= Consider a square of side length b whose two diagonals lie on the x-axis and y-axis of our coordinate system. Two negative charges Q1 Q3 = √√29 are located in the top and bottom corner of the square (locations 1 and 3 in the schematic), whereas a positive charge Q2 +2q is located in the left corner of the square (location 2 in the schematic). In the center of the square (origin), there is a small neutral particle with polarizability a. = y b 2 4 x +2q b -√29 3 1. [8pts] Determine the electric field Ĕ 123 in the right corner of the square (position 4 in the schematic) that is due to the combined effect of the charges Q1, Q2, and Q3. 2. [4pts] Determine the net external field Ĕ123 at the location of the polar- izable particle. y 1 b 2 4 +2q 3. [8pts] Determine (i) the induced electric dipole moment p of the polarizable particle, and (ii) the ensuing electric field E in location 4.

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Consider a square of side length b whose two diagonals lie on
the x-axis and y-axis of our coordinate system. Two negative
charges Q1 Q3 = √√29 are located in the top and bottom
corner of the square (locations 1 and 3 in the schematic), whereas
a positive charge Q2 +2q is located in the left corner of the
square (location 2 in the schematic). In the center of the square
(origin), there is a small neutral particle with polarizability a.
=
y
b
2
4
x
+2q
b
-√29 3
1. [8pts] Determine the electric field Ĕ 123 in the right corner of the square (position 4 in the schematic) that is
due to the combined effect of the charges Q1, Q2, and Q3.
Transcribed Image Text:= Consider a square of side length b whose two diagonals lie on the x-axis and y-axis of our coordinate system. Two negative charges Q1 Q3 = √√29 are located in the top and bottom corner of the square (locations 1 and 3 in the schematic), whereas a positive charge Q2 +2q is located in the left corner of the square (location 2 in the schematic). In the center of the square (origin), there is a small neutral particle with polarizability a. = y b 2 4 x +2q b -√29 3 1. [8pts] Determine the electric field Ĕ 123 in the right corner of the square (position 4 in the schematic) that is due to the combined effect of the charges Q1, Q2, and Q3.
2. [4pts]
Determine the net external field Ĕ123 at the location of the polar-
izable particle.
y
1
b
2
4
+2q
3. [8pts] Determine
(i) the induced electric dipole moment p of the polarizable particle, and
(ii) the ensuing electric field E in location 4.
Transcribed Image Text:2. [4pts] Determine the net external field Ĕ123 at the location of the polar- izable particle. y 1 b 2 4 +2q 3. [8pts] Determine (i) the induced electric dipole moment p of the polarizable particle, and (ii) the ensuing electric field E in location 4.
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