HCF of three numbers

Bandwidth Penalty Calculator

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Optical Detectors C V Actions of Optics Transmission Fiber Optic Parameters Transmission Measurements

✖Load resistance refers to the resistance that is connected to the output of an electronic component or circuit.ⓘ Load Resistance [R_L]			+10% -10%
✖Capacitance of a photodiode refers to its ability to store electrical charge when subjected to an applied voltage or when exposed to light.ⓘ Capacitance [C]			+10% -10%

✖Post Detection Bandwidth refers to the bandwidth of the electrical signal after it has been detected and converted from an optical signal.ⓘ Bandwidth Penalty [B]

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Formula

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Bandwidth Penalty

Formula

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

Example

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

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Bandwidth Penalty Solution

STEP 0: Pre-Calculation Summary

Formula Used

Post Detection Bandwidth = 1/(2*pi*Load Resistance*Capacitance)
B = 1/(2*pi*R_L*C)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Post Detection Bandwidth - (Measured in Hertz) - Post Detection Bandwidth refers to the bandwidth of the electrical signal after it has been detected and converted from an optical signal.
Load Resistance - (Measured in Ohm) - Load resistance refers to the resistance that is connected to the output of an electronic component or circuit.
Capacitance - (Measured in Farad) - Capacitance of a photodiode refers to its ability to store electrical charge when subjected to an applied voltage or when exposed to light.

STEP 1: Convert Input(s) to Base Unit

Load Resistance: 3.31 Kilohm --> 3310 Ohm (Check conversion here)
Capacitance: 6.01 Picofarad --> 6.01E-12 Farad (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B = 1/(2*pi*R_L*C) --> 1/(2*pi*3310*6.01E-12)

Evaluating ... ...

B = 8000509.87990285

STEP 3: Convert Result to Output's Unit

8000509.87990285 Hertz --> No Conversion Required

FINAL ANSWER

8000509.87990285 ≈ 8E+6 Hertz <-- Post Detection Bandwidth

(Calculation completed in 00.004 seconds)

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Created by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

Santhosh Yadav has created this Calculator and 50+ more calculators!

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CVR COLLEGE OF ENGINEERING (CVR), India

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< Optical Detectors Calculators

Incident Photon Rate

Go Incident Photon Rate = Incident Optical Power/([hP]*Frequency Of Light Wave)

Long Wavelength Cutoff Point

Go Wavelength Cutoff Point = [hP]*[c]/Bandgap Energy

Quantum Efficiency of Photodetector

Go Quantum Efficiency = Number of Electrons/Number of Incident Photons

Electron Rate in Detector

Go Electron Rate = Quantum Efficiency*Incident Photon Rate

Bandwidth Penalty Formula

Post Detection Bandwidth = 1/(2*pi*Load Resistance*Capacitance)
B = 1/(2*pi*R_L*C)

How is Bandwidth Penalty affected?

The bandwidth of a photodiode, or the bandwidth penalty it incurs, is influenced by several key factors. One of the primary determinants is the RC time constant of the photodiode circuit. This time constant is defined by the junction capacitance of the photodiode and the load resistance (RL) connected to it.

How to Calculate Bandwidth Penalty?

Bandwidth Penalty calculator uses Post Detection Bandwidth = 1/(2*pi*Load Resistance*Capacitance) to calculate 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 calculate Bandwidth Penalty using this online calculator? To use this online calculator for Bandwidth Penalty, enter Load Resistance (R_L) & Capacitance (C) and hit the calculate button. Here is how the Bandwidth Penalty calculation can be explained with given input values -> 8E+6 = 1/(2*pi*3310*6.01E-12).

FAQ

What is Bandwidth Penalty?

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 and is represented as B = 1/(2*pi*R_L*C) or Post Detection Bandwidth = 1/(2*pi*Load Resistance*Capacitance). Load resistance refers to the resistance that is connected to the output of an electronic component or circuit & Capacitance of a photodiode refers to its ability to store electrical charge when subjected to an applied voltage or when exposed to light.

How to calculate Bandwidth Penalty?

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 is calculated using Post Detection Bandwidth = 1/(2*pi*Load Resistance*Capacitance). To calculate Bandwidth Penalty, you need Load Resistance (R_L) & Capacitance (C). With our tool, you need to enter the respective value for Load Resistance & Capacitance 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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