The total electric flux through a closed cylindrical (length = 1.2 m, diameter = 0.20 m) surface is equal to - 5 0. Nm / C^2. Determine the net charge within the cylinder in pC? (εo = 8.85z10^-12)

a) - 71

b) - 62

c) - 53

d) - 44

e) - 16

d) - 44

Explanation:

given information:

length, l = 1.2 m

diameter, d = 0.2 m

flux, Φ = - 5.0 Nm/C²

ε₀ = 8.85 x 10⁻¹²

to find the net charge of the cylinder, we use the following step

Φ = E/A

= Q/ε₀

Q = Φ ε₀

= (-5.0) (8.85 x 10⁻¹²)

= - 44.25 x 10⁻¹² C

= - 44 pC (d)