why the value of K is taken as 1/4πε0 ? || value of K in coulomb's law .
Автор: SYED ZIA ULLAH
Загружено: 2024-11-06
Просмотров: 614
In Coulomb's Law, k is known as Coulomb's constant. Its value is:
k = 8.98755 × 10^9 N·m^2/C^2
(approximately)
This constant relates the electrostatic force (F) between two charges (q1 and q2) to the distance (r) between them:
F = k × (q1 × q2) / r^2
Coulomb's constant in various units:
1. SI units: 8.98755 × 10^9 N·m^2/C^2
2. Gaussian units: 1 (dimensionless)
3. Electrostatic units (esu): 1 (dimensionless)
4. Metric units: 9 × 10^9 N·m^2/C^2 (approx.)
Significance of Coulomb's constant:
1. Relates electrostatic force to charge and distance.
2. Fundamental constant in electromagnetism.
3. Used in calculations involving electric fields, potentials, and energies.
Coulomb's constant is inversely proportional to the permittivity of free space (ε0):
k = 1 / (4πε0)
where ε0 is approximately 8.854 × 10^-12 F/m
how constants are derived
value of k in coulomb's law
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