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Slope of Equipotential Line Formula

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Slope of Equipotential Line is slope of line having same potential in fluid flow. Check FAQs

Φ = \frac{u}{v}

Φ - Slope of Equipotential Line?u - Component of Velocity in X Direction?v - Component of Velocity in Y Direction?

Slope of Equipotential Line Example

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With units

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Here is how the Slope of Equipotential Line equation looks like with Values.

Here is how the Slope of Equipotential Line equation looks like with Units.

Here is how the Slope of Equipotential Line equation looks like.

0.8 = \frac{8}{10}

0.8 = \frac{8m/s}{10m/s}

0.8 = \frac{8}{10}

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Slope of Equipotential Line Solution

Follow our step by step solution on how to calculate Slope of Equipotential Line?

FIRST Step Consider the formula

Φ = \frac{u}{v}

Next Step Substitute values of Variables

∴

Φ = \frac{8m/s}{10m/s}

Next Step Prepare to Evaluate

∴

Φ = \frac{8}{10}

LAST Step Evaluate

∴

Φ = 0.8

Slope of Equipotential Line Formula Elements

Variables

Slope of Equipotential Line

Slope of Equipotential Line is slope of line having same potential in fluid flow.

Symbol: Φ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Slope of Equipotential Line

Component of Velocity in X Direction

Component of Velocity in X Direction is velocity in horizontal direction.

Symbol: u

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Component of Velocity in X Direction

Component of Velocity in Y Direction

Component of Velocity in Y Direction is velocity in Vertical direction.

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Component of Velocity in Y Direction

Other formulas in Streamlines, Equipotential Lines and Flow Net category

Go Component of Velocity in Y Direction given Slope of Equipotential Line

v = \frac{u}{Φ}

Go Component of Velocity in X Direction given Slope of Equipotential Line

u = v \cdot Φ

Go Slope of Streamline

θ = \arctan (\frac{v}{u}) \cdot (\frac{180}{π})

Go Component of Velocity in X Direction using Slope of Streamline

u = \frac{v}{\tan (\frac{π}{180} \cdot θ)}

How to Evaluate Slope of Equipotential Line?

Slope of Equipotential Line evaluator uses Slope of Equipotential Line = Component of Velocity in X Direction/Component of Velocity in Y Direction to evaluate the Slope of Equipotential Line, The Slope of Equipotential Line formula is defined as slope of potential function where it is constant in the plane. Slope of Equipotential Line is denoted by Φ symbol.

How to evaluate Slope of Equipotential Line using this online evaluator? To use this online evaluator for Slope of Equipotential Line, enter Component of Velocity in X Direction (u) & Component of Velocity in Y Direction (v) and hit the calculate button.

FAQs on Slope of Equipotential Line

What is the formula to find Slope of Equipotential Line?

The formula of Slope of Equipotential Line is expressed as Slope of Equipotential Line = Component of Velocity in X Direction/Component of Velocity in Y Direction. Here is an example- 0.8 = 8/10.

How to calculate Slope of Equipotential Line?

With Component of Velocity in X Direction (u) & Component of Velocity in Y Direction (v) we can find Slope of Equipotential Line using the formula - Slope of Equipotential Line = Component of Velocity in X Direction/Component of Velocity in Y Direction.

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