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Electric Potential of Dipole Formula

GoElectrostatic Potential due to Point Charge Formula

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Electrostatic Potential is the potential energy per unit charge at a point in an electric field, measured relative to a reference point. Check FAQs

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

ϕ - Electrostatic Potential?p - Electric Dipole Moment?θ - Angle between any Two Vectors?|r| - Magnitude of Position Vector?[Coulomb] - Coulomb constant?

Electric Potential of Dipole Example

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Here is how the Electric Potential of Dipole equation looks like with Values.

Here is how the Electric Potential of Dipole equation looks like with Units.

Here is how the Electric Potential of Dipole equation looks like.

50.0695 = \frac{9E+9 \cdot 0.6 \cdot \cos (89)}{1371^{2}}

50.0695V = \frac{9E+9 \cdot 0.6C*m \cdot \cos (89°)}{{1371m}^{2}}

50.0695 = \frac{9E+9 \cdot 0.6 \cdot \cos (89)}{1371^{2}}

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Electric Potential of Dipole Solution

Follow our step by step solution on how to calculate Electric Potential of Dipole?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ϕ = \frac{[Coulomb] \cdot 0.6C*m \cdot \cos (89°)}{{1371m}^{2}}

Next Step Substitute values of Constants

∴

ϕ = \frac{9E+9 \cdot 0.6C*m \cdot \cos (89°)}{{1371m}^{2}}

Next Step Convert Units

∴

ϕ = \frac{9E+9 \cdot 0.6C*m \cdot \cos (1.5533rad)}{{1371m}^{2}}

Next Step Prepare to Evaluate

∴

ϕ = \frac{9E+9 \cdot 0.6 \cdot \cos (1.5533)}{1371^{2}}

Next Step Evaluate

∴

ϕ = 50.0694781901412V

LAST Step Rounding Answer

∴

ϕ = 50.0695V

Electric Potential of Dipole Formula Elements

Variables

Constants

Functions

Electrostatic Potential

Electrostatic Potential is the potential energy per unit charge at a point in an electric field, measured relative to a reference point.

Symbol: ϕ

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Electrostatic Potential

Electric Dipole Moment

Electric Dipole Moment is a measure of the separation of positive and negative electric charges within a system, used to describe the distribution of electric charge.

Symbol: p

Measurement: Electric Dipole MomentUnit: C*m

Note: Value can be positive or negative.

Formulas to find Electric Dipole Moment

Angle between any Two Vectors

Angle between any two vectors is the measure of orientation between two vectors in three-dimensional space, used to calculate electrostatic forces and interactions.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle between any Two Vectors

Magnitude of Position Vector

Magnitude of Position Vector is the length of the position vector from the origin to a point in an electrostatic field.

Symbol: |r|

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Magnitude of Position Vector

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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Electrostatic Potential

Go Electrostatic Potential due to Point Charge

ϕ = \frac{[Coulomb] \cdot Q pt}{r}

Other formulas in Electric Potential and Energy Density category

Go Electrostatic Potential Energy of Point Charge or System of Charges

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

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 Electric Potential of Dipole?

Electric Potential of Dipole evaluator uses Electrostatic Potential = ([Coulomb]*Electric Dipole Moment*cos(Angle between any Two Vectors))/(Magnitude of Position Vector^2) to evaluate the Electrostatic Potential, Electric Potential of Dipole formula is defined as a measure of the potential difference between two points in space due to the presence of an electric dipole, which is a separation of positive and negative electric charges, and is used to describe the electric field around the dipole. Electrostatic Potential is denoted by ϕ symbol.

How to evaluate Electric Potential of Dipole using this online evaluator? To use this online evaluator for Electric Potential of Dipole, enter Electric Dipole Moment (p), Angle between any Two Vectors (θ) & Magnitude of Position Vector (|r|) and hit the calculate button.

FAQs on Electric Potential of Dipole

What is the formula to find Electric Potential of Dipole?

The formula of Electric Potential of Dipole is expressed as Electrostatic Potential = ([Coulomb]*Electric Dipole Moment*cos(Angle between any Two Vectors))/(Magnitude of Position Vector^2). Here is an example- 49.99652 = ([Coulomb]*0.6*cos(1.55334303427466))/(1371^2).

How to calculate Electric Potential of Dipole?

With Electric Dipole Moment (p), Angle between any Two Vectors (θ) & Magnitude of Position Vector (|r|) we can find Electric Potential of Dipole using the formula - Electrostatic Potential = ([Coulomb]*Electric Dipole Moment*cos(Angle between any Two Vectors))/(Magnitude of Position Vector^2). This formula also uses Coulomb constant and Cosine (cos) function(s).

What are the other ways to Calculate Electrostatic Potential?

Here are the different ways to Calculate Electrostatic Potential-

Electrostatic Potential=([Coulomb]*Point Charge)/Separation between Charges

Can the Electric Potential of Dipole be negative?

Yes, the Electric Potential of Dipole, measured in Electric Potential can be negative.

Which unit is used to measure Electric Potential of Dipole?

Electric Potential of Dipole is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Electric Potential of Dipole can be measured.

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Electric Potential of Dipole Formula

​GoElectrostatic Potential due to Point Charge Formula

Electric Potential of Dipole Example

Electric Potential of Dipole Solution

Electric Potential of Dipole Formula Elements

Other Formulas to find Electrostatic Potential

Other formulas in Electric Potential and Energy Density category

How to Evaluate Electric Potential of Dipole?

FAQs on Electric Potential of Dipole

Variable Name

GoElectrostatic Potential due to Point Charge Formula