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Thermal Noise Current Formula

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Thermal Noise Current is a random electrical current that arises due to the thermal motion of charge carriers (usually electrons) within a conductor. Check FAQs

i t = 4 \cdot [BoltZ] \cdot T \cdot \frac{B}{R e}

i_t - Thermal Noise Current?T - Absolute Temperature?B - Post Detection Bandwidth?R_e - Resistivity?[BoltZ] - Boltzmann constant?

Thermal Noise Current Example

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Here is how the Thermal Noise Current equation looks like with Values.

Here is how the Thermal Noise Current equation looks like with Units.

Here is how the Thermal Noise Current equation looks like.

4.9E-16 = 4 \cdot 1.4E-23 \cdot 19 \cdot \frac{8E+6}{17}

4.9E-16A = 4 \cdot 1.4E-23J/K \cdot 19K \cdot \frac{8E+6Hz}{17Ω}

4.9E-16 = 4 \cdot 1.4E-23 \cdot 19 \cdot \frac{8E+6}{17}

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Thermal Noise Current Solution

Follow our step by step solution on how to calculate Thermal Noise Current?

FIRST Step Consider the formula

i t = 4 \cdot [BoltZ] \cdot T \cdot \frac{B}{R e}

Next Step Substitute values of Variables

∴

i t = 4 \cdot [BoltZ] \cdot 19K \cdot \frac{8E+6Hz}{17Ω}

Next Step Substitute values of Constants

∴

i t = 4 \cdot 1.4E-23J/K \cdot 19K \cdot \frac{8E+6Hz}{17Ω}

Next Step Prepare to Evaluate

∴

i t = 4 \cdot 1.4E-23 \cdot 19 \cdot \frac{8E+6}{17}

Next Step Evaluate

∴

i t = 4.93784882447059E-16A

LAST Step Rounding Answer

∴

i t = 4.9E-16A

Thermal Noise Current Formula Elements

Variables

Constants

Thermal Noise Current

Thermal Noise Current is a random electrical current that arises due to the thermal motion of charge carriers (usually electrons) within a conductor.

Symbol: i_t

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Thermal Noise Current

Absolute Temperature

Absolute temperature, often denoted as "T" or "T_absolute," is a temperature scale that starts from absolute zero, the lowest possible temperature where all molecular motion ceases.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Absolute Temperature

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

Resistivity

Resistivity of an optical material, often referred to as the electrical resistivity, quantifies how strongly a material opposes the flow of electric current.

Symbol: R_e

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Resistivity

Boltzmann constant

Boltzmann constant relates the average kinetic energy of particles in a gas with the temperature of the gas and is a fundamental constant in statistical mechanics and thermodynamics.

Symbol: [BoltZ]

Value: 1.38064852E-23 J/K

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How to Evaluate Thermal Noise Current?

Thermal Noise Current evaluator uses Thermal Noise Current = 4*[BoltZ]*Absolute Temperature*Post Detection Bandwidth/Resistivity to evaluate the Thermal Noise Current, Thermal noise current is the RMS value which gives you an indication of the magnitude of the random electrical fluctuations due to thermal motion in a resistor or conductor over a specified bandwidth (B) at a given temperature (T). Thermal Noise Current is denoted by i_t symbol.

How to evaluate Thermal Noise Current using this online evaluator? To use this online evaluator for Thermal Noise Current, enter Absolute Temperature (T), Post Detection Bandwidth (B) & Resistivity (R_e) and hit the calculate button.

FAQs on Thermal Noise Current

What is the formula to find Thermal Noise Current?

The formula of Thermal Noise Current is expressed as Thermal Noise Current = 4*[BoltZ]*Absolute Temperature*Post Detection Bandwidth/Resistivity. Here is an example- 1.3E-21 = 4*[BoltZ]*19*8000000/17.

How to calculate Thermal Noise Current?

With Absolute Temperature (T), Post Detection Bandwidth (B) & Resistivity (R_e) we can find Thermal Noise Current using the formula - Thermal Noise Current = 4*[BoltZ]*Absolute Temperature*Post Detection Bandwidth/Resistivity. This formula also uses Boltzmann constant .

Can the Thermal Noise Current be negative?

No, the Thermal Noise Current, measured in Electric Current cannot be negative.

Which unit is used to measure Thermal Noise Current?

Thermal Noise Current is usually measured using the Ampere[A] for Electric Current. Milliampere[A], Microampere[A], Centiampere[A] are the few other units in which Thermal Noise Current can be measured.

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Thermal Noise Current Formula

Thermal Noise Current Example

Thermal Noise Current Solution

Thermal Noise Current Formula Elements

Other formulas in C V Actions of Optics Transmission category

How to Evaluate Thermal Noise Current?

FAQs on Thermal Noise Current

Variable Name