Earth's Electric & Gravitational Field: Direction, Shape & Height

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SUMMARY

Earth's electric field at its surface measures 1.0 x 10^2 N/C, directed towards the center of the planet. In comparison, the gravitational field also points towards the center but varies in strength with height, while the electric field remains relatively constant. The shape of the electric field is uniform near the surface, whereas the gravitational field decreases with altitude. The maximum mass that can be suspended by Earth's electric field, when considering a particle with an elementary charge, is determined by the relationship between electric force and gravitational force.

PREREQUISITES
  • Understanding of electric fields and their properties
  • Knowledge of gravitational fields and their characteristics
  • Familiarity with Coulomb's Law and Newton's Law of Universal Gravitation
  • Basic algebra for solving equations related to force and mass
NEXT STEPS
  • Research the principles of electric field strength and its calculation
  • Study the effects of altitude on gravitational force
  • Explore the concept of charge-to-mass ratio in electric fields
  • Learn about the applications of electric fields in particle suspension techniques
USEFUL FOR

Students in physics, educators teaching electromagnetism and gravitation, and researchers exploring electric and gravitational interactions.

pdaniel
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Homework Statement


Earth actually has an electric field of 1.0 x 10^2 N/C at its surface pointing toward the center.
(b) Compare Earth's electric field and gravitational field in terms of
i) direction
ii) shape
iii) how it changes as height increases.

c) What is the largest mass that can be suspended by the electric field of Earth if the particle has the elementary charge on it?

Homework Equations

The Attempt at a Solution


I already did question (a), it was to find the charge on Earth and I got -4.52 x 10^5C
 
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