High-Frequency Band given Complex Frequency Variable Calculator

✖3 dB Frequency is the point at which the signal has been attenuated by 3dB (in a bandpass filter).ⓘ 3 dB Frequency [f_3dB]			+10% -10%
✖Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second.ⓘ Frequency [f_t]			+10% -10%
✖Frequency Observed is the number of oscillations made by the sound wave in one second. Its SI Unit is hertz.ⓘ Frequency Observed [f_o]			+10% -10%
✖A pole frequency is that frequency at which the transfer function of a system approaches infinity.ⓘ Pole Frequency [f_p]			+10% -10%
✖Second Pole Frequency is that frequency at which the transfer function of a system approaches infinity.ⓘ Second Pole Frequency [f_p2]			+10% -10%

✖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.ⓘ High-Frequency Band given Complex Frequency Variable [A_m]

⎘ Copy

👎

Formula

✖

High-Frequency Band given Complex Frequency Variable

Formula

`"A"_{"m"} = sqrt(((1+("f"_{"3dB"}/"f"_{"t"}))*(1+("f"_{"3dB"}/"f"_{"o"})))/((1+("f"_{"3dB"}/"f"_{"p"}))*(1+("f"_{"3dB"}/"f"_{"p2"}))))`

Example

`"12.19146dB"=sqrt(((1+("50Hz"/"36.75Hz"))*(1+("50Hz"/"0.112Hz")))/((1+("50Hz"/"36.532Hz"))*(1+("50Hz"/"25Hz"))))`

Calculator

LaTeX

Reset

👍

Download High Frequency Response Amplifiers Formula PDF

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))))
A_m = sqrt(((1+(f_3dB/f_t))*(1+(f_3dB/f_o)))/((1+(f_3dB/f_p))*(1+(f_3dB/f_p2))))
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

A_m = sqrt(((1+(f_3dB/f_t))*(1+(f_3dB/f_o)))/((1+(f_3dB/f_p))*(1+(f_3dB/f_p2)))) --> sqrt(((1+(50/36.75))*(1+(50/0.112)))/((1+(50/36.532))*(1+(50/25))))

Evaluating ... ...

A_m = 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 00.004 seconds)

You are here -

Home » Engineering » Electronics » Amplifiers » High Frequency Response Amplifiers » Response of CE Amplifier » High-Frequency Band given Complex Frequency Variable

Credits

Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has created this Calculator and 600+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 8 Response of CE Amplifier Calculators

Effective High Frequency Time Constant of CE Amplifier

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

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))))

Input Capacitance in High-Frequency Gain of CE Amplifier

Go Input Capacitance = Collector Base Junction Capacitance+Base Emitter Capacitance*(1+(Transconductance*Load Resistance))

Collector Base Junction Resistance of CE Amplifier

Go Collector Resistance = Signal Resistance*(1+Transconductance*Load Resistance)+Load Resistance

High-Frequency Gain of CE Amplifier

Go High Frequency Response = Upper 3-dB Frequency/(2*pi)

Upper 3dB Frequency of CE Amplifier

Go Upper 3-dB Frequency = 2*pi*High Frequency Response

Amplifier Bandwidth in Discrete-Circuit Amplifier

Go Amplifier Bandwidth = High Frequency-Low Frequency

Mid Band Gain of CE Amplifier

Go Mid Band Gain = Output Voltage/Threshold Voltage

< 25 Common Stage Amplifiers Calculators

Effective High Frequency Time Constant of CE Amplifier

High-Frequency Band given Complex Frequency Variable

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))))

Open Circuit Time Constant in High Frequency Response of CG Amplifier

Go Open Circuit Time Constant = Gate to Source Capacitance*(1/Signal Resistance+Transconductance)+(Capacitance+Gate to Drain Capacitance)*Load Resistance

Test Current in Open Circuit Time Constants Method of CS Amplifier

Go Test Current = Transconductance*Gate to Source Voltage+(Test Voltage+Gate to Source Voltage)/Load Resistance

Input Capacitance in High-Frequency Gain of CE Amplifier

Go Input Capacitance = Collector Base Junction Capacitance+Base Emitter Capacitance*(1+(Transconductance*Load Resistance))

Input Resistance of CG Amplifier

Go Resistance = (Finite Input Resistance+Load Resistance)/(1+(Transconductance*Finite Input Resistance))

Load Resistance of CG Amplifier

Go Load Resistance = Resistance*(1+(Transconductance*Finite Input Resistance))-Finite Input Resistance

Collector Base Junction Resistance of CE Amplifier

Go Collector Resistance = Signal Resistance*(1+Transconductance*Load Resistance)+Load Resistance

Open Circuit Time Constant between Gate and Drain of Common Gate Amplifier

Go Open Circuit Time Constant = (Capacitance+Gate to Drain Capacitance)*Load Resistance

Load Resistance of CS Amplifier

Go Load Resistance = (Output Voltage/(Transconductance*Gate to Source Voltage))

High-Frequency Response given Input Capacitance

Go High Frequency Response = 1/(2*pi*Signal Resistance*Input Capacitance)

Output Voltage of CS Amplifier

Go Output Voltage = Transconductance*Gate to Source Voltage*Load Resistance

Equivalent Signal Resistance of CS Amplifier

Go Internal Small Signal Resistance = 1/((1/Signal Resistance+1/Output Resistance))

Frequency of Zero Transmission of CS Amplifier

Go Transmission Frequency = 1/(Bypass Capacitor*Signal Resistance)

Bypass Capacitance of CS Amplifier

Go Bypass Capacitor = 1/(Transmission Frequency*Signal Resistance)

Resistance between Gate and Source of CG Amplifier

Go Resistance = 1/(1/Finite Input Resistance+1/Signal Resistance)

High-Frequency Gain of CE Amplifier

Go High Frequency Response = Upper 3-dB Frequency/(2*pi)

Upper 3dB Frequency of CE Amplifier

Go Upper 3-dB Frequency = 2*pi*High Frequency Response

Drain Voltage through Method of Open-Circuit Time Constants to CS Amplifier

Go Drain Voltage = Test Voltage+Gate to Source Voltage

Source Voltage of CS Amplifier

Go Gate to Source Voltage = Drain Voltage-Test Voltage

Midband Gain of CS Amplifier

Go Mid Band Gain = Output Voltage/Small Signal Voltage

Amplifier Bandwidth in Discrete-Circuit Amplifier

Go Amplifier Bandwidth = High Frequency-Low Frequency

Mid Band Gain of CE Amplifier

Go Mid Band Gain = Output Voltage/Threshold Voltage

Resistance between Gate and Drain in Open Circuit Time Constants Method of CS Amplifier

Go Resistance = Test Voltage/Test Current

Current Gain of CS Amplifier

Go Current Gain = Power Gain/Voltage Gain

High-Frequency Band given Complex Frequency Variable Formula

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 A_m 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 (f_3dB), Frequency (f_t), Frequency Observed (f_o), Pole Frequency (f_p) & Second Pole Frequency (f_p2) 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 A_m = sqrt(((1+(f_3dB/f_t))*(1+(f_3dB/f_o)))/((1+(f_3dB/f_p))*(1+(f_3dB/f_p2)))) 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 (f_3dB), Frequency (f_t), Frequency Observed (f_o), Pole Frequency (f_p) & Second Pole Frequency (f_p2). 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.

Home

FREE PDFs

🔍 Search