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Bandwidth Penalty Formula

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Post Detection Bandwidth refers to the bandwidth of the electrical signal after it has been detected and converted from an optical signal. Check FAQs

B = \frac{1}{2 \cdot π \cdot R L \cdot C}

B - Post Detection Bandwidth?R_L - Load Resistance?C - Capacitance?π - Archimedes' constant?

Bandwidth Penalty Example

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Here is how the Bandwidth Penalty equation looks like with Values.

Here is how the Bandwidth Penalty equation looks like with Units.

Here is how the Bandwidth Penalty equation looks like.

8E+6 = \frac{1}{2 \cdot 3.1416 \cdot 3.31 \cdot 6.01}

8E+6Hz = \frac{1}{2 \cdot 3.1416 \cdot 3.31kΩ \cdot 6.01pF}

8E+6 = \frac{1}{2 \cdot 3.1416 \cdot 3.31 \cdot 6.01}

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Bandwidth Penalty Solution

Follow our step by step solution on how to calculate Bandwidth Penalty?

FIRST Step Consider the formula

B = \frac{1}{2 \cdot π \cdot R L \cdot C}

Next Step Substitute values of Variables

∴

B = \frac{1}{2 \cdot π \cdot 3.31kΩ \cdot 6.01pF}

Next Step Substitute values of Constants

∴

B = \frac{1}{2 \cdot 3.1416 \cdot 3.31kΩ \cdot 6.01pF}

Next Step Convert Units

∴

B = \frac{1}{2 \cdot 3.1416 \cdot 3310Ω \cdot 6E-12F}

Next Step Prepare to Evaluate

∴

B = \frac{1}{2 \cdot 3.1416 \cdot 3310 \cdot 6E-12}

Next Step Evaluate

∴

B = 8000509.87990285Hz

LAST Step Rounding Answer

∴

B = 8E+6Hz

Bandwidth Penalty Formula Elements

Variables

Constants

Post Detection Bandwidth

Post Detection Bandwidth refers to the bandwidth of the electrical signal after it has been detected and converted from an optical signal.

Symbol: B

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Post Detection Bandwidth

Load Resistance

Load resistance refers to the resistance that is connected to the output of an electronic component or circuit.

Symbol: R_L

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Load Resistance

Capacitance

Capacitance of a photodiode refers to its ability to store electrical charge when subjected to an applied voltage or when exposed to light.

Symbol: C

Measurement: CapacitanceUnit: pF

Note: Value should be greater than 0.

Formulas to find Capacitance

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

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How to Evaluate Bandwidth Penalty?

Bandwidth Penalty evaluator uses Post Detection Bandwidth = 1/(2*pi*Load Resistance*Capacitance) to evaluate the Post Detection Bandwidth, Bandwidth Penalty of a photodiode is the reduction in the available bandwidth or frequency response of an optical communication system or photodetection system due to the characteristics and limitations of the photodiode itself. Post Detection Bandwidth is denoted by B symbol.

How to evaluate Bandwidth Penalty using this online evaluator? To use this online evaluator for Bandwidth Penalty, enter Load Resistance (R_L) & Capacitance (C) and hit the calculate button.

FAQs on Bandwidth Penalty

What is the formula to find Bandwidth Penalty?

The formula of Bandwidth Penalty is expressed as Post Detection Bandwidth = 1/(2*pi*Load Resistance*Capacitance). Here is an example- 8E+6 = 1/(2*pi*3310*6.01E-12).

How to calculate Bandwidth Penalty?

With Load Resistance (R_L) & Capacitance (C) we can find Bandwidth Penalty using the formula - Post Detection Bandwidth = 1/(2*pi*Load Resistance*Capacitance). This formula also uses Archimedes' constant .

Can the Bandwidth Penalty be negative?

No, the Bandwidth Penalty, measured in Frequency cannot be negative.

Which unit is used to measure Bandwidth Penalty?

Bandwidth Penalty is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Bandwidth Penalty can be measured.

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Bandwidth Penalty Formula

Bandwidth Penalty Example

Bandwidth Penalty Solution

Bandwidth Penalty Formula Elements

Other formulas in Optical Detectors category

How to Evaluate Bandwidth Penalty?

FAQs on Bandwidth Penalty

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