A hollow sphere of radius 1.88 m is in a region where the electric field is radial and directed toward the center of the sphere. If the magnitude of the field at the surface of the sphere is 22.6 N/C, what is the net electric flux through the spherical surface?

1003.9 Nm²/C

Explanation:

Parameters given:

Radius of sphere, r = 1.88 m

Electric field at surface of sphere, E = 22.6 N/C

Electric Flux, Φ, is given as:

Φ = E * A

Where A = Surface area

Surface Area of sphere = 4 * pi * r²

= 4 * pi * 1.88²

= 44.4 m²

Φ = 22.6 * 44.4

Φ = 1003.9 Nm²/C