Two hemispherical surfaces, 1 and 2, of respective radii r 1 and r 2, are center

Question

Two hemispherical surfaces, 1 and 2, of respective radii r1 and r2, 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 r  due to the point charge is:

E (r )=Cr2r^

where C is a constant proportional to the charge, r=r , and r^=r /r is the unit vector in the radial direction.

a- What is the electric flux 3 through the annular ring, surface 3?

b- What is the electric flux 1 through surface 1?

c-What is the electric flux 2 passing outward through surface 2?

Explanation / Answer

1) What is the electric flux 3 through the annular ring, surface 3

3 = 0
2) What is the electric flux 1 through surface 1

1 = 2C

3) What is the electric flux 2 passing outward through surface 2

2 = 2C

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