W04 Electric Flux alculating Flux for Hemispheres of Different Radii arallel or

Question

W04 Electric Flux alculating Flux for Hemispheres of Different Radii arallel or perpendicular to E, so that the dot product is asy to compute. Part A Figure 1) two hemispherical surfaces, 1 and 2. of respective radii ri and r2, are centered at a point charge and are facing each ther so that their edges define an annular ring (surface 3), as shown. The field at position F due to the point charge is: What is the electric flux 3 through the annular ring, surface 3? Express your answer in terms of C, r, n, and any constants. View Available Hint(s) where C is a constant proportional to the charge, r and F F/ris the unit vector in the radial direction. gure 1 of 1 Submit surface 2 sarl surface 3 Part B What is the electric fuxbi through surface 1 ? Express in terms of C, ri. r2, and any needed constants. View Available Hint(s) surface 1 surface 1 Side View Front View

Explanation / Answer

part A)At the surface 3,

phi(3) = 0

Because, phi3 = EA cos(theta)

The angle between the the E and A is 90 deg and cos90 = 0, hence, phi(3) = 0

b)Through surfce 1

phi(1) = EA cos(theta)

In this case, theta = 0,

Phi(1) = EA = C/r^2 x 2 pi r^2 = 2 pi C

Hence, Phi(1) = 2 pi C

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