An infinite sheet of charge is located in the y-z plane at x = 0 and has uniform

Question

An infinite sheet of charge is located in the y-z plane at x = 0 and has uniform charge denisity ?1 = 0.64 ?C/m2. Another infinite sheet of charge with uniform charge density ?2 = -0.25 ?C/m2 is located at x = c = 35.0 cm.. An uncharged infinite conducting slab is placed halfway in between these sheets ( i.e., between x = 15.5 cm and x = 19.5 cm).
1) What is Ex(P), the x-component of the electric field at point P, located at (x,y) = (7.75 cm, 0)?
N/C
2) What is ?a, the charge density on the surface of the conducting slab at x = 15.5 cm?
?C/m2
3)
What is V(R) - V(P), the potentital difference between point P and point R, located at (x,y) = (7.75 cm, -19.5 cm)?

V
4)
What is V(S) - V(P), the potentital difference between point P and point S, located at (x,y) = (27.25 cm, -19.5 cm)?

V

5)
What is Ex(T), the x-component of the electric field at point T, located at (x,y) = (42.75 cm, -19.5 cm)?

N/C

6) Which of the folowing plots gives the correct x-dependence for the potential function between x = 0 and x = 35.0 cm?


A
B
C
D
E
F

Explanation / Answer

For 6, the y-axis is potential (V). The electric field is positive, which we got from 1), so as we go from x, the potential gets weaker. It doesn't change across the bar. It resumes getting weaker as x increases. So down, flat, down.

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