Q3. In Figure 2, there is a positive charge, +q, at point P(d,0,0). At x=0, there is an infinite conducting sheet which is grounded (V=0). At x=3d, there is a constant surface charge density Ps [C/m²] covering whole y-z plane. Dielectric constant is also ɛ = ɛ, for x > 3d. Hint: Use image theorem. %3D +q a) Determine the electric field vectors at point C(x,y,z) where x E (0,3d). Hint: Be careful of what happens at x=3d. b) A(2d,0,0), B(3d',0,0), B(3d*,0,0). P,#0 Determine the electric field vectors at points 2d 3d 4d 5d Figure 2: Geometry of question 3

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Q3.
In Figure 2, there is a positive charge, +q, at point P(d,0,0).
At x=0, there is an infinite conducting sheet which is grounded
(V=0). At x=3d, there is a constant surface charge density
Ps [C/m²] covering whole y-z plane. Dielectric constant is
also ɛ, = ɛ, for x > 3d.
Hint: Use image theorem.
Eo
E
+q
a)
Determine the electric field vectors at point C(x,y,z)
P
A
where x E (0,3d).
Hint: Be careful of what happens at x=3d.
b)
A(2d,0,0), B(3d',0,0), B(3d*,0,0).
Determine the electric field vectors at points
2d
3d
4d
5d
Figure 2: Geometry of question 3
Transcribed Image Text:Q3. In Figure 2, there is a positive charge, +q, at point P(d,0,0). At x=0, there is an infinite conducting sheet which is grounded (V=0). At x=3d, there is a constant surface charge density Ps [C/m²] covering whole y-z plane. Dielectric constant is also ɛ, = ɛ, for x > 3d. Hint: Use image theorem. Eo E +q a) Determine the electric field vectors at point C(x,y,z) P A where x E (0,3d). Hint: Be careful of what happens at x=3d. b) A(2d,0,0), B(3d',0,0), B(3d*,0,0). Determine the electric field vectors at points 2d 3d 4d 5d Figure 2: Geometry of question 3
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