The electric field intensity at the center of a uniformly charged hemispherical shell is E_o. Now two portions of the hemisphere are cut from either side, and the remaining portion is shown in figure. $If α = β = π / 3,$ , then the electric field intensity at the center due to the remaining portion is

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information insufficient

$E_{0} / 3$

$E_{0} / 6$

$E_{0} / 2$

answer is C.

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Detailed Solution

The magnitude of electric field intensity due to each part of the hemispherical surface at the center 'O' is same. Suppose it is E
$E + \frac{E}{2} + \frac{E}{2} = E_{0}$
or $2 E = E_{0}$
or $E = \frac{E_{0}}{2}$

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