Charge: Fundamental physical quantity responsible for electrical phenomena.
Unit: Coulomb (C)
Positive charge (proton): 1.6 × 10−19 C
Negative charge (electron): −1.6 × 10−19 C
Ways of Charging:
Rubbing: Friction causes electron transfer.
Conduction: Charging through direct contact.
Induction: Charging without direct contact, causing polarization.
Net Charge: The sum of all positive and negative charges in an object.
Triboelectric Series: A list of materials arranged by their tendency to gain or lose electrons, aiding in predicting static electricity outcomes.
Law of Conservation of Charge: A system remains in equilibrium unless charge is added or removed. (Benjamin Franklin)
Coulomb’s Law: Describes electric force between charges:
Formula: F_e = k * (q1 * q2) / r^2
k: Proportionality constant (Coulomb’s constant).
r: Distance between charges.
Electric Field: A field surrounding a charged particle indicating the force it would impose on another charge.
Gauss’ Law: Relates electric field to total charge enclosed in a closed surface.
Gaussian Surface: Hypothetical surface that may or may not contain charge.
Electric Flux: Product of the electric field strength and the area through which it passes.
Quantization of Charge:
Formula: q = n * c
n: Number of charges present.
c: Charge of a charged particle.
Electric Force:
Formula: F_e = k * (q1 * q2) / r^2
k: 9 × 10^9 N·m²/C² (Coulomb’s constant).
Electric Field:
Formula: E = k * q / r^2
Electric Flux:
Formula: Φ_E = E * A * cos(θ)
A: Area of the region.
θ: Angle between electric field and surface.
Gauss’ Law (general):
Formula: Φ = Σq_enc / ε₀
Σq_enc: Total enclosed charge.
ε₀: 8.85 × 10^−12 F/m (vacuum permittivity).
Gauss’ Law (spherical shell):
Formula: Φ = q / ε₀ (no electric field inside the shell).
Gauss’ Law (solid sphere):
Outside surface: Use spherical shell equation.
Inside sphere: Φ = q * r³ / (ε₀ * R³)
r: Internal radius.
R: Major internal radius.
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