1. A solid ball of charged material with radius (R) carries a volume charge density of plo) = 4 for rSR and p=0 for r> R. Find the electric field everywhere. 2. A certain infinitely long wire carries a linear charge density (A). A charged infinitely long cylindrical shell surrounds the wire co-axially. The cylindrical shell has a radius of (R) and a surface charge density .Find the electric field vector everywhere. of a 2nR

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PHYS 2263 (Physics II)
Homework 3
1. A solid ball of charged material with radius (R) carries a volume charge density of p(r) = 4 forr<R
and p= 0 for r >
Find the electric field everywhere.
2. A certain infinitely long wire carries a linear charge density (A). A charged infinitely long cylindrical
shell surrounds the wire co-axially. The cylindrical shell has a radius of (R) and a surface charge density
of a =
Find the electric field vector everywhere.
2nR
3. a) A hollow sphere with surface charge density o, and radius ri sits nested inside a second sphere with
radius ry > r1. What surface charge density og must the outer shell have in order for the magnitude
of the electric field outside of the outer shell to be zero? b) Given this value of a2, what is the electric
field between the spheres?
4. An electric field with a magnitude of (E) is measured a distance (d) away from the surface of a hollow
shell of charge. The shell has a radius of (R). In the absence of any other objects, find the electric field
vector everywhere.
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Transcribed Image Text:13:07 Вack Homework_3.pdf PHYS 2263 (Physics II) Homework 3 1. A solid ball of charged material with radius (R) carries a volume charge density of p(r) = 4 forr<R and p= 0 for r > Find the electric field everywhere. 2. A certain infinitely long wire carries a linear charge density (A). A charged infinitely long cylindrical shell surrounds the wire co-axially. The cylindrical shell has a radius of (R) and a surface charge density of a = Find the electric field vector everywhere. 2nR 3. a) A hollow sphere with surface charge density o, and radius ri sits nested inside a second sphere with radius ry > r1. What surface charge density og must the outer shell have in order for the magnitude of the electric field outside of the outer shell to be zero? b) Given this value of a2, what is the electric field between the spheres? 4. An electric field with a magnitude of (E) is measured a distance (d) away from the surface of a hollow shell of charge. The shell has a radius of (R). In the absence of any other objects, find the electric field vector everywhere. Dashboard Calendar To Do Notifications Inbox
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