Question

(a) What type of charge distribution is inside the surface? a positively charged plane parallel to the end faces of the cylinder a positive line charge situated on and parallel to the axis of the cylinder a collection of positive point charges arranged in a line at the center of the cylinder and perpendicular to the axis of the cylinder a collection of negative point charges arranged in a line at the center of the cylinder and perpendicular to the axis of the cylinder a negatively charged plane parallel to the end faces of the cylinder (b) If the radius of the cylinder is 0.66 m and the magnitude of the electric field is 300 N/C, what is the net electric flux through the closed surface? N · m2/C (c) What is the net charge inside the cylinder? nC

Answer 1

a) The type of charge distribution inside the surface is a negatively charged plane parallel to the end faces of the cylinder.

b) the net electric flux is -821.09 N.m²/c

c) the net charge inside the cylinder is -7.2666 nC

Step-by-step explanation:

Given the data in the question;

a) (a) What type of charge distribution is inside the surface?

Based on the Image of the question below;

The type of charge distribution inside the surface is a negatively charged plane parallel to the end faces of the cylinder.

b) If the radius of the cylinder is 0.66 m and the magnitude of the electric field is 300 N/C, what is the net electric flux through the closed surface?

we know that; Electric flux is;

∅ = -2 × E × Area

we substitute

∅ = -2 × 300 × π ( 0.66 m )²

= -821.09 N.m²/c

Therefore; the net electric flux is -821.09 N.m²/c

c) What is the net charge inside the cylinder? nC

from Gause's law;

∅ = q/∈₀

q = ∅ ∈₀

we know permittivity ∈₀ = 8.85 × 10⁻¹²)

we substitute

q = -821.09 N.m²/c × (8.85 × 10⁻¹²)

q = -7.2666 × 10⁻⁹ C

q = -7.2666 nC

Therefore, the net charge inside the cylinder is -7.2666 nC