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Michel Delaboure
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Corrected Exercises Electrostatic potential
∎ 1. The potential field created by a disc at a point on its axis of revolution . ~ ∎ ( The Solution )   ∎ 2. Potential and field created by a charged hemisphere surface ~ ∎ ( the solution ) ∎ 3. The potential created by a portion of a cone ~ ∎ ( The soluti...
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Exercise Field Lines - electrostatic potential
Considering the electrostatic field in a plane defined by its components in polar coordinates: Determine the equation of the field lines. Back to the list of electromagnetism corrected exercises
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Solution : Potential created by a cone portion - electrostatic potential - Corrected exercises electromagnetism
∎ Back to exercise   Consider a surface element S on the truncated cone centered about the point P. The Elemental electrostatic potential created at the point O of the axis Ox by a surface element dS centered about the point P is expressed as: so : We get :...
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Potential created by a cone portion - electrostatic potential - Corrected exercises electromagnetism
Consider a portion of a cone ,of half-angle with the vertex a and  limit rays R1 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 s...
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Potential field created by a hemisphere charged on surface - electrostatic potential - Corrected exercises electromagnetism
Considering a half sphere of center O, of radius R, uniformly charged on surface with the surface density σ. 1. Determine the electrostatic potential at a point M of the axis Oz of symmetry of this hemisphere. 2. Deduce the expression of the electrostatic f...
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Solution : Potential field created by a hemisphere charged on surface - electrostatic potential - Corrected exercises electromagnetism
∎ Back to exercise   1. Research of the potential.   Consider a surface element of the half sphere centered at a point P. The electrostatic potential created at a point M of the axis Oz is expressed as: By integration over the azimuthal angle and expressing...
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Potential field created by a disc at a point on its axis of revolution - electrostatic potential-Corrected exercises electromagnetism
Consider a disk its center O and its radius R. This system is loaded on the surface with the surface density:   a is a constant homogeneous to a length and r is the distance of a point P on the surface of the disc to its center . Determine the electrostatic...
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Solution : Potential field created by a disc at a point on its axis of revolution - electrostatic potential - Corrected exercises electromagnetism
∎ Back to exercise 1. The potential at a point M of the axis. Consider a surface area element of the disk centered at a point P. The electrostatic potential created at a point M of the axis Oz is expressed as: Since r and θ variables are separated : For the...
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Corrected exercises of Electrostatic field
► 1. Field the center of a ring having an opening. ~  ► (The solution ) ► 2. Field created by a hemisphere surface   charge . ~   ► ( The Solution )   ► 3. field created by a portion of a cone . ~   ► (The Solution ) ► 4. Field created by a disc at a point ...
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Electric field on the axis of a system (-q, + q) - Corrected exercises of electromagnetism
Electric field on the axis of a (- q + q). we have two point electrical charges carried by a x'Ox axis: - q on  A (- a) and + q on B (+ a) with   q positive. 1. Express the electric field created by M (x) by the distribution in space, M belonging to the x'O...
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