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3-DB Frequency in Design Insight and Trade-Off 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 3dB = \frac{1}{2 \cdot π \cdot (C t + C gd) \cdot (\frac{1}{\frac{1}{R L} + \frac{1}{R out}})}

f_3dB - 3 dB Frequency?C_t - Capacitance?C_gd - Gate to Drain Capacitance?R_L - Load Resistance?R_out - Output Resistance?π - Archimedes' constant?

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

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Here is how the 3-DB Frequency in Design Insight and Trade-Off equation looks like with Values.

Here is how the 3-DB Frequency in Design Insight and Trade-Off equation looks like with Units.

Here is how the 3-DB Frequency in Design Insight and Trade-Off equation looks like.

50.1549 = \frac{1}{2 \cdot 3.1416 \cdot (2.889 + 1.345) \cdot (\frac{1}{\frac{1}{1.49} + \frac{1}{1.508}})}

50.1549Hz = \frac{1}{2 \cdot 3.1416 \cdot (2.889μF + 1.345μF) \cdot (\frac{1}{\frac{1}{1.49kΩ} + \frac{1}{1.508kΩ}})}

50.1549 = \frac{1}{2 \cdot 3.1416 \cdot (2.889 + 1.345) \cdot (\frac{1}{\frac{1}{1.49} + \frac{1}{1.508}})}

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

Follow our step by step solution on how to calculate 3-DB Frequency in Design Insight and Trade-Off?

FIRST Step Consider the formula

f 3dB = \frac{1}{2 \cdot π \cdot (C t + C gd) \cdot (\frac{1}{\frac{1}{R L} + \frac{1}{R out}})}

Next Step Substitute values of Variables

∴

f 3dB = \frac{1}{2 \cdot π \cdot (2.889μF + 1.345μF) \cdot (\frac{1}{\frac{1}{1.49kΩ} + \frac{1}{1.508kΩ}})}

Next Step Substitute values of Constants

∴

f 3dB = \frac{1}{2 \cdot 3.1416 \cdot (2.889μF + 1.345μF) \cdot (\frac{1}{\frac{1}{1.49kΩ} + \frac{1}{1.508kΩ}})}

Next Step Convert Units

∴

f 3dB = \frac{1}{2 \cdot 3.1416 \cdot (2.9E-6F + 1.3E-6F) \cdot (\frac{1}{\frac{1}{1490Ω} + \frac{1}{1508Ω}})}

Next Step Prepare to Evaluate

∴

f 3dB = \frac{1}{2 \cdot 3.1416 \cdot (2.9E-6 + 1.3E-6) \cdot (\frac{1}{\frac{1}{1490} + \frac{1}{1508}})}

Next Step Evaluate

∴

f 3dB = 50.1548916483618Hz

LAST Step Rounding Answer

∴

f 3dB = 50.1549Hz

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

Variables

Constants

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

Capacitance

Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.

Symbol: C_t

Measurement: CapacitanceUnit: μF

Note: Value should be greater than 0.

Formulas to find Capacitance

Gate to Drain Capacitance

Gate to Drain Capacitance is defined as the capacitance that is observed between the gate and drain of the Junction of MOSFET.

Symbol: C_gd

Measurement: CapacitanceUnit: μF

Note: Value should be greater than 0.

Formulas to find Gate to Drain Capacitance

Load Resistance

Load resistance is the cumulative resistance of a circuit, as seen by the voltage, current, or power source driving that circuit.

Symbol: R_L

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Load Resistance

Output Resistance

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.

Symbol: R_out

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Output Resistance

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Response of Cascode Amplifier category

Go Amplifier Gain given Function of Complex Frequency Variable

A m = A mid \cdot K

Go Drain Resistance in Cascode Amplifier

R d = \frac{1}{\frac{1}{R in} + \frac{1}{R t}}

Go Gain Bandwidth Product

GB = \frac{g m \cdot R L}{2 \cdot π \cdot R L \cdot (C t + C gd)}

Go Gain Factor

K = \frac{A m}{A mid}

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

3-DB Frequency in Design Insight and Trade-Off evaluator uses 3 dB Frequency = 1/(2*pi*(Capacitance+Gate to Drain Capacitance)*(1/(1/Load Resistance+1/Output Resistance))) to evaluate 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 evaluate 3-DB Frequency in Design Insight and Trade-Off using this online evaluator? To use this online evaluator 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.

FAQs on 3-DB Frequency in Design Insight and Trade-Off

What is the formula to find 3-DB Frequency in Design Insight and Trade-Off?

The formula of 3-DB Frequency in Design Insight and Trade-Off is expressed as 3 dB Frequency = 1/(2*pi*(Capacitance+Gate to Drain Capacitance)*(1/(1/Load Resistance+1/Output Resistance))). Here is an example- 50.15489 = 1/(2*pi*(2.889E-06+1.345E-06)*(1/(1/1490+1/1508))).

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

With Capacitance (C_t), Gate to Drain Capacitance (C_gd), Load Resistance (R_L) & Output Resistance (R_out) we can find 3-DB Frequency in Design Insight and Trade-Off using the formula - 3 dB Frequency = 1/(2*pi*(Capacitance+Gate to Drain Capacitance)*(1/(1/Load Resistance+1/Output Resistance))). This formula also uses Archimedes' constant .

Can the 3-DB Frequency in Design Insight and Trade-Off be negative?

No, the 3-DB Frequency in Design Insight and Trade-Off, measured in Frequency cannot be negative.

Which unit is used to measure 3-DB Frequency in Design Insight and Trade-Off?

3-DB Frequency in Design Insight and Trade-Off 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 in Design Insight and Trade-Off can be measured.

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

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

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

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

Other formulas in Response of Cascode Amplifier category

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

FAQs on 3-DB Frequency in Design Insight and Trade-Off

Variable Name