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High-Frequency Band given Complex Frequency Variable Formula

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Amplifier Gain in Mid Band is a measure of the ability of a two-port circuit to increase the power or amplitude of a signal from the input to the output port. Check FAQs

A m = \sqrt{\frac{(1 + (\frac{f 3dB}{f t})) \cdot (1 + (\frac{f 3dB}{f o}))}{(1 + (\frac{f 3dB}{f p})) \cdot (1 + (\frac{f 3dB}{f p2}))}}

A_m - Amplifier Gain in Mid Band?f_3dB - 3 dB Frequency?f_t - Frequency?f_o - Frequency Observed?f_p - Pole Frequency?f_p2 - Second Pole Frequency?

High-Frequency Band given Complex Frequency Variable Example

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Here is how the High-Frequency Band given Complex Frequency Variable equation looks like with Values.

Here is how the High-Frequency Band given Complex Frequency Variable equation looks like with Units.

Here is how the High-Frequency Band given Complex Frequency Variable equation looks like.

12.1915 = \sqrt{\frac{(1 + (\frac{50}{36.75})) \cdot (1 + (\frac{50}{0.112}))}{(1 + (\frac{50}{36.532})) \cdot (1 + (\frac{50}{25}))}}

12.1915dB = \sqrt{\frac{(1 + (\frac{50Hz}{36.75Hz})) \cdot (1 + (\frac{50Hz}{0.112Hz}))}{(1 + (\frac{50Hz}{36.532Hz})) \cdot (1 + (\frac{50Hz}{25Hz}))}}

12.1915 = \sqrt{\frac{(1 + (\frac{50}{36.75})) \cdot (1 + (\frac{50}{0.112}))}{(1 + (\frac{50}{36.532})) \cdot (1 + (\frac{50}{25}))}}

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High-Frequency Band given Complex Frequency Variable Solution

Follow our step by step solution on how to calculate High-Frequency Band given Complex Frequency Variable?

FIRST Step Consider the formula

A m = \sqrt{\frac{(1 + (\frac{f 3dB}{f t})) \cdot (1 + (\frac{f 3dB}{f o}))}{(1 + (\frac{f 3dB}{f p})) \cdot (1 + (\frac{f 3dB}{f p2}))}}

Next Step Substitute values of Variables

∴

A m = \sqrt{\frac{(1 + (\frac{50Hz}{36.75Hz})) \cdot (1 + (\frac{50Hz}{0.112Hz}))}{(1 + (\frac{50Hz}{36.532Hz})) \cdot (1 + (\frac{50Hz}{25Hz}))}}

Next Step Prepare to Evaluate

∴

A m = \sqrt{\frac{(1 + (\frac{50}{36.75})) \cdot (1 + (\frac{50}{0.112}))}{(1 + (\frac{50}{36.532})) \cdot (1 + (\frac{50}{25}))}}

Next Step Evaluate

∴

A m = 12.191458173796dB

LAST Step Rounding Answer

∴

A m = 12.1915dB

High-Frequency Band given Complex Frequency Variable Formula Elements

Variables

Functions

Amplifier Gain in Mid Band

Amplifier Gain in Mid Band is a measure of the ability of a two-port circuit to increase the power or amplitude of a signal from the input to the output port.

Symbol: A_m

Measurement: SoundUnit: dB

Note: Value should be greater than 0.

Formulas to find Amplifier Gain in Mid Band

3 dB Frequency

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

Symbol: f_3dB

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find 3 dB Frequency

Frequency

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

Symbol: f_t

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Frequency

Frequency Observed

Frequency Observed is the number of oscillations made by the sound wave in one second. Its SI Unit is hertz.

Symbol: f_o

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Frequency Observed

Pole Frequency

A pole frequency is that frequency at which the transfer function of a system approaches infinity.

Symbol: f_p

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Pole Frequency

Second Pole Frequency

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

Symbol: f_p2

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Second Pole 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 CE Amplifier category

Go Amplifier Bandwidth in Discrete-Circuit Amplifier

BW = f h - f L

Go Collector Base Junction Resistance of CE Amplifier

R c = R sig \cdot (1 + g m \cdot R L) + R L

Go Effective High Frequency Time Constant of CE Amplifier

𝜏 H = C be \cdot R sig + (C cb \cdot (R sig \cdot (1 + g m \cdot R L) + R L)) + (C t \cdot R L)

Go High-Frequency Gain of CE Amplifier

A hf = \frac{f u3dB}{2 \cdot π}

How to Evaluate High-Frequency Band given Complex Frequency Variable?

High-Frequency Band given Complex Frequency Variable evaluator uses Amplifier Gain in Mid Band = sqrt(((1+(3 dB Frequency/Frequency))*(1+(3 dB Frequency/Frequency Observed)))/((1+(3 dB Frequency/Pole Frequency))*(1+(3 dB Frequency/Second Pole Frequency)))) to evaluate the Amplifier Gain in Mid Band, The High-frequency band given complex frequency variable formula is defined as a wideband high-frequency amplifier circuit, a Wide frequency band between 75-150 MHz, using transistors, a PNP amplifier. to enhance the signal strength. Before the receiver of the phone. Amplifier Gain in Mid Band is denoted by A_m symbol.

How to evaluate High-Frequency Band given Complex Frequency Variable using this online evaluator? To use this online evaluator for High-Frequency Band given Complex Frequency Variable, enter 3 dB Frequency (f_3dB), Frequency (f_t), Frequency Observed (f_o), Pole Frequency (f_p) & Second Pole Frequency (f_p2) and hit the calculate button.

FAQs on High-Frequency Band given Complex Frequency Variable

What is the formula to find High-Frequency Band given Complex Frequency Variable?

The formula of High-Frequency Band given Complex Frequency Variable is expressed as Amplifier Gain in Mid Band = sqrt(((1+(3 dB Frequency/Frequency))*(1+(3 dB Frequency/Frequency Observed)))/((1+(3 dB Frequency/Pole Frequency))*(1+(3 dB Frequency/Second Pole Frequency)))). Here is an example- 12.19146 = sqrt(((1+(50/36.75))*(1+(50/0.112)))/((1+(50/36.532))*(1+(50/25)))).

How to calculate High-Frequency Band given Complex Frequency Variable?

With 3 dB Frequency (f_3dB), Frequency (f_t), Frequency Observed (f_o), Pole Frequency (f_p) & Second Pole Frequency (f_p2) we can find High-Frequency Band given Complex Frequency Variable using the formula - Amplifier Gain in Mid Band = sqrt(((1+(3 dB Frequency/Frequency))*(1+(3 dB Frequency/Frequency Observed)))/((1+(3 dB Frequency/Pole Frequency))*(1+(3 dB Frequency/Second Pole Frequency)))). This formula also uses Square Root (sqrt) function(s).

Can the High-Frequency Band given Complex Frequency Variable be negative?

No, the High-Frequency Band given Complex Frequency Variable, measured in Sound cannot be negative.

Which unit is used to measure High-Frequency Band given Complex Frequency Variable?

High-Frequency Band given Complex Frequency Variable is usually measured using the Decibel[dB] for Sound. Bel[dB], Neper[dB] are the few other units in which High-Frequency Band given Complex Frequency Variable can be measured.

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High-Frequency Band given Complex Frequency Variable Formula

High-Frequency Band given Complex Frequency Variable Example

High-Frequency Band given Complex Frequency Variable Solution

High-Frequency Band given Complex Frequency Variable Formula Elements

Other formulas in Response of CE Amplifier category

How to Evaluate High-Frequency Band given Complex Frequency Variable?

FAQs on High-Frequency Band given Complex Frequency Variable

Variable Name