Electric charges and field

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Last updated 1:27 PM on 9/25/26
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42 Terms

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SI unit of charge

CGS unit of charge

Coulomb (C)

Stat coulomb

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1 C =

3 × 10−1910^{-19} stat coulomb

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1 e−1e^{-1}

-1.6 × 10−1910^{-19} C

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1 P

1.6 × 10−1910^{-19} C

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Mass of proton

1.67 × 10−2710^{-27} Kg

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Mass of electron

9.1 × 10−3110^{-31} Kg

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Value of electrostatic force constant ( K)

9×1099\times10^9

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Value of ε\varepsilon node

8.854×10−128.854\times10^{-12}

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Unit of K

NmC22\frac{Nm}{C^2}^2

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Dimension of K

ML3T−4A−2ML^3T^{-4}A^{-2}

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Unit of €°

1Nm2C−2\frac{1}{Nm^2C^{-2}}

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Dimension of €°

M−1L−3T4A2M^{-1}L^{-3}T^4A^2

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1μ\mu c

1 nc

1 pc

10−610^{-6}

10−910^{-9}

10−1210^{-12}


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Formula of electric field intensity

E=FqE=\frac{F}{q}

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Dimension of electric field

MLT−3A−1MLT^{-3}A^{-1}

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Electric field is which quantity

Vector

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Electric field lines flow from

+——>-


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Dipole moment

P→=q×2l\overrightarrow{P}=q\times2l

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Unit of dipole moment

Cm

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Dimension of dipole moment

ATL

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Electric field due to a point charge

E→=kqr2\overrightarrow{E}=\frac{kq}{r^2}

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Electric field intensity due to dipole at centre

E→=2kql2\overrightarrow{E}=\frac{2kq}{l^2}

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Electric field intensity due to dipole on an axial line

E→=2kPr3\overrightarrow{E}=\frac{2kP}{r^3}

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Relation of E and r

E→=1r2\overrightarrow{E}=\frac{1}{r^2}

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Electric field intensity due to dipole on equatorial line

E→=KPr3\overrightarrow{E}=\frac{KP}{r^3}

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Imp

Eaxial = 2 × Equatorial

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Torque on dipole is

τ=P→×E→\tau=\overrightarrow{P}\times\overrightarrow{E}

τ=\tau= PEsinθ\theta

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Angle when dipole is parallel to electric field

0o0^{o}

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Torque when dipole is parallel to el. Field

Zero

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Tau = 0

Stable equilibrium

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Tau = 180

Unstable equilibrium

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Tau = 90

Maximum torque

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Electric flux

ϕ=E→⋅ds→\phi=\overrightarrow{E}\cdot\overrightarrow{ds}

ϕ=Edscos⁡θ\phi=Eds\cos\theta

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SI unit of electric flux

ϕ=Nm2C\phi=\frac{Nm^2}{C}

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Dimension of Electric flux

ML3T−3A−1ML^3T^{-3}A^{-1}

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Linear charge density λ\lambda

λ=ql\lambda=\frac{q}{l}

S.I unit = C/m

Dimension = ATL−1ATL^{-1}

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Surface charge density σ\sigma

σ=QA\sigma=\frac{Q}{A}

S.I unit = C/m2m^2

Dimension = ATL−2ATL^{-2}

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Volume charge density ρ\rho

ρ=Qvol.\rho=\frac{Q}{vol.}

S.I = Cm3\frac{C}{m^3}

Dimension= ATL−3ATL^{-3}

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Gauss theorem

ϕ=∮E→⋅ds→=Qε.\phi=\oint\overrightarrow{E}\cdot\overrightarrow{ds}=\frac{Q}{\varepsilon.}

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Electric field intensity due to infinetly long wire

E=λ2πrε.E=\frac{\lambda}{2\pi r\varepsilon.}

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Electric field due to thin infinite plane sheet

E→=σ2ε.\overrightarrow{E}=\frac{\sigma}{2\varepsilon.}

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Electric field due to uniformly charged spherical shell

E→=σε.\overrightarrow{E}=\frac{\sigma}{\varepsilon.}