The earth has an electric field pointing radially down that averages 100 N/C. Thisfield is maintained by atmospheric processes, including lightning. What is the excesscharge on the surface of the earth ?

Respuesta :

Answer:

Explanation:

Given

Average Electric Field Strength [tex]E=100\ N/C[/tex]

Considering charge distribution to be uniform and earth to be symmetrical

Using Gauss law

[tex]\phi =\oint \vec{E}\cdot \vec{dA}[/tex]

[tex]\phi =E\cdot A_{sphere}[/tex]

Also  [tex]E\cdot A_{sphere}=\frac{Q_{inside}}{\epsilon }[/tex]

here Electric Field is acting inward therefore

[tex]Q=-\epsilon EA_{sphere}[/tex]

[tex]Q=-8.85\times 10^{-12}\times 100\times 4\pi \times (6.37\times 10^6)^2[/tex]

[tex]Q=-4.51\times 10^5\ C[/tex]        

Answer:

D The strength of the field increases as you get closer to Earth, as shown by the smaller spaces between the circles.

Explanation: