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Gauss Earth Efd9E0

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Gauss Earth Efd9E0


1. The problem is to explain the concept of "gauss jorden," which likely refers to Gauss's law in physics, specifically related to the Earth (jorden in some languages means Earth). 2. Gauss's law is a fundamental law in electromagnetism that relates the electric flux through a closed surface to the charge enclosed by that surface. 3. The formula for Gauss's law is: $$\Phi_E = \frac{Q_{enc}}{\epsilon_0}$$ where $\Phi_E$ is the electric flux through the surface, $Q_{enc}$ is the total charge enclosed within the surface, and $\epsilon_0$ is the permittivity of free space. 4. When applying Gauss's law to Earth, we often consider Earth as a charged sphere or consider the gravitational analog (Gauss's law for gravity). 5. For a spherical surface of radius $r$ around Earth, the electric flux is: $$\Phi_E = E \cdot 4\pi r^2$$ where $E$ is the electric field magnitude at distance $r$. 6. Using Gauss's law, we can solve for $E$: $$E = \frac{Q_{enc}}{4\pi \epsilon_0 r^2}$$ 7. This shows that the electric field decreases with the square of the distance from the center of Earth. 8. This principle is similar to the gravitational field around Earth, where the gravitational field also follows an inverse square law. Final answer: Gauss's law relates the electric flux through a closed surface to the charge enclosed, and for Earth modeled as a sphere, the electric field at distance $r$ is given by $$E = \frac{Q_{enc}}{4\pi \epsilon_0 r^2}$$.