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Low-Frequency Voltage Gain of CS Amplifier Formula

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Low-frequency gain of the voltage amplifier is calculated at frequencies whose values are less than those frequencies where the gain is close to its maximum value. Check FAQs

G f = - g ms \cdot (\frac{1}{R out} + \frac{1}{R L})

G_f - Low-Frequency Gain?g_ms - Short Circuit Transconductance?R_out - Output Resistance?R_L - Load Resistance?

Low-Frequency Voltage Gain of CS Amplifier Example

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Here is how the Low-Frequency Voltage Gain of CS Amplifier equation looks like with Values.

Here is how the Low-Frequency Voltage Gain of CS Amplifier equation looks like with Units.

Here is how the Low-Frequency Voltage Gain of CS Amplifier equation looks like.

-2.7E-6 = - 2.03 \cdot (\frac{1}{1.508} + \frac{1}{1.49})

-2.7E-6 = - 2.03mS \cdot (\frac{1}{1.508kΩ} + \frac{1}{1.49kΩ})

-2.7E-6 = - 2.03 \cdot (\frac{1}{1.508} + \frac{1}{1.49})

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Low-Frequency Voltage Gain of CS Amplifier Solution

Follow our step by step solution on how to calculate Low-Frequency Voltage Gain of CS Amplifier?

FIRST Step Consider the formula

G f = - g ms \cdot (\frac{1}{R out} + \frac{1}{R L})

Next Step Substitute values of Variables

∴

G f = - 2.03mS \cdot (\frac{1}{1.508kΩ} + \frac{1}{1.49kΩ})

Next Step Convert Units

∴

G f = - 0.002S \cdot (\frac{1}{1508Ω} + \frac{1}{1490Ω})

Next Step Prepare to Evaluate

∴

G f = - 0.002 \cdot (\frac{1}{1508} + \frac{1}{1490})

Next Step Evaluate

∴

G f = -2.7085699535364E-06

LAST Step Rounding Answer

∴

G f = -2.7E-6

Low-Frequency Voltage Gain of CS Amplifier Formula Elements

Variables

Low-Frequency Gain

Low-frequency gain of the voltage amplifier is calculated at frequencies whose values are less than those frequencies where the gain is close to its maximum value.

Symbol: G_f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Low-Frequency Gain

Short Circuit Transconductance

Short Circuit transconductance is the electrical characteristic relating the current through the output of a device to the voltage across the input of a device.

Symbol: g_ms

Measurement: Electric ConductanceUnit: mS

Note: Value should be greater than 0.

Formulas to find Short Circuit Transconductance

Output Resistance

Output resistance is the resistance an amplifier sees when driving a load. It is an important parameter in amplifier design as it affects the amplifier's output power and efficiency.

Symbol: R_out

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Output Resistance

Load Resistance

Load resistance is the cumulative resistance of a circuit, as seen by the voltage, current, or power source driving that circuit.

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 Frequency of Zero Transmission of CS Amplifier

f tm = \frac{1}{C s \cdot R sig}

Go Midband Gain of CS Amplifier

A mid = \frac{V out}{V' sig}

Go Output Voltage of CS Amplifier

V out = g m \cdot V gs \cdot R L

Go Equivalent Signal Resistance of CS Amplifier

R' sig = \frac{1}{(\frac{1}{R sig} + \frac{1}{R out})}

How to Evaluate Low-Frequency Voltage Gain of CS Amplifier?

Low-Frequency Voltage Gain of CS Amplifier evaluator uses Low-Frequency Gain = -Short Circuit Transconductance*(1/Output Resistance+1/Load Resistance) to evaluate the Low-Frequency Gain, Low-Frequency Voltage Gain of CS Amplifier formula is defined as the voltage amplifier at frequencies less than those frequencies at which this gain is close to its maximum value. Low-Frequency Gain is denoted by G_f symbol.

How to evaluate Low-Frequency Voltage Gain of CS Amplifier using this online evaluator? To use this online evaluator for Low-Frequency Voltage Gain of CS Amplifier, enter Short Circuit Transconductance (g_ms), Output Resistance (R_out) & Load Resistance (R_L) and hit the calculate button.

FAQs on Low-Frequency Voltage Gain of CS Amplifier

What is the formula to find Low-Frequency Voltage Gain of CS Amplifier?

The formula of Low-Frequency Voltage Gain of CS Amplifier is expressed as Low-Frequency Gain = -Short Circuit Transconductance*(1/Output Resistance+1/Load Resistance). Here is an example- -2.7E-6 = -0.00203*(1/1508+1/1490).

How to calculate Low-Frequency Voltage Gain of CS Amplifier?

With Short Circuit Transconductance (g_ms), Output Resistance (R_out) & Load Resistance (R_L) we can find Low-Frequency Voltage Gain of CS Amplifier using the formula - Low-Frequency Gain = -Short Circuit Transconductance*(1/Output Resistance+1/Load Resistance).

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Low-Frequency Voltage Gain of CS Amplifier Formula

Low-Frequency Voltage Gain of CS Amplifier Example

Low-Frequency Voltage Gain of CS Amplifier Solution

Low-Frequency Voltage Gain of CS Amplifier Formula Elements

Other formulas in Response of CS Amplifier category

How to Evaluate Low-Frequency Voltage Gain of CS Amplifier?

FAQs on Low-Frequency Voltage Gain of CS Amplifier

Variable Name