R +Q r +p Figure 3: r = x² + y2 + z2 3. Sphere with electric charge +Q and infinite sphere at infinity with electric charge -Q. Consider a sphere of radius R field with electric charge of constant density p. (a) What is the units for the charge density p? (b) Express the total charge Q of the sphere in terms of this charge density. (c) Uses Gauss's Law to determine the electric field inside and outside the sphere. Express your answer in two forms: (i)in terms of total charge Q and (ii)in terms of charge density p.

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R
+Q
+p
Figure 3: r = Vx2 + y2 + z²
3. Sphere with electric charge +Q and infinite sphere at infinity with electric charge -Q.
Consider a sphere of radius R field with electric charge of constant density p.
(a) What is the units for the charge density p?
(b) Express the total charge Q of the sphere in terms of this charge density.
(c) Uses Gauss's Law to determine the electric field inside and outside the sphere. Express
your answer in two forms: (i)in terms of total charge Q and (ii)in terms of charge density p.
(d) Make a qualitative[but accurate] graph of the electric field from r =
0 to r = ∞.
(e) Compute the potential relative to infinity V – V. at the following points (i) r =
Transcribed Image Text:R +Q +p Figure 3: r = Vx2 + y2 + z² 3. Sphere with electric charge +Q and infinite sphere at infinity with electric charge -Q. Consider a sphere of radius R field with electric charge of constant density p. (a) What is the units for the charge density p? (b) Express the total charge Q of the sphere in terms of this charge density. (c) Uses Gauss's Law to determine the electric field inside and outside the sphere. Express your answer in two forms: (i)in terms of total charge Q and (ii)in terms of charge density p. (d) Make a qualitative[but accurate] graph of the electric field from r = 0 to r = ∞. (e) Compute the potential relative to infinity V – V. at the following points (i) r =
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