The electric field just above the surface of the earth has been measured to be 139 N/C downward. What total charge (sign and magnitude) on the Earth is implied by this measurement

Respuesta :

Answer:

156KC

Explanation:

Pls see attached file

Ver imagen hopemichael95

156 C is the total charge on the Earth is implied by measurement.

What is Gauss law ?

It states that the electric flux Φ across any closed surface is proportional to the net electric charge q enclosed by the surface;

i.e.  Φ = q/ε0

According to the question,

Electric field of Earth is 139 N/C

ε[tex]_{o}[/tex][tex]= 8.85 *10^{-12} C^{2} /Nm^{2}[/tex]

[tex]R_{e} = 6.37 * 10^{6}[/tex]

Using the formula by Gauss's Law

Φ = q/ε[tex]_{o}[/tex] = EA

q = ε[tex]_{o}[/tex]EA = ε[tex]_{o}[/tex]E*r²

= [tex]= 8.85*10^{12} *139*(6.37*10^{6} )^2\\\\= 156,905.9*10^0 = 156C[/tex]

Therefore ,

The total charge on the Earth is implied by this measurement is 156 C.

Learn  more about Gauss's Law here:

https://brainly.com/question/14767569

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