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Area of Detector Formula

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Detector Area refers to the surface area of a sensor or detector that is exposed to incoming signals or particles. It influences the detection efficiency and sensitivity of the device. Check FAQs

A = \frac{{D n}^{2}}{{D t}^{2} \cdot Δf}

A - Detector Area?D_n - Normalized Detectivity?D_t - Transducer Detectivity?Δf - Noise Equivalent Bandwidth?

Area of Detector Example

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Here is how the Area of Detector equation looks like with Values.

Here is how the Area of Detector equation looks like with Units.

Here is how the Area of Detector equation looks like.

4.2314 = \frac{2^{2}}{{1.375}^{2} \cdot 0.5}

4.2314m² = \frac{2^{2}}{{1.375}^{2} \cdot 0.5Hz}

4.2314 = \frac{2^{2}}{{1.375}^{2} \cdot 0.5}

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Area of Detector Solution

Follow our step by step solution on how to calculate Area of Detector?

FIRST Step Consider the formula

A = \frac{{D n}^{2}}{{D t}^{2} \cdot Δf}

Next Step Substitute values of Variables

∴

A = \frac{2^{2}}{{1.375}^{2} \cdot 0.5Hz}

Next Step Prepare to Evaluate

∴

A = \frac{2^{2}}{{1.375}^{2} \cdot 0.5}

Next Step Evaluate

∴

A = 4.23140495867769m²

LAST Step Rounding Answer

∴

A = 4.2314m²

Area of Detector Formula Elements

Variables

Detector Area

Detector Area refers to the surface area of a sensor or detector that is exposed to incoming signals or particles. It influences the detection efficiency and sensitivity of the device.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Detector Area

Normalized Detectivity

Normalized Detectivity is used to evaluate the performance of a photodetector. It combines sensitivity and noise characteristics, providing a measure of detection capability across different devices.

Symbol: D_n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Normalized Detectivity

Transducer Detectivity

Transducer Detectivity is the detectivity normalized to a unit detector area and detection bandwidth.

Symbol: D_t

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Transducer Detectivity

Noise Equivalent Bandwidth

Noise Equivalent Bandwidth represents the bandwidth of an ideal filter that would pass the same noise power as the transducer, affecting its signal-to-noise ratio.

Symbol: Δf

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Noise Equivalent Bandwidth

Other formulas in Transducers category

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ΔR = ΔH \cdot ΔS

Go Current Generator Capacitance

C g = C t + C amp + C cable

Go Capacitance of Transducer

C t = C g - (C amp + C cable)

How to Evaluate Area of Detector?

Area of Detector evaluator uses Detector Area = Normalized Detectivity^2/(Transducer Detectivity^2*Noise Equivalent Bandwidth) to evaluate the Detector Area, The Area of Detector formula is defined as the total area to which the detector can influence the value. Detector Area is denoted by A symbol.

How to evaluate Area of Detector using this online evaluator? To use this online evaluator for Area of Detector, enter Normalized Detectivity (D_n), Transducer Detectivity (D_t) & Noise Equivalent Bandwidth (Δf) and hit the calculate button.

FAQs on Area of Detector

What is the formula to find Area of Detector?

The formula of Area of Detector is expressed as Detector Area = Normalized Detectivity^2/(Transducer Detectivity^2*Noise Equivalent Bandwidth). Here is an example- 4.231405 = 2^2/(1.375^2*0.5).

How to calculate Area of Detector?

With Normalized Detectivity (D_n), Transducer Detectivity (D_t) & Noise Equivalent Bandwidth (Δf) we can find Area of Detector using the formula - Detector Area = Normalized Detectivity^2/(Transducer Detectivity^2*Noise Equivalent Bandwidth).

Can the Area of Detector be negative?

No, the Area of Detector, measured in Area cannot be negative.

Which unit is used to measure Area of Detector?

Area of Detector is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Detector can be measured.

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Area of Detector Formula

Area of Detector Example

Area of Detector Solution

Area of Detector Formula Elements

Other formulas in Transducers category

How to Evaluate Area of Detector?

FAQs on Area of Detector

Variable Name