A point charge q = + 3.0 µC is surrounded by an imaginary sphere of radius r=0.20 m centered on the charge as shoen in the figure. Find the resulting electric flux through the sphere.

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Activity 3. ELECTRIC FLUX THROUGH A SPHERE
A point charge q = + 3.0 µC is surrounded by an imaginary sphere of radius r=0.20 m centered
on the charge as shoen in the figure. Find the resulting electric flux through the sphere.
Solutions:
The surface is not flat and the electric field is not uniform, so to calculate the electric flux. Because
the sphere is centered on the point charge, at any point on the spherical surface, E is directed out
of the sphere perpendicular to the surface. The Electric field at the surface is given by:
E = k
Where A is the area of the spherical surface: A =
Hence the total flux through the sphere is: E = EA
DE = (
Remember that k =
and substitute it to k.
DE
Where Eo = 8. 85 x10-12
N - m²- substitute it to the formula
Therefore, the net electric flux through the given sphere Gaussian surface is zero,
Transcribed Image Text:Activity 3. ELECTRIC FLUX THROUGH A SPHERE A point charge q = + 3.0 µC is surrounded by an imaginary sphere of radius r=0.20 m centered on the charge as shoen in the figure. Find the resulting electric flux through the sphere. Solutions: The surface is not flat and the electric field is not uniform, so to calculate the electric flux. Because the sphere is centered on the point charge, at any point on the spherical surface, E is directed out of the sphere perpendicular to the surface. The Electric field at the surface is given by: E = k Where A is the area of the spherical surface: A = Hence the total flux through the sphere is: E = EA DE = ( Remember that k = and substitute it to k. DE Where Eo = 8. 85 x10-12 N - m²- substitute it to the formula Therefore, the net electric flux through the given sphere Gaussian surface is zero,
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