Question

Given a 60-μC point charge located at origin. find total electric flux passing through:

a) that portion of the sphere r=26 cm bounded by and

b) the close surface defined by ρ = 26 cm and z = ±26 cm

c) the plane z = 26 cm

Answer 1

(a) is not a complete statement.

(b) completely encloses the charge, so the flux is given by Gauss' law as \(\dfrac{Q}{\epsilon_0}\).

(c) the flux here is halved... pretty obvious since only half of the electric field lines from the charge will penetrate the plane. \(\dfrac{Q}{2\epsilon_0}\)

Answer 2

i apologize for the the incomplete question for a. a should be a follow

Given 60 μC point charge located at the origin, find the total electric flux passing through that portion of the sphere r=26 cm bounded by 0˂θ˂π/2 and 0˂ɸ˂π/2.

Answer 3

Well, again, that's just half a sphere, so only half of the electric field lines will pass through.