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3 DB Frequency of CS Amplifier without Dominant Poles Formula

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3-dB frequency is the point at which the signal has been attenuated by 3dB (in a bandpass filter). Check FAQs

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

f_L - 3-dB Frequency?ω_p1 - Pole Frequency 1?f_P - Frequency of Dominant Pole?ω_p3 - Pole Frequency 3?f - Frequency?

3 DB Frequency of CS Amplifier without Dominant Poles Example

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Here is how the 3 DB Frequency of CS Amplifier without Dominant Poles equation looks like with Values.

Here is how the 3 DB Frequency of CS Amplifier without Dominant Poles equation looks like with Units.

Here is how the 3 DB Frequency of CS Amplifier without Dominant Poles equation looks like.

42.4269 = \sqrt{{0.2}^{2} + 80^{2} + 20^{2} - (2 \cdot 50^{2})}

42.4269Hz = \sqrt{{0.2Hz}^{2} + {80Hz}^{2} + {20Hz}^{2} - (2 \cdot {50Hz}^{2})}

42.4269 = \sqrt{{0.2}^{2} + 80^{2} + 20^{2} - (2 \cdot 50^{2})}

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3 DB Frequency of CS Amplifier without Dominant Poles Solution

Follow our step by step solution on how to calculate 3 DB Frequency of CS Amplifier without Dominant Poles?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

f L = \sqrt{{0.2Hz}^{2} + {80Hz}^{2} + {20Hz}^{2} - (2 \cdot {50Hz}^{2})}

Next Step Prepare to Evaluate

∴

f L = \sqrt{{0.2}^{2} + 80^{2} + 20^{2} - (2 \cdot 50^{2})}

Next Step Evaluate

∴

f L = 42.4268782730948Hz

LAST Step Rounding Answer

∴

f L = 42.4269Hz

3 DB Frequency of CS Amplifier without Dominant Poles Formula Elements

Variables

Functions

3-dB Frequency

3-dB frequency is the point at which the signal has been attenuated by 3dB (in a bandpass filter).

Symbol: f_L

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find 3-dB Frequency

Pole Frequency 1

Pole frequency 1 is that frequency at which the transfer function of a system approaches infinity.

Symbol: ω_p1

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Pole Frequency 1

Frequency of Dominant Pole

The frequency of Dominant Pole is the lowest frequency because it dominates the effect of all of the higher frequency poles.

Symbol: f_P

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Frequency of Dominant Pole

Pole Frequency 3

Pole frequency 3 is that frequency at which the transfer function of a system approaches infinity.

Symbol: ω_p3

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Pole Frequency 3

Frequency

Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second.

Symbol: f

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Frequency

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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 Mid-Band Gain of CS Amplifier

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

How to Evaluate 3 DB Frequency of CS Amplifier without Dominant Poles?

3 DB Frequency of CS Amplifier without Dominant Poles evaluator uses 3-dB Frequency = sqrt(Pole Frequency 1^2+Frequency of Dominant Pole^2+Pole Frequency 3^2-(2*Frequency^2)) to evaluate the 3-dB Frequency, The 3 dB frequency of CS amplifier without dominant poles formula is defined as the point at which the signal has been attenuated by 3dB (in a bandpass filter). This is generally considered the point for determining the filter's bandwidth. The bandwidth is defined as the difference between the upper and lower 3dB points. 3-dB Frequency is denoted by f_L symbol.

How to evaluate 3 DB Frequency of CS Amplifier without Dominant Poles using this online evaluator? To use this online evaluator for 3 DB Frequency of CS Amplifier without Dominant Poles, enter Pole Frequency 1 (ω_p1), Frequency of Dominant Pole (f_P), Pole Frequency 3 (ω_p3) & Frequency (f) and hit the calculate button.

FAQs on 3 DB Frequency of CS Amplifier without Dominant Poles

What is the formula to find 3 DB Frequency of CS Amplifier without Dominant Poles?

The formula of 3 DB Frequency of CS Amplifier without Dominant Poles is expressed as 3-dB Frequency = sqrt(Pole Frequency 1^2+Frequency of Dominant Pole^2+Pole Frequency 3^2-(2*Frequency^2)). Here is an example- 42.42688 = sqrt(0.2^2+80^2+20^2-(2*50^2)).

How to calculate 3 DB Frequency of CS Amplifier without Dominant Poles?

With Pole Frequency 1 (ω_p1), Frequency of Dominant Pole (f_P), Pole Frequency 3 (ω_p3) & Frequency (f) we can find 3 DB Frequency of CS Amplifier without Dominant Poles using the formula - 3-dB Frequency = sqrt(Pole Frequency 1^2+Frequency of Dominant Pole^2+Pole Frequency 3^2-(2*Frequency^2)). This formula also uses Square Root (sqrt) function(s).

Can the 3 DB Frequency of CS Amplifier without Dominant Poles be negative?

No, the 3 DB Frequency of CS Amplifier without Dominant Poles, measured in Frequency cannot be negative.

Which unit is used to measure 3 DB Frequency of CS Amplifier without Dominant Poles?

3 DB Frequency of CS Amplifier without Dominant Poles is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which 3 DB Frequency of CS Amplifier without Dominant Poles can be measured.

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3 DB Frequency of CS Amplifier without Dominant Poles Formula

3 DB Frequency of CS Amplifier without Dominant Poles Example

3 DB Frequency of CS Amplifier without Dominant Poles Solution

3 DB Frequency of CS Amplifier without Dominant Poles Formula Elements

Other formulas in Response of CS Amplifier category

How to Evaluate 3 DB Frequency of CS Amplifier without Dominant Poles?

FAQs on 3 DB Frequency of CS Amplifier without Dominant Poles

Variable Name