# Electric Field Due To A Hemisphere

Electricity and Magnetism Level 2

Consider a positively charged, non-conducting hemispherical shell, placed such that its center is at origin and its curved surface is given by the equation:- $x^2+y^2+z^2=9, z\ge 0$

What will the direction of electric field be at a point given by position vector $$-2\hat i$$

1. $$\hat k$$
2. $$-\hat k$$
3. $$\frac{1}{\sqrt{2}}\hat i - \frac{1}{\sqrt{2}}\hat k$$
4. $$\frac{2}{\sqrt{5}}\hat i - \frac{1}{\sqrt{5}}\hat k$$
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