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How do you calculate flux through a hemisphere?

Posted on September 1, 2022 by Author

How do you calculate flux through a hemisphere?

The flux associated with the base of the hemisphere is ϕ=-EπR2 (negative as it is the incoming flux). Hence, the same amount of flux wil be associated with curved surface, but the sigh of the flux will be positive as it is as outgoing flux. Hence, ϕcurve=EπR2 .

What is the electric flux through the hemispherical portion?

2πR2E.

What is the electric flux through a hemispherical surface of radius r?

What is the flux through a flat surface?

The electric flux through a planar area is defined as the electric field times the component of the area perpendicular to the field. If the area is not planar, then the evaluation of the flux generally requires an area integral since the angle will be continually changing.

What is the surface area of a hemisphere?

Total surface area of a hemisphere: A = 3 * π * r² , Surface to volume ratio of a hemisphere: A / V = 9 / (2 * r) .

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What is the flux through A surface if surface is parallel to the lines of force?

If the surface is parallel to the field (right panel), then no field lines cross that surface, and the flux through that surface is zero. If the surface is rotated with respect to the electric field, as in the middle panel, then the flux through the surface is between zero and the maximal value.

What is the surface area of the hemispherical tank including the base )?

If you have a hemispherical object then it has a base which is a circle of radius r. The area of a circle of radius r is π r2 and thus if the hemisphere is meant to include the base then the surface area is 2 π r2 + π r2 = 3 π r2. Hence in this case 3 π r2 = 1062.

How many surfaces does a hemisphere have?

Hemisphere has two surface areas, i.e total surface area, and lateral surface area. The total surface area of hemisphere = 3πr2 and the lateral surface area of hemisphere = 2πr2.

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