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.