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Photo Current Generated to Incident Optical Power Formula

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Photo Current Generated to Incident Optical Power is the electrical current produced by a photodetector and the optical power of the incident light that interacts with the photodetector. Check FAQs

I = R m \cdot P m + \sum (x, 1, N, R n \cdot T mn \cdot P n)

I - Photo Current Generated to Incident Optical Power?R_m - Photodetector Responsivity for Channel M?P_m - Power of Mth Channel?N - Number of Channels?R_n - Photodetector Responsivity for Channel N?T_mn - Filter Transmittivity for Channel N?P_n - Power in Nth Channel?

Photo Current Generated to Incident Optical Power Example

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Here is how the Photo Current Generated to Incident Optical Power equation looks like with Values.

Here is how the Photo Current Generated to Incident Optical Power equation looks like with Units.

Here is how the Photo Current Generated to Incident Optical Power equation looks like.

433.07 = 7.7 \cdot 5.5 + \sum (x, 1, 8, 3.7 \cdot 2 \cdot 6.6)

433.07A = 7.7A/W \cdot 5.5W + \sum (x, 1, 8, 3.7A/W \cdot 2 \cdot 6.6W)

433.07 = 7.7 \cdot 5.5 + \sum (x, 1, 8, 3.7 \cdot 2 \cdot 6.6)

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Photo Current Generated to Incident Optical Power Solution

Follow our step by step solution on how to calculate Photo Current Generated to Incident Optical Power?

FIRST Step Consider the formula

I = R m \cdot P m + \sum (x, 1, N, R n \cdot T mn \cdot P n)

Next Step Substitute values of Variables

∴

I = 7.7A/W \cdot 5.5W + \sum (x, 1, 8, 3.7A/W \cdot 2 \cdot 6.6W)

Next Step Prepare to Evaluate

∴

I = 7.7 \cdot 5.5 + \sum (x, 1, 8, 3.7 \cdot 2 \cdot 6.6)

LAST Step Evaluate

∴

I = 433.07A

Photo Current Generated to Incident Optical Power Formula Elements

Variables

Functions

Photo Current Generated to Incident Optical Power

Photo Current Generated to Incident Optical Power is the electrical current produced by a photodetector and the optical power of the incident light that interacts with the photodetector.

Symbol: I

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Photodetector Responsivity for Channel M

Photodetector Responsivity for Channel M is a measure of the effectiveness of the photodetector in converting incident optical power into an electrical signal in that particular channel.

Symbol: R_m

Measurement: ResponsivityUnit: A/W

Note: Value can be positive or negative.

Power of Mth Channel

Power of Mth Channel the optical power carried by the signal in the specific channel labeled as "m".

Symbol: P_m

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Number of Channels

Number of Channels refers to tunable optical filter is used to select a single channel among the N channels incident on it.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Photodetector Responsivity for Channel N

Photodetector Responsivity for Channel N measure of the effectiveness of the photodetector in converting incident optical power into an electrical signal in that particular channel.

Symbol: R_n

Measurement: ResponsivityUnit: A/W

Note: Value can be positive or negative.

Filter Transmittivity for Channel N

Filter Transmittivity for Channel N represents the fraction of incident light that passes through the filter when channel m is selected.

Symbol: T_mn

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Power in Nth Channel

Power in Nth Channel refers to the optical power carried by the signal in the specific channel labeled as "n".

Symbol: P_n

Measurement: PowerUnit: W

Note: Value can be positive or negative.

sum

Summation or sigma (∑) notation is a method used to write out a long sum in a concise way.

Syntax: sum(i, from, to, expr)

Credits

Creator Image

Created by Zaheer Sheik

Seshadri Rao Gudlavalleru Engineering College (SRGEC), Gudlavalleru

Zaheer Sheik has created this Formula and 25+ more formulas!

Verifier Image

Verified by Banu Prakash

Dayananda Sagar College of Engineering (DSCE), Bangalore

Banu Prakash has verified this Formula and 25+ more formulas!

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How to Evaluate Photo Current Generated to Incident Optical Power?

Photo Current Generated to Incident Optical Power evaluator uses Photo Current Generated to Incident Optical Power = Photodetector Responsivity for Channel M*Power of Mth Channel+sum(x,1,Number of Channels,Photodetector Responsivity for Channel N*Filter Transmittivity for Channel N*Power in Nth Channel) to evaluate the Photo Current Generated to Incident Optical Power, The Photo Current Generated to Incident Optical Power refers to the relationship between the electrical current produced by a photodetector and the optical power of the incident light that interacts with the photodetector. It describes how effectively the photodetector converts incoming light energy into an electrical signal. Photo Current Generated to Incident Optical Power is denoted by I symbol.

How to evaluate Photo Current Generated to Incident Optical Power using this online evaluator? To use this online evaluator for Photo Current Generated to Incident Optical Power, enter Photodetector Responsivity for Channel M (R_m), Power of Mth Channel (P_m), Number of Channels (N), Photodetector Responsivity for Channel N (R_n), Filter Transmittivity for Channel N (T_mn) & Power in Nth Channel (P_n) and hit the calculate button.

FAQs on Photo Current Generated to Incident Optical Power

What is the formula to find Photo Current Generated to Incident Optical Power?

The formula of Photo Current Generated to Incident Optical Power is expressed as Photo Current Generated to Incident Optical Power = Photodetector Responsivity for Channel M*Power of Mth Channel+sum(x,1,Number of Channels,Photodetector Responsivity for Channel N*Filter Transmittivity for Channel N*Power in Nth Channel). Here is an example- 433.07 = 7.7*5.5+sum(x,1,8,3.7*2*6.6).

How to calculate Photo Current Generated to Incident Optical Power?

With Photodetector Responsivity for Channel M (R_m), Power of Mth Channel (P_m), Number of Channels (N), Photodetector Responsivity for Channel N (R_n), Filter Transmittivity for Channel N (T_mn) & Power in Nth Channel (P_n) we can find Photo Current Generated to Incident Optical Power using the formula - Photo Current Generated to Incident Optical Power = Photodetector Responsivity for Channel M*Power of Mth Channel+sum(x,1,Number of Channels,Photodetector Responsivity for Channel N*Filter Transmittivity for Channel N*Power in Nth Channel). This formula also uses Summation Notation (sum) function(s).

Can the Photo Current Generated to Incident Optical Power be negative?

Yes, the Photo Current Generated to Incident Optical Power, measured in Electric Current can be negative.

Which unit is used to measure Photo Current Generated to Incident Optical Power?

Photo Current Generated to Incident Optical Power is usually measured using the Ampere[A] for Electric Current. Milliampere[A], Microampere[A], Centiampere[A] are the few other units in which Photo Current Generated to Incident Optical Power can be measured.

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