Question

A spherical shell of radius 1.4 m is placed in a uniform electric field with magnitude 5650 N/C. Find the total electric flux through the shell. Answer in units of N · m 2 /C.\

Answer 1

Answer:

The total electric flux through the shell = 34804 N.m²/C

Explanation:

φ = E.A ........................... Equation 1

Where φ = total electric flux through the shell, E = Electric Field, A =  surface Area of the sphere

But,

A = 4πr² ................................... Equation 2

Where r = radius of the sphere.

Given: r = 1.4 m,

constant: π = 3.143

Substituting these values into equation 2,

A = 3.143(1.4)²

A = 6.16 m²

Also Given: E = 5650 N/C,

Substituting into equation 1,

φ = 5650(6.16)

φ = 34804 N.m²/C

Thus the total electric flux through the shell = 34804 N.m²/C