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Relative Phase given coefficients Formula

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Relative Phase refers to the phase difference between two oscillating quantities or waveforms. Check FAQs

ε v = a \tanh (\frac{b n}{a n})

ε_v - Relative Phase?b_n - Coefficient of Wave Component Amplitude bn?a_n - Coefficient of Wave Component Amplitude?

Relative Phase given coefficients Example

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Here is how the Relative Phase given coefficients equation looks like with Values.

Here is how the Relative Phase given coefficients equation looks like with Units.

Here is how the Relative Phase given coefficients equation looks like.

0.1682 = a \tanh (\frac{0.1}{0.6})

0.1682 = a \tanh (\frac{0.1}{0.6})

0.1682 = a \tanh (\frac{0.1}{0.6})

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Relative Phase given coefficients Solution

Follow our step by step solution on how to calculate Relative Phase given coefficients?

FIRST Step Consider the formula

ε v = a \tanh (\frac{b n}{a n})

Next Step Substitute values of Variables

∴

ε v = a \tanh (\frac{0.1}{0.6})

Next Step Prepare to Evaluate

∴

ε v = a \tanh (\frac{0.1}{0.6})

Next Step Evaluate

∴

ε v = 0.168236118310607

LAST Step Rounding Answer

∴

ε v = 0.1682

Relative Phase given coefficients Formula Elements

Variables

Functions

Relative Phase

Relative Phase refers to the phase difference between two oscillating quantities or waveforms.

Symbol: ε_v

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Relative Phase

Coefficient of Wave Component Amplitude bn

Coefficient of Wave Component Amplitude bn of wave profile time trace written as an infinite sum of sinusoids of amplitude.

Symbol: b_n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Coefficient of Wave Component Amplitude bn

Coefficient of Wave Component Amplitude

Coefficient of Wave Component Amplitude of wave profile time trace written as an infinite sum of sinusoids of amplitude.

Symbol: a_n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Coefficient of Wave Component Amplitude

tanh

The hyperbolic tangent function (tanh) is a function that is defined as the ratio of the hyperbolic sine function (sinh) to the hyperbolic cosine function (cosh).

Syntax: tanh(Number)

atanh

The inverse hyperbolic tangent function returns the value whose hyperbolic tangent is a number.

Syntax: atanh(Number)

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How to Evaluate Relative Phase given coefficients?

Relative Phase given coefficients evaluator uses Relative Phase = atanh(Coefficient of Wave Component Amplitude bn/Coefficient of Wave Component Amplitude) to evaluate the Relative Phase, The Relative Phase given coefficients formula is defined as the another waveform of the exact same constant frequency. Relative Phase is denoted by ε_v symbol.

How to evaluate Relative Phase given coefficients using this online evaluator? To use this online evaluator for Relative Phase given coefficients, enter Coefficient of Wave Component Amplitude bn (b_n) & Coefficient of Wave Component Amplitude (a_n) and hit the calculate button.

FAQs on Relative Phase given coefficients

What is the formula to find Relative Phase given coefficients?

The formula of Relative Phase given coefficients is expressed as Relative Phase = atanh(Coefficient of Wave Component Amplitude bn/Coefficient of Wave Component Amplitude). Here is an example- 0.168236 = atanh(0.1/0.6).

How to calculate Relative Phase given coefficients?

With Coefficient of Wave Component Amplitude bn (b_n) & Coefficient of Wave Component Amplitude (a_n) we can find Relative Phase given coefficients using the formula - Relative Phase = atanh(Coefficient of Wave Component Amplitude bn/Coefficient of Wave Component Amplitude). This formula also uses Hyperbolic Tangent (tanh), Inverse Hyperbolic Tangent (atanh) function(s).

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Relative Phase given coefficients Formula

Relative Phase given coefficients Example

Relative Phase given coefficients Solution

Relative Phase given coefficients Formula Elements

Other formulas in Wave Period Distribution and Wave Spectrum category

How to Evaluate Relative Phase given coefficients?

FAQs on Relative Phase given coefficients

Variable Name