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The negative charge distributed over surface of earth is 5 ×10^5 coulomb The surface charge density is nearly?
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The negative charge distributed over surface of earth is 5 ×10^5 coulo...
Calculation of Surface Charge Density of Earth


Given:


  • Charge on earth surface, q = 5 × 10^5 C

  • Radius of earth, R = 6.37 × 10^6 m



Formula to Calculate Surface Charge Density


The surface charge density of a charged object is defined as the amount of charge per unit area of the surface. Mathematically, it can be represented as:


σ = q/A


where σ is the surface charge density, q is the charge on the surface, and A is the surface area.


Calculation


The surface area of a sphere is given by:


A = 4πR^2


Substituting the given values, we get:


A = 4π(6.37 × 10^6)^2

A = 5.12 × 10^14 m^2


Substituting the values of q and A in the formula for surface charge density, we get:


σ = q/A


σ = (5 × 10^5)/(5.12 × 10^14)


σ = 9.77 × 10^-10 C/m^2


Answer


Therefore, the surface charge density of the earth is approximately 9.77 × 10^-10 C/m^2.
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