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Grade 12Electrostatics

One fourth of a sphere of radius R is removed as shown in figure . an electric current E exists parallel to the xy plane . Find the flux through the remaining curved part

Question image for One fourth of a sphere of radius R is removed as s

manan

8 Years agoGrade 12

1 Answer

Khimraj

Approved Tutor Answer8 Years ago

The electric flux through closed surface is zero.

flux through plane surface + flux through curved surface =0

$(\pi R^{2}/2)*(E/\sqrt{2})*cos180 + (\pi R^{2}/2)*(E/\sqrt{2})*cos180$ + flux through curved surface =0

$- (\pi R^{2})*(E/\sqrt{2})$ + flux through curved surface =0

flux through curved surface = $(\pi R^{2}E/\sqrt{2})$ .

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