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Sensitivity Formula

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Sensitivity of an instrument is the ratio of the change in output (or response) of the instrument to the change in input or measured variable. Check FAQs

S = \frac{Q out}{Q in}

S - Sensitivity?Q_out - Output Response Magnitude?Q_in - Input Response Magnitude?

Sensitivity Example

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With units

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Here is how the Sensitivity equation looks like with Values.

Here is how the Sensitivity equation looks like with Units.

Here is how the Sensitivity equation looks like.

3.7674 = \frac{8.1}{2.15}

3.7674 = \frac{8.1}{2.15}

3.7674 = \frac{8.1}{2.15}

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Sensitivity Solution

Follow our step by step solution on how to calculate Sensitivity?

FIRST Step Consider the formula

S = \frac{Q out}{Q in}

Next Step Substitute values of Variables

∴

S = \frac{8.1}{2.15}

Next Step Prepare to Evaluate

∴

S = \frac{8.1}{2.15}

Next Step Evaluate

∴

S = 3.76744186046512

LAST Step Rounding Answer

∴

S = 3.7674

Sensitivity Formula Elements

Variables

Sensitivity

Sensitivity of an instrument is the ratio of the change in output (or response) of the instrument to the change in input or measured variable.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Sensitivity

Output Response Magnitude

Output Response Magnitude is defined as the output value of the instrument and its output response at maximum efficiency.

Symbol: Q_out

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Output Response Magnitude

Input Response Magnitude

Input Response Magnitude is defined as the input value of the instrument and its input response at the desirable condition.

Symbol: Q_in

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Input Response Magnitude

Other formulas in Instrument Characteristics category

Go Magnitude of Output Response

Q out = S \cdot Q in

Go Magnitude of Input

Q in = \frac{Q out}{S}

Go Inverse Sensitivity or Scale Factor

SF = \frac{1}{S}

Go Power Consumed at Full-Scale Reading

P fs = I fs \cdot E fs

How to Evaluate Sensitivity?

Sensitivity evaluator uses Sensitivity = Output Response Magnitude/Input Response Magnitude to evaluate the Sensitivity, The Sensitivity formula is defined as an absolute quantity, the smallest absolute amount of change that can be detected by a measurement. Sensitivity is denoted by S symbol.

How to evaluate Sensitivity using this online evaluator? To use this online evaluator for Sensitivity, enter Output Response Magnitude (Q_out) & Input Response Magnitude (Q_in) and hit the calculate button.

FAQs on Sensitivity

What is the formula to find Sensitivity?

The formula of Sensitivity is expressed as Sensitivity = Output Response Magnitude/Input Response Magnitude. Here is an example- 4.362791 = 8.1/2.15.

How to calculate Sensitivity?

With Output Response Magnitude (Q_out) & Input Response Magnitude (Q_in) we can find Sensitivity using the formula - Sensitivity = Output Response Magnitude/Input Response Magnitude.

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Sensitivity Formula

Sensitivity Example

Sensitivity Solution

Sensitivity Formula Elements

Other formulas in Instrument Characteristics category

How to Evaluate Sensitivity?

FAQs on Sensitivity

Variable Name