbol: A_mid

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Mid Band Gain

Input Resistance

Input resistance is the value of internal resistance of source.

Symbol: R_i

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Input Resistance

Signal Resistance

Signal Resistance is the resistance which is fed with the signal voltage source V_s to an Amplifier.

Symbol: R_s

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Signal Resistance

Transconductance

Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage.

Symbol: g_m

Measurement: Electric ConductanceUnit: S

Note: Value can be positive or negative.

Formulas to find Transconductance

Drain Resistance

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.

Symbol: R_d

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Drain Resistance

Load Resistance

Load resistance is the resistance value of load given for the network.

Symbol: R_L

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Load Resistance

Other formulas in Response of CS Amplifier category

Go Pole Frequency of CS Amplifier

ω p1 = \frac{1}{C C1 \cdot (R i + R s)}

Go Pole Frequency of Bypass Capacitor in CS Amplifier

ω p1 = \frac{g m + \frac{1}{R}}{C s}

Go Output Voltage of Low Frequency Amplifier

V o = V \cdot A mid \cdot (\frac{f}{f + ω p1}) \cdot (\frac{f}{f + ω p2}) \cdot (\frac{f}{f + ω p3})

Go 3 DB Frequency of CS Amplifier without Dominant Poles

f L = \sqrt{{ω p1}^{2} + {f P}^{2} + {ω p3}^{2} - (2 \cdot f^{2})}

How to Evaluate Mid-Band Gain of CS Amplifier?

Mid-Band Gain of CS Amplifier evaluator uses Mid Band Gain = -(Input Resistance/(Input Resistance+Signal Resistance))*Transconductance*((1/Drain Resistance)+(1/Load Resistance)) to evaluate 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 evaluate Mid-Band Gain of CS Amplifier using this online evaluator? To use this online evaluator 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.

FAQs on Mid-Band Gain of CS Amplifier

What is the formula to find Mid-Band Gain of CS Amplifier?

The formula of Mid-Band Gain of CS Amplifier is expressed as Mid Band Gain = -(Input Resistance/(Input Resistance+Signal Resistance))*Transconductance*((1/Drain Resistance)+(1/Load Resistance)). Here is an example- -0.001331 = -(16000/(16000+4700))*0.25*((1/150)+(1/4500)).

How to calculate Mid-Band Gain of CS Amplifier?

With Input Resistance (R_i), Signal Resistance (R_s), Transconductance (g_m), Drain Resistance (R_d) & Load Resistance (R_L) we can find Mid-Band Gain of CS Amplifier using the formula - Mid Band Gain = -(Input Resistance/(Input Resistance+Signal Resistance))*Transconductance*((1/Drain Resistance)+(1/Load Resistance)).

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Mid-Band Gain of CS Amplifier Formula

Mid-Band Gain of CS Amplifier Example

Mid-Band Gain of CS Amplifier Solution

Mid-Band Gain of CS Amplifier Formula Elements

Other formulas in Response of CS Amplifier category

How to Evaluate Mid-Band Gain of CS Amplifier?

FAQs on Mid-Band Gain of CS Amplifier

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