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Electrostatic Potential Energy between pair of Ions Formula

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The Electrostatic Potential Energy between Ion Pair is the electrostatic potential energy between a pair of ions of equal and opposite charge. Check FAQs

E Pair = \frac{- (q^{2}) \cdot ({[Charge-e]}^{2})}{4 \cdot π \cdot [Permitivity-vacuum] \cdot r 0}

E_Pair - Electrostatic Potential Energy between Ion Pair?q - Charge?r₀ - Distance of Closest Approach?[Charge-e] - Charge of electron?[Permitivity-vacuum] - Permittivity of vacuum?π - Archimedes' constant?

Electrostatic Potential Energy between pair of Ions Example

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Here is how the Electrostatic Potential Energy between pair of Ions equation looks like with Values.

Here is how the Electrostatic Potential Energy between pair of Ions equation looks like with Units.

Here is how the Electrostatic Potential Energy between pair of Ions equation looks like.

-3.5E-21 = \frac{- ({0.3}^{2}) \cdot ({1.6E-19}^{2})}{4 \cdot 3.1416 \cdot 8.9E-12 \cdot 60}

-3.5E-21J = \frac{- ({0.3C}^{2}) \cdot ({1.6E-19C}^{2})}{4 \cdot 3.1416 \cdot 8.9E-12F/m \cdot 60A}

-3.5E-21 = \frac{- ({0.3}^{2}) \cdot ({1.6E-19}^{2})}{4 \cdot 3.1416 \cdot 8.9E-12 \cdot 60}

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Electrostatic Potential Energy between pair of Ions Solution

Follow our step by step solution on how to calculate Electrostatic Potential Energy between pair of Ions?

FIRST Step Consider the formula

E Pair = \frac{- (q^{2}) \cdot ({[Charge-e]}^{2})}{4 \cdot π \cdot [Permitivity-vacuum] \cdot r 0}

Next Step Substitute values of Variables

∴

E Pair = \frac{- ({0.3C}^{2}) \cdot ({[Charge-e]}^{2})}{4 \cdot π \cdot [Permitivity-vacuum] \cdot 60A}

Next Step Substitute values of Constants

∴

E Pair = \frac{- ({0.3C}^{2}) \cdot ({1.6E-19C}^{2})}{4 \cdot 3.1416 \cdot 8.9E-12F/m \cdot 60A}

Next Step Convert Units

∴

E Pair = \frac{- ({0.3C}^{2}) \cdot ({1.6E-19C}^{2})}{4 \cdot 3.1416 \cdot 8.9E-12F/m \cdot 6E-9m}

Next Step Prepare to Evaluate

∴

E Pair = \frac{- ({0.3}^{2}) \cdot ({1.6E-19}^{2})}{4 \cdot 3.1416 \cdot 8.9E-12 \cdot 6E-9}

Next Step Evaluate

∴

E Pair = -3.46225382883671E-21J

LAST Step Rounding Answer

∴

E Pair = -3.5E-21J

Electrostatic Potential Energy between pair of Ions Formula Elements

Variables

Constants

Electrostatic Potential Energy between Ion Pair

The Electrostatic Potential Energy between Ion Pair is the electrostatic potential energy between a pair of ions of equal and opposite charge.

Symbol: E_Pair

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Electrostatic Potential Energy between Ion Pair

Charge

A Charge is the fundamental property of forms of matter that exhibit electrostatic attraction or repulsion in the presence of other matter.

Symbol: q

Measurement: Electric ChargeUnit: C

Note: Value can be positive or negative.

Formulas to find Charge

Distance of Closest Approach

Distance of Closest Approach is the distance to which an alpha particle comes closer to the nucleus.

Symbol: r₀

Measurement: LengthUnit: A

Note: Value can be positive or negative.

Formulas to find Distance of Closest Approach

Charge of electron

Charge of electron is a fundamental physical constant, representing the electric charge carried by an electron, which is the elementary particle with a negative electric charge.

Symbol: [Charge-e]

Value: 1.60217662E-19 C

Permittivity of vacuum

Permittivity of vacuum is a fundamental physical constant that describes the ability of a vacuum to permit the transmission of electric field lines.

Symbol: [Permitivity-vacuum]

Value: 8.85E-12 F/m

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Lattice Energy category

Go Lattice Energy using Born Lande Equation

U = - \frac{[Avaga-no] \cdot M \cdot z + \cdot z - \cdot ({[Charge-e]}^{2}) \cdot (1 - (\frac{1}{n born}))}{4 \cdot π \cdot [Permitivity-vacuum] \cdot r 0}

Go Born Exponent using Born Lande Equation

n born = \frac{1}{1 - \frac{- U \cdot 4 \cdot π \cdot [Permitivity-vacuum] \cdot r 0}{[Avaga-no] \cdot M \cdot ({[Charge-e]}^{2}) \cdot z + \cdot z -}}

Go Repulsive Interaction

E R = \frac{B}{{r 0}^{n born}}

Go Repulsive Interaction Constant

B = E R \cdot ({r 0}^{n born})

How to Evaluate Electrostatic Potential Energy between pair of Ions?

Electrostatic Potential Energy between pair of Ions evaluator uses Electrostatic Potential Energy between Ion Pair = (-(Charge^2)*([Charge-e]^2))/(4*pi*[Permitivity-vacuum]*Distance of Closest Approach) to evaluate the Electrostatic Potential Energy between Ion Pair, The Electrostatic potential energy between pair of ions is the electrostatic potential energy between a pair of ions of equal and opposite charge. Electrostatic Potential Energy between Ion Pair is denoted by E_Pair symbol.

How to evaluate Electrostatic Potential Energy between pair of Ions using this online evaluator? To use this online evaluator for Electrostatic Potential Energy between pair of Ions, enter Charge (q) & Distance of Closest Approach (r₀) and hit the calculate button.

FAQs on Electrostatic Potential Energy between pair of Ions

What is the formula to find Electrostatic Potential Energy between pair of Ions?

The formula of Electrostatic Potential Energy between pair of Ions is expressed as Electrostatic Potential Energy between Ion Pair = (-(Charge^2)*([Charge-e]^2))/(4*pi*[Permitivity-vacuum]*Distance of Closest Approach). Here is an example- -3.5E-21 = (-(0.3^2)*([Charge-e]^2))/(4*pi*[Permitivity-vacuum]*6E-09).

How to calculate Electrostatic Potential Energy between pair of Ions?

With Charge (q) & Distance of Closest Approach (r₀) we can find Electrostatic Potential Energy between pair of Ions using the formula - Electrostatic Potential Energy between Ion Pair = (-(Charge^2)*([Charge-e]^2))/(4*pi*[Permitivity-vacuum]*Distance of Closest Approach). This formula also uses Charge of electron, Permittivity of vacuum, Archimedes' constant .

Can the Electrostatic Potential Energy between pair of Ions be negative?

Yes, the Electrostatic Potential Energy between pair of Ions, measured in Energy can be negative.

Which unit is used to measure Electrostatic Potential Energy between pair of Ions?

Electrostatic Potential Energy between pair of Ions is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Electrostatic Potential Energy between pair of Ions can be measured.

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Electrostatic Potential Energy between pair of Ions Formula

Electrostatic Potential Energy between pair of Ions Example

Electrostatic Potential Energy between pair of Ions Solution

Electrostatic Potential Energy between pair of Ions Formula Elements

Other formulas in Lattice Energy category

How to Evaluate Electrostatic Potential Energy between pair of Ions?

FAQs on Electrostatic Potential Energy between pair of Ions

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