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PhysicsMediumNumerical2014 · 09 Apr Online

Q16.The magnitude of the average electric field normally present in the atmosphere just above the surface of the Earth is about 150 N/C , directed inward towards the center of the Earth. This gives the total net surface charge carried by the Earth to be : [Given : ∈O= 8.85 × 10−12 C2/N-m2, RE = 6.37 × 106m] (1) −680 kC (2) + 670 kC (3) + 680 kC (4) − 670 kC

What This Question Tests

This question tests the ability to calculate the total charge on a spherical conductor (Earth) given the electric field just outside its surface, using Gauss's Law or the relation between electric field and surface charge density.

Concepts Tested

Electric field outside a conductorGauss's LawSurface charge density

Formulas Used

E = |σ|/ε₀

Q = σ * 4πR²

Q = E * 4πε₀R²

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