Question

Formulas of electrostatic?​

Answer 1

Answer:

Formulas related to Electrostatics ie., static charges :

K = 1/(4πε) = 9 * 10⁹ units ;; ε = K * ε₀

Coulomb's law: Force F = K Q1 Q2 / d²

Electric field:

due to a point charge Q: E = F / q = K Q/d²

a Long wire (infinite) of uniform charge density λ at a distance d:

E = K 2λ / d = λ / [2 πε d]

due to a finite wire (length 2a) at distance d on the perpendicular bisector:

E = K q /[x √(x²+a²) ]

A large rectangular sheet (infinite): σ/(2ε)

Inside a parallel plate capacitor (between two plates): σ/ε

Electric Flux: Φ = E * Area S :

===============

Potential at point P

V = - Work done in bringing a unit charge from infinity to point P

V = W/ q

E = -dV/dr

Potential difference between points:

Potential :

due to point charge: K q/r

across a parallel plate capacitor: d * E = σ d /ε

at a point close to a large sheet of charge = E d = σ d/2ε

at the surface of a metallic sphere = K Q/R

at a distance x from a ring of charge q ^ radius R, along the axis:

V= Kq/√(R²+x²)

Along the axis of a disc : V = σ/(2ε) * [√(R²+x²) - x ]

At the center of a disc: V = σR / (2ε)

At the edge of a disc: V = σR /(π ε)

Potential energy

stored in a field E per unit volume: U = 1/2 * ε * E²

stored in a system of two charges: U = K q1 q2 / d

work done = q V

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Capacitance = C = Q/V

parallel plate capacitor: ε A / d = σ A / (E d)

A coaxial cable of inner and outer radii a & b, per unit length: [2 K * Ln (a/b)]⁻¹

Parallel combination: C = C1 + C2 + C3 + ...

Series combination : 1/C = 1/C1 + 1/C2 + 1/C3 ...

Of a sphere of radius R = R /K

U = 1/2 * C V²

Dipole: charges along y axis

Dipole moment = p = 2 a q

Field E at point P (x,y,z):

Dipole:

Along the axis at y: V = K P /(y² - a²) ;; E = K 2Py / (y² - a²)²

Along the bisector: V = 0 ;; E = K P / (x² + a²)³/²

Potential V at P(x,y,z) :

Field E due to a Ring of charge q and radius R at distance x along the axis:

E = K q x /(x²+R²)³/² = K q Sin² θ * cosθ / R²

Torque on a dipole:

Potential energy of a dipole in an electric field E: U (θ) = - PE Cos θ = - P . E

Time period of oscillation of dipole in electric field E:

T = 2 π √[ I /PE ] I = moment of inertia of dipole

Electric field inside a spherical shell = 0

Electric field inside a conductor = 0

Electric field inside a charged sphere: K q r /R³

Potential inside a charged sphere: K q / R * [3/2 - r²/2R² ]

Answer 2

Hey mate!!!✌

This is ur answer:-

Important formulas of electrostatic:-

a) Coulombs force between two-point charges.

b)Electric field. E ⃗ = 1 4 π ϵ 0 q ∣ r ⃗ ∣ 2 r ^ \vec{E}=\frac{1}{4\pi\epsilon _{0}}\frac{q}{{\left |\vec{r} \right |^{2}}}\hat{r} E =4πϵ01∣r ∣2qr^

c)Electric field Intensity.

d)Electrostatic Energy.

e)Electric Potential.

f)Electric dipole moment.

g)Potential of a dipole.

h)Field of a dipole.

Hope it helps u...... ☺️