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Ready2GoXtr
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A point charge inside infinite dielectric material
1. The problem statement, all variables and given known data
A point charge is an infinite medium of dielectric material having a relative permittivity [tex]\epsilonr[/tex]. <--- epsilon(sub r). Find the electric field vector and the potential function at any point in space, assuming that the potential is zero volts at infinity.
D = [tex]\epsilon[/tex] * E + P
P = [tex]\epsilon0[/tex] * [tex]\chie[/tex] vector E
[tex]\epsilon[\tex] = [tex]\epsilon0[/tex] * [tex]\epsilonr[/tex]
[tex]\chie[/tex] = [tex]\epsilonr[/tex] - 1
well its not letting me put it in right so I am going to enter them in with () next to them
D(vector) = epsilon*E(vector) + P(vector)
P(vector) = epsilon(sub 0)*chi(sub e)*E(vector)
epsilon = epsilon(sub 0)*epsilon(sub r)
chi(sub e) = epsilon(sub r) - 1
Electric Field of Point Charge = k*q/r^2
Electric Field of Sphere = q/(4*pi*epsilon(sub0)*r^2)
Im not quiet sure what my first step would be. I would think that a point charge inside a dielectric medium would have a reduced electric field, but it is infinite so wouldn't its electric field be nothing?
1. The problem statement, all variables and given known data
A point charge is an infinite medium of dielectric material having a relative permittivity [tex]\epsilonr[/tex]. <--- epsilon(sub r). Find the electric field vector and the potential function at any point in space, assuming that the potential is zero volts at infinity.
Homework Equations
D = [tex]\epsilon[/tex] * E + P
P = [tex]\epsilon0[/tex] * [tex]\chie[/tex] vector E
[tex]\epsilon[\tex] = [tex]\epsilon0[/tex] * [tex]\epsilonr[/tex]
[tex]\chie[/tex] = [tex]\epsilonr[/tex] - 1
well its not letting me put it in right so I am going to enter them in with () next to them
D(vector) = epsilon*E(vector) + P(vector)
P(vector) = epsilon(sub 0)*chi(sub e)*E(vector)
epsilon = epsilon(sub 0)*epsilon(sub r)
chi(sub e) = epsilon(sub r) - 1
Electric Field of Point Charge = k*q/r^2
Electric Field of Sphere = q/(4*pi*epsilon(sub0)*r^2)
The Attempt at a Solution
Im not quiet sure what my first step would be. I would think that a point charge inside a dielectric medium would have a reduced electric field, but it is infinite so wouldn't its electric field be nothing?
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