Charges

 

Charges

1) Number of charges




Q = n e




WHERE :


Q = Number of charges


n = Number of electrons


e = Charge of an electron


NOTE: The charge of an electron is 1.6 * 10 ^ (- 19) C.



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2) Coulomb`s Law



WHERE :


F = Force of charges


Q(1) and Q(2) = Charges


r = Distance between charges


Є = Permittivity


NOTE: Є is a constant that depends on the media being charged and its value varies from media to media. In Free space , the value of Є is 8.85 * 10 ^ (- 12). In Free space , the value of 1/4ЛЄ is 9 * 10^9.


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3) Relative Permittivity




WHERE :


k = Relative Permittivity


Є(0) = Permittivity of Free space


Є = Permittivity of In Some medium



NOTE: Relative Permittivity is the ratio of the Permittivity of a media space to the Permittivity of a free space.


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4) Force of a Charged particle




WHERE :


F = Force of a charged particle


(E ) ⃗ = Electrical Field intensity


q = Attribution of the placed object



NOTE: When the charge is positive, the force is in the direction of the field. When charged (-) the force reverses the direction of the field.



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5) Point electric field intensity



WHERE :


Q = Charge of particle


(E ) ⃗ = Point Electrical Field intensity


r = Distance between point and particle


ϵ = Permittivity


NOTE: It mainly considers the electric field intensity induced by a point charge.



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6) Electrical potential energy




E = V q




WHERE :


E = Electrical potential energy


V = Electric potential


q = Attached charge


NOTE: The principles of energy conservation, work and energy can be applied in the event of a change in the position of a charge in an electric field.


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7) Electric potential




WHERE :


Q = Charge of particle


V = Electric potential


r = Distance between point and particle


ϵ = Permittivity



NOTE: Electric potential is not a vector. The electric potential of a point charge is considered here.


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8) Linear charge density



WHERE :


λ = Linear charge density


Q = Total charge


L = Total length


NOTE: Depending on the shape of the geometric object, the position of the object is different.


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9) Surface charge density




WHERE :


σ = Surface charge density


Q = Total charge


A = Total Area



NOTE: Depending on the shape of the geometric object, the position of the object is different.


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10) Volume charge density




WHERE :


ρ = Volume charge density


Q = Total charge


V = Total Area



NOTE: Depending on the shape of the geometric object, the position of the object is different.



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11) Gauss' theorem




WHERE :


ϕ = Electric flux


q = Magnitude of the charge


ε = Permittivity



NOTE: The Gauss Theorem can be considered as a contribution to search for the electric field density.



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12) Relation between Electric flux

and Electric field intensity



WHERE :


E ⃗ = Electric field intensity


A = Area


ϕ = Electric flux



NOTE: Problems are solved by substituting Gauss's theorem and area.



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