Hemisphere E-Field (Qualitative)

A hollow hemispherical shell of radius R R with uniform area charge density has the center of its base at the origin in the x y z xyz coordinate system. Its base is parallel to the x y xy plane.

In Case 1, there is a test point at ( x , y , z ) = ( 0 , 0 , 0 ) (x,y,z) = (0,0,0) . In Case 2, there is a test point at ( x , y , z ) = ( 3 4 R , 0 , 0 ) (x,y,z) = (\frac{3}{4} R,0,0) .

Let E 1 E_1 be the magnitude of the electric field at the test point in Case 1. Let E 2 E_2 be the magnitude of the electric field at the test point in Case 2.

Consider the following ratio:

α = E 2 E 1 \alpha = \frac{E_2}{E_1}

Which statement is true about α \alpha ?

Inspiration

α < 1 \large{\alpha < 1} α = 1 \large{\alpha = 1} α > 1 \large{\alpha > 1}

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