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Electrostatic Potential Energy of Point Charge or System of Charges Formula

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Potential Energy of Point Charge is the energy an object has due to its position or configuration in an electrostatic field. Check FAQs

U free = \frac{[Coulomb] \cdot q 1 \cdot q 2}{r}

U_free - Potential Energy of Point Charge?q₁ - Charge 1?q₂ - Charge 2?r - Separation between Charges?[Coulomb] - Coulomb constant?

Electrostatic Potential Energy of Point Charge or System of Charges Example

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Here is how the Electrostatic Potential Energy of Point Charge or System of Charges equation looks like with Values.

Here is how the Electrostatic Potential Energy of Point Charge or System of Charges equation looks like with Units.

Here is how the Electrostatic Potential Energy of Point Charge or System of Charges equation looks like.

5087.6534 = \frac{9E+9 \cdot 0.04 \cdot 0.03}{2119.85}

5087.6534J = \frac{9E+9 \cdot 0.04C \cdot 0.03C}{2119.85m}

5087.6534 = \frac{9E+9 \cdot 0.04 \cdot 0.03}{2119.85}

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Electrostatic Potential Energy of Point Charge or System of Charges Solution

Follow our step by step solution on how to calculate Electrostatic Potential Energy of Point Charge or System of Charges?

FIRST Step Consider the formula

U free = \frac{[Coulomb] \cdot q 1 \cdot q 2}{r}

Next Step Substitute values of Variables

∴

U free = \frac{[Coulomb] \cdot 0.04C \cdot 0.03C}{2119.85m}

Next Step Substitute values of Constants

∴

U free = \frac{9E+9 \cdot 0.04C \cdot 0.03C}{2119.85m}

Next Step Prepare to Evaluate

∴

U free = \frac{9E+9 \cdot 0.04 \cdot 0.03}{2119.85}

Next Step Evaluate

∴

U free = 5087.65344281907J

LAST Step Rounding Answer

∴

U free = 5087.6534J

Electrostatic Potential Energy of Point Charge or System of Charges Formula Elements

Variables

Constants

Potential Energy of Point Charge

Potential Energy of Point Charge is the energy an object has due to its position or configuration in an electrostatic field.

Symbol: U_free

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Potential Energy of Point Charge

Charge 1

Charge 1 is the quantity of electricity possessed by a body, measured in coulombs, and is a fundamental concept in electrostatics.

Symbol: q₁

Measurement: Electric ChargeUnit: C

Note: Value can be positive or negative.

Formulas to find Charge 1

Charge 2

Charge 2 is the second point charge in an electrostatic system, used to calculate the electrostatic force or potential between two or more charges.

Symbol: q₂

Measurement: Electric ChargeUnit: C

Note: Value can be positive or negative.

Formulas to find Charge 2

Separation between Charges

Separation between Charges is the distance between two point charges in an electrostatic field, affecting the electrostatic force between them.

Symbol: r

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Separation between Charges

Coulomb constant

Coulomb constant appears in Coulomb's law and quantifies the electrostatic force between two point charges. It plays a fundamental role in the study of electrostatics.

Symbol: [Coulomb]

Value: 8.9875E+9

Other formulas in Electric Potential and Energy Density category

Go Electrostatic Potential due to Point Charge

ϕ = \frac{[Coulomb] \cdot Q pt}{r}

Go Electric Potential of Dipole

ϕ = \frac{[Coulomb] \cdot p \cdot \cos (θ)}{{|r|}^{2}}

Go Energy Density in Electric Field

u = \frac{1}{2} \cdot [Permitivity-vacuum] \cdot E^{2}

Go Energy Density in Electric Field given Free Space Permittivity

u = \frac{ε free \cdot E^{2}}{2}

How to Evaluate Electrostatic Potential Energy of Point Charge or System of Charges?

Electrostatic Potential Energy of Point Charge or System of Charges evaluator uses Potential Energy of Point Charge = ([Coulomb]*Charge 1*Charge 2)/Separation between Charges to evaluate the Potential Energy of Point Charge, Electrostatic Potential Energy of Point Charge or System of Charges formula is defined as the energy associated with the interaction between two point charges or a system of charges, which depends on the magnitude of the charges and the distance between them, and is a fundamental concept in understanding electrostatic interactions. Potential Energy of Point Charge is denoted by U_free symbol.

How to evaluate Electrostatic Potential Energy of Point Charge or System of Charges using this online evaluator? To use this online evaluator for Electrostatic Potential Energy of Point Charge or System of Charges, enter Charge 1 (q₁), Charge 2 (q₂) & Separation between Charges (r) and hit the calculate button.

FAQs on Electrostatic Potential Energy of Point Charge or System of Charges

What is the formula to find Electrostatic Potential Energy of Point Charge or System of Charges?

The formula of Electrostatic Potential Energy of Point Charge or System of Charges is expressed as Potential Energy of Point Charge = ([Coulomb]*Charge 1*Charge 2)/Separation between Charges. Here is an example- 5087.653 = ([Coulomb]*0.04*0.03)/2119.85.

How to calculate Electrostatic Potential Energy of Point Charge or System of Charges?

With Charge 1 (q₁), Charge 2 (q₂) & Separation between Charges (r) we can find Electrostatic Potential Energy of Point Charge or System of Charges using the formula - Potential Energy of Point Charge = ([Coulomb]*Charge 1*Charge 2)/Separation between Charges. This formula also uses Coulomb constant .

Can the Electrostatic Potential Energy of Point Charge or System of Charges be negative?

Yes, the Electrostatic Potential Energy of Point Charge or System of Charges, measured in Energy can be negative.

Which unit is used to measure Electrostatic Potential Energy of Point Charge or System of Charges?

Electrostatic Potential Energy of Point Charge or System of Charges 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 of Point Charge or System of Charges can be measured.

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Electrostatic Potential Energy of Point Charge or System of Charges Formula

Electrostatic Potential Energy of Point Charge or System of Charges Example

Electrostatic Potential Energy of Point Charge or System of Charges Solution

Electrostatic Potential Energy of Point Charge or System of Charges Formula Elements

Other formulas in Electric Potential and Energy Density category

How to Evaluate Electrostatic Potential Energy of Point Charge or System of Charges?

FAQs on Electrostatic Potential Energy of Point Charge or System of Charges

Variable Name