3-DB Frequency in Design Insight and Trade-Off Calculator

✖Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.ⓘ Capacitance [C_t]			+10% -10%
✖Gate to Drain Capacitance is defined as the capacitance that is observed between the gate and drain of the Junction of MOSFET.ⓘ Gate to Drain Capacitance [C_gd]			+10% -10%
✖Load resistance is the cumulative resistance of a circuit, as seen by the voltage, current, or power source driving that circuit.ⓘ Load Resistance [R_L]			+10% -10%
✖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.ⓘ Output Resistance [R_out]			+10% -10%

✖3 dB Frequency is the point at which the signal has been attenuated by 3dB (in a bandpass filter).ⓘ 3-DB Frequency in Design Insight and Trade-Off [f_3dB]

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3-DB Frequency in Design Insight and Trade-Off

Formula

`"f"_{"3dB"} = 1/(2*pi*("C"_{"t"}+"C"_{"gd"})*(1/(1/"R"_{"L"}+1/"R"_{"out"})))`

Example

`"50.15489Hz"=1/(2*pi*("2.889μF"+"1.345μF")*(1/(1/"1.49kΩ"+1/"1.508kΩ")))`

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3-DB Frequency in Design Insight and Trade-Off Solution

STEP 0: Pre-Calculation Summary

Formula Used

3 dB Frequency = 1/(2*pi*(Capacitance+Gate to Drain Capacitance)*(1/(1/Load Resistance+1/Output Resistance)))
f_3dB = 1/(2*pi*(C_t+C_gd)*(1/(1/R_L+1/R_out)))
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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).
Capacitance - (Measured in Farad) - Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
Gate to Drain Capacitance - (Measured in Farad) - Gate to Drain Capacitance is defined as the capacitance that is observed between the gate and drain of the Junction of MOSFET.
Load Resistance - (Measured in Ohm) - Load resistance is the cumulative resistance of a circuit, as seen by the voltage, current, or power source driving that circuit.
Output Resistance - (Measured in Ohm) - 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.

STEP 1: Convert Input(s) to Base Unit

Capacitance: 2.889 Microfarad --> 2.889E-06 Farad (Check conversion here)
Gate to Drain Capacitance: 1.345 Microfarad --> 1.345E-06 Farad (Check conversion here)
Load Resistance: 1.49 Kilohm --> 1490 Ohm (Check conversion here)
Output Resistance: 1.508 Kilohm --> 1508 Ohm (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_3dB = 1/(2*pi*(C_t+C_gd)*(1/(1/R_L+1/R_out))) --> 1/(2*pi*(2.889E-06+1.345E-06)*(1/(1/1490+1/1508)))

Evaluating ... ...

f_3dB = 50.1548916483618

STEP 3: Convert Result to Output's Unit

50.1548916483618 Hertz --> No Conversion Required

FINAL ANSWER

50.1548916483618 ≈ 50.15489 Hertz <-- 3 dB Frequency

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electronics » Amplifiers » High Frequency Response Amplifiers » Response of Cascode Amplifier » 3-DB Frequency in Design Insight and Trade-Off

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Birsa Institute of Technology (BIT), Sindri

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< 5 Response of Cascode Amplifier Calculators

Gain Bandwidth Product

Go Gain Bandwidth Product = (Transconductance*Load Resistance)/(2*pi*Load Resistance*(Capacitance+Gate to Drain Capacitance))

3-DB Frequency in Design Insight and Trade-Off

Go 3 dB Frequency = 1/(2*pi*(Capacitance+Gate to Drain Capacitance)*(1/(1/Load Resistance+1/Output Resistance)))

Drain Resistance in Cascode Amplifier

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

Amplifier Gain given Function of Complex Frequency Variable

Go Amplifier Gain in Mid Band = Mid Band Gain*Gain Factor

Gain Factor

Go Gain Factor = Amplifier Gain in Mid Band/Mid Band Gain

< 20 Multi Stage Amplifiers Calculators

Constant 2 of Source Follower Transfer Function

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

Gain Bandwidth Product

Go Gain Bandwidth Product = (Transconductance*Load Resistance)/(2*pi*Load Resistance*(Capacitance+Gate to Drain Capacitance))

3-DB Frequency in Design Insight and Trade-Off

Go 3 dB Frequency = 1/(2*pi*(Capacitance+Gate to Drain Capacitance)*(1/(1/Load Resistance+1/Output Resistance)))

Transconductance of CC-CB Amplifier

Go Transconductance = (2*Voltage Gain)/((Resistance/(Resistance+Signal Resistance))*Load Resistance)

Overall Voltage Gain of CC CB Amplifier

Go Voltage Gain = 1/2*(Resistance/(Resistance+Signal Resistance))*Load Resistance*Transconductance

Signal Voltage in High Frequency Response of Source and Emitter Follower

Go Output Voltage = (Electric Current*Signal Resistance)+Gate to Source Voltage+Threshold Voltage

Input Resistance of CC CB Amplifier

Go Resistance = (Common Emitter Current Gain+1)*(Emitter Resistance+Resistance of Secondary Winding in Primary)

Total Capacitance of CB-CG Amplifier

Go Capacitance = 1/(2*pi*Load Resistance*Output Pole Frequency)

Dominant Pole Frequency of Differential Amplifier

Go Pole Frequency = 1/(2*pi*Capacitance*Output Resistance)

Frequency of Differential Amplifier given Load Resistance

Go Frequency = 1/(2*pi*Load Resistance*Capacitance)

Short Circuit Transconductance of Differential Amplifier

Go Short Circuit Transconductance = Output Current/Differential Input Signal

Transition Frequency of Source-Follower Transfer Function

Go Transition Frequency = Transconductance/Gate to Source Capacitance

Gate to Source Capacitance of Source Follower

Go Gate to Source Capacitance = Transconductance/Transition Frequency

Transconductance of Source-Follower

Go Transconductance = Transition Frequency*Gate to Source Capacitance

Drain Resistance in Cascode Amplifier

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

Amplifier Gain given Function of Complex Frequency Variable

Go Amplifier Gain in Mid Band = Mid Band Gain*Gain Factor

Gain Factor

Go Gain Factor = Amplifier Gain in Mid Band/Mid Band Gain

Dominant Pole-Frequency of Source-Follower

Go Frequency of Dominant Pole = 1/(2*pi*Constant B)

Power Gain of Amplifier given Voltage Gain and Current Gain

Go Power Gain = Voltage Gain*Current Gain

Break Frequency of Source Follower

Go Break Frequency = 1/sqrt(Constant C)

3-DB Frequency in Design Insight and Trade-Off Formula

3 dB Frequency = 1/(2*pi*(Capacitance+Gate to Drain Capacitance)*(1/(1/Load Resistance+1/Output Resistance)))
f_3dB = 1/(2*pi*(C_t+C_gd)*(1/(1/R_L+1/R_out)))

What is the difference between Cascade and Cascode amplifier?

In a cascade amplifier, the transistors are arranged like a chain that is the output of the first transistor is connected as input for the second transistor. While in a cascode amplifier, the transistor is placed one above the other.

How to Calculate 3-DB Frequency in Design Insight and Trade-Off?

3-DB Frequency in Design Insight and Trade-Off calculator uses 3 dB Frequency = 1/(2*pi*(Capacitance+Gate to Drain Capacitance)*(1/(1/Load Resistance+1/Output Resistance))) to calculate the 3 dB Frequency, The 3-dB frequency in design insight and trade-off formula is defined as usually denoted by the Greek letter τ (tau), which is the parameter characterizing the response to a step input of a first-order, linear time-invariant (LTI) system. The time constant is the main characteristic unit of a first-order LTI system. 3 dB Frequency is denoted by f_3dB symbol.

How to calculate 3-DB Frequency in Design Insight and Trade-Off using this online calculator? To use this online calculator for 3-DB Frequency in Design Insight and Trade-Off, enter Capacitance (C_t), Gate to Drain Capacitance (C_gd), Load Resistance (R_L) & Output Resistance (R_out) and hit the calculate button. Here is how the 3-DB Frequency in Design Insight and Trade-Off calculation can be explained with given input values -> 50.15489 = 1/(2*pi*(2.889E-06+1.345E-06)*(1/(1/1490+1/1508))).

FAQ

What is 3-DB Frequency in Design Insight and Trade-Off?

The 3-dB frequency in design insight and trade-off formula is defined as usually denoted by the Greek letter τ (tau), which is the parameter characterizing the response to a step input of a first-order, linear time-invariant (LTI) system. The time constant is the main characteristic unit of a first-order LTI system and is represented as f_3dB = 1/(2*pi*(C_t+C_gd)*(1/(1/R_L+1/R_out))) or 3 dB Frequency = 1/(2*pi*(Capacitance+Gate to Drain Capacitance)*(1/(1/Load Resistance+1/Output Resistance))). Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential, Gate to Drain Capacitance is defined as the capacitance that is observed between the gate and drain of the Junction of MOSFET, Load resistance is the cumulative resistance of a circuit, as seen by the voltage, current, or power source driving that circuit & 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.

How to calculate 3-DB Frequency in Design Insight and Trade-Off?

The 3-dB frequency in design insight and trade-off formula is defined as usually denoted by the Greek letter τ (tau), which is the parameter characterizing the response to a step input of a first-order, linear time-invariant (LTI) system. The time constant is the main characteristic unit of a first-order LTI system is calculated using 3 dB Frequency = 1/(2*pi*(Capacitance+Gate to Drain Capacitance)*(1/(1/Load Resistance+1/Output Resistance))). To calculate 3-DB Frequency in Design Insight and Trade-Off, you need Capacitance (C_t), Gate to Drain Capacitance (C_gd), Load Resistance (R_L) & Output Resistance (R_out). With our tool, you need to enter the respective value for Capacitance, Gate to Drain Capacitance, Load Resistance & Output Resistance 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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