Two hemispherical surfaces, 1 and 2, of respective radii and , are centered at a point charge and are facing each other so that their edges define an annular ring (surface 3), as shown. The field at position r⃗ due to the point charge is:
where C is a constant proportional to the charge, r=∣∣r⃗ ∣∣, and is the unit vector in the radial direction.
a)- What is the electric flux through the annular ring, surface 3?
b)- What is the electric flux through surface 1?
c)- What is the electric flux passing outward through surface 2?
