High-Frequency Band given Complex Frequency Variable Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))))
Am = sqrt(((1+(f3dB/ft))*(1+(f3dB/fo)))/((1+(f3dB/fp))*(1+(f3dB/fp2))))
This formula uses 1 Functions, 6 Variables
Functions Used
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., sqrt(Number)
Variables Used
Amplifier Gain in Mid Band - (Measured in Decibel) - 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.
3 dB Frequency - (Measured in Hertz) - 3 dB Frequency is the point at which the signal has been attenuated by 3dB (in a bandpass filter).
Frequency - (Measured in Hertz) - Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second.
Frequency Observed - (Measured in Hertz) - Frequency Observed is the number of oscillations made by the sound wave in one second. Its SI Unit is hertz.
Pole Frequency - (Measured in Hertz) - A pole frequency is that frequency at which the transfer function of a system approaches infinity.
Second Pole Frequency - (Measured in Hertz) - Second Pole Frequency is that frequency at which the transfer function of a system approaches infinity.
STEP 1: Convert Input(s) to Base Unit
3 dB Frequency: 50 Hertz --> 50 Hertz No Conversion Required
Frequency: 36.75 Hertz --> 36.75 Hertz No Conversion Required
Frequency Observed: 0.112 Hertz --> 0.112 Hertz No Conversion Required
Pole Frequency: 36.532 Hertz --> 36.532 Hertz No Conversion Required
Second Pole Frequency: 25 Hertz --> 25 Hertz No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Am = sqrt(((1+(f3dB/ft))*(1+(f3dB/fo)))/((1+(f3dB/fp))*(1+(f3dB/fp2)))) --> sqrt(((1+(50/36.75))*(1+(50/0.112)))/((1+(50/36.532))*(1+(50/25))))
Evaluating ... ...
Am = 12.191458173796
STEP 3: Convert Result to Output's Unit
12.191458173796 Decibel --> No Conversion Required
FINAL ANSWER
12.191458173796 12.19146 Decibel <-- Amplifier Gain in Mid Band
(Calculation completed in 00.020 seconds)

Credits

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Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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National Institute Of Technology (NIT), Hamirpur
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Response of CE Amplifier Calculators

Input Capacitance in High-Frequency Gain of CE Amplifier
​ LaTeX ​ Go Input Capacitance = Collector Base Junction Capacitance+Base Emitter Capacitance*(1+(Transconductance*Load Resistance))
High-Frequency Gain of CE Amplifier
​ LaTeX ​ Go High Frequency Response = Upper 3-dB Frequency/(2*pi)
Upper 3dB Frequency of CE Amplifier
​ LaTeX ​ Go Upper 3-dB Frequency = 2*pi*High Frequency Response
Mid Band Gain of CE Amplifier
​ LaTeX ​ Go Mid Band Gain = Output Voltage/Threshold Voltage

Common Stage Amplifiers Calculators

Effective High Frequency Time Constant of CE Amplifier
​ LaTeX ​ Go Effective High Frequency Time Constant = Base Emitter Capacitance*Signal Resistance+(Collector Base Junction Capacitance*(Signal Resistance*(1+Transconductance*Load Resistance)+Load Resistance))+(Capacitance*Load Resistance)
High-Frequency Band given Complex Frequency Variable
​ LaTeX ​ Go 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))))
Collector Base Junction Resistance of CE Amplifier
​ LaTeX ​ Go Collector Resistance = Signal Resistance*(1+Transconductance*Load Resistance)+Load Resistance
Amplifier Bandwidth in Discrete-Circuit Amplifier
​ LaTeX ​ Go Amplifier Bandwidth = High Frequency-Low Frequency

High-Frequency Band given Complex Frequency Variable Formula

​LaTeX ​Go
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))))
Am = sqrt(((1+(f3dB/ft))*(1+(f3dB/fo)))/((1+(f3dB/fp))*(1+(f3dB/fp2))))

What determine the high frequency response of an amplifier?

The two RC circuits created by the internal transistor capacitances influence the high-frequency response of BJT amplifiers. As the frequency increases and reaches the high end of its midrange values, one of the RC will cause the amplifier's gain to begin dropping off.

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

High-Frequency Band given Complex Frequency Variable calculator 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 calculate 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 Am symbol.

How to calculate High-Frequency Band given Complex Frequency Variable using this online calculator? To use this online calculator for High-Frequency Band given Complex Frequency Variable, enter 3 dB Frequency (f3dB), Frequency (ft), Frequency Observed (fo), Pole Frequency (fp) & Second Pole Frequency (fp2) and hit the calculate button. Here is how the High-Frequency Band given Complex Frequency Variable calculation can be explained with given input values -> 12.19146 = sqrt(((1+(50/36.75))*(1+(50/0.112)))/((1+(50/36.532))*(1+(50/25)))).

FAQ

What is High-Frequency Band given Complex Frequency Variable?
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 and is represented as Am = sqrt(((1+(f3dB/ft))*(1+(f3dB/fo)))/((1+(f3dB/fp))*(1+(f3dB/fp2)))) or 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)))). 3 dB Frequency is the point at which the signal has been attenuated by 3dB (in a bandpass filter), Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second, Frequency Observed is the number of oscillations made by the sound wave in one second. Its SI Unit is hertz, A pole frequency is that frequency at which the transfer function of a system approaches infinity & Second Pole Frequency is that frequency at which the transfer function of a system approaches infinity.
How to calculate High-Frequency Band given Complex Frequency Variable?
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 is calculated using 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 calculate High-Frequency Band given Complex Frequency Variable, you need 3 dB Frequency (f3dB), Frequency (ft), Frequency Observed (fo), Pole Frequency (fp) & Second Pole Frequency (fp2). With our tool, you need to enter the respective value for 3 dB Frequency, Frequency, Frequency Observed, Pole Frequency & Second Pole Frequency 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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