Electric field strength

Physics

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Electric field strength (E) is a measure of the force experienced by a unit positive test charge placed at a point in an electric field. It quantifies how strong an electric field is at a particular location.

The formula for electric field strength is:

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

Where:

  • EE is the electric field strength (measured in Newtons per Coulomb, N/C).
  • FF is the electric force experienced by the test charge (measured in Newtons, N).
  • qq is the magnitude of the test charge (measured in Coulombs, C).

For a point charge QQ creating the field, the electric field strength at a distance rr from the charge is given by:

E=k∣Q∣r2E = \frac{k|Q|}{r^2}

Where:

  • kk is Coulomb's constant (8.99×109 N⋅m2/C28.99 \times 10^9 \text{ N}\cdot\text{m}^2/\text{C}^2).
  • ∣Q∣|Q| is the magnitude of the source charge (C).
  • rr is the distance from the source charge to the point of interest (m).

The direction of the electric field strength is the direction of the force that a positive test charge would experience. This means it points away from positive source charges and towards negative source charges.

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