The ranking of the magnitude of electric field they produce at the center in decreasing order is c > b > a = d.
Electric field at the center of shape
The electric field at the center of a sphere is given as;
[tex]E = \frac{kq}{r^2}[/tex]
For the half-shape (a)
[tex]E = \frac{1}{2} (\frac{kq}{r^2} )[/tex]
For 3 quarter of the shape (b)
[tex]E = \frac{3}{4} (\frac{kq}{r^2} )[/tex]
Net electric field for (d)
[tex]E_{net} = \frac{3}{4} (\frac{kq}{r^2} ) \ - \ \frac{1}{4} (\frac{kq}{r^2} ) = \frac{1}{2} (\frac{kq}{r^2} )[/tex]
The ranking of the magnitude of electric field they produce at the center in decreasing order is c > b > a = d.
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