1 Aufgabe 1 Let a point charge q be given which is located at a distance a from the centre of an earthed conductive sphere of radius R with a > R. R The potential outside the sphere can be calculated using the Method of image charges. For this, a charge q' = =R must be placed at a distance b = R from the centre point. ("inside the sphere"). %3D a 1. Show that with this arrangement the potential on the surface of the sphere satisfies the boundary condition of the original problem V(R, 0) = 0 %3D 2. Calculate the energy of this configuration (e.g. via the Coulomb force).

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Aufgabe 1
Let a point charge q be given which is located at a distance a from the centre
of an earthed conductive sphere of radius R with a > R.
The potential outside the sphere can be calculated using the Method of image
charges. For this, a charge q'
the centre point. ("inside the sphere").
Ra must be placed at a distance b = E from
a
1. Show that with this arrangement the potential on the surface of the sphere
satisfies the boundary condition of the original problem V(R, 6) = 0
2. Calculate the energy of this configuration (e.g. via the Coulomb force).
Transcribed Image Text:1 Aufgabe 1 Let a point charge q be given which is located at a distance a from the centre of an earthed conductive sphere of radius R with a > R. The potential outside the sphere can be calculated using the Method of image charges. For this, a charge q' the centre point. ("inside the sphere"). Ra must be placed at a distance b = E from a 1. Show that with this arrangement the potential on the surface of the sphere satisfies the boundary condition of the original problem V(R, 6) = 0 2. Calculate the energy of this configuration (e.g. via the Coulomb force).
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