Question

The Earth possesses an electric field of (average) magnitude near its surface. The field points radially inward. Calculate the net electric flux outward through a spherical surface surrounding, and just beyond, the Earth’s surface.

Answer 1

Answer:

Incomplete question

This is the complete question

The Earth possesses an electric field of (average) magnitude 150 near its surface. The field points radially inward. Calculate the net electric flux outward through a spherical surface surrounding, and just beyond, the Earth's surface.

Explanation:

Given that,

Electric field is 150N/C inward

i.e E = - 150 i

Then, electric flux (Φ) is given as

Φ=∮E.dA

Surface area of a sphere is

A=4πr²

dA=8πr dr

The area is outwardly i.e

dA=-8πr dr i

Φ=∮E.dA

Φ=∮-150 i • 8πr i dr from 0 to R

Φ= -1200π∮rdr. From 0 to R

Φ= -1200π r²/2. From 0 to R

Φ= -600π [R² -0²]

Φ= -600πR²

Where R is radius of earth which is 6,400,000m

Φ= -600πR²

Φ= -600π(6400000)²

Φ= -7.72×10^16 Nm²/C