Q2. OVERLAPPING SPHERES OF CHARGE You have two spheres. The first is centered at the origin, has uniform positive charge density p, and radius Ro. The second has uniform negative charge density -p, same radius Ro. Its center is displaced up from the origin by a distance d. +p a) Show that the E field in the region of overlap of the two spheres is spatially constant, and find its value. (Please check that the units are correct) [Hint: You will first want to figure out what the E field is in a single sphere with uniform charge density p. It is definitely not zero, nor is it uniform!]

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Q2. OVERLAPPING SPHERES OF CHARGE
You have two spheres. The first is centered at the origin, has uniform
positive charge density p, and radius Ro. The second has uniform
negative charge density -p, same radius Ro. Its center is displaced up
from the origin by a distance d.
+p
a) Show that the E field in the region of overlap of the two spheres is
spatially constant, and find its value. (Please check that the units are
correct) [Hint: You will first want to figure out what the E field is in a single sphere with
uniform charge density p. It is definitely not zero, nor is it uniform!]
Transcribed Image Text:Q2. OVERLAPPING SPHERES OF CHARGE You have two spheres. The first is centered at the origin, has uniform positive charge density p, and radius Ro. The second has uniform negative charge density -p, same radius Ro. Its center is displaced up from the origin by a distance d. +p a) Show that the E field in the region of overlap of the two spheres is spatially constant, and find its value. (Please check that the units are correct) [Hint: You will first want to figure out what the E field is in a single sphere with uniform charge density p. It is definitely not zero, nor is it uniform!]
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