### Field at the center of a ring having an opening.

A ring center O and radius R bears a uniform linear charge density λ except on a corner arc center 2α

Determine the electrostatic field in O.

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A ring center O and radius R bears a uniform linear charge density λ except on a corner arc center 2α

Determine the electrostatic field in O.

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Field generated by a hemisphere surface charge.

Considering a half sphere of center O, of radius R, uniformly charged surface with the surface density s.

1. Determine the electrostatic field at the point O.

2. In the same issue in a point M of the axis Oz of symmetry of this hemisphere.Find the result of Question 1.

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Field generated by a hemisphere surface charge.

Considering a half sphere of center O, of radius R, uniformly charged surface with the surface density s.

1. Determine the electrostatic field at the point O.

2. In the same issue in a point M of the axis Oz of symmetry of this hemisphere.Find the result of Question 1.

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Field created by a portion of a cone.

Consider a portion of a cone of half-angle at the apex a and R1 limit rays and R2 (R1 <R2).

This system is loaded on the surface with non-uniform density:

.

a is a constant homogeneous to a length and r the radius of the cone at a point on its axis of symmetry.

Determine the electrostatic field at the top of the cone O.

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Field created by a portion of a cone.

Consider a portion of a cone of half-angle at the apex a and R1 limit rays and R2 (R1 <R2).

This system is loaded on the surface with non-uniform density:

.

a is a constant homogeneous to a length and r the radius of the cone at a point on its axis of symmetry.

Determine the electrostatic field at the top of the cone O.

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