Electrostatics Question 747

Question: 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 ε0=8.85×1012C2/Nm2,

RE=

6.37×106m ] 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

Options:

A) +670kC

B) -670kC

C) -680kC

D) +680kC

Show Answer

Answer:

Correct Answer: C

Solution:

[c] Given, Electric field E=150N/C

Total surface charge carried by earth q=?

According to Gauss’s law.

ϕ=qε0=EA or, q=0EA=0Eπr2=8.85×1012×150×

(6.37×106)2.

As electric field directed inward hence q=680KC



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