An infinite sheet of charge is located in the y-z plane at x = 0 and has uniform
ID: 1536916 • Letter: A
Question
An infinite sheet of charge is located in the y-z plane at x = 0 and has uniform charge denisity 1 = 0.32 C/m2. Another infinite sheet of charge with uniform charge density 2 = -0.29 C/m2 is located at x = c = 23 cm.. An uncharged infinite conducting slab is placed halfway in between these sheets ( i.e., between x = 9.5 cm and x = 13.5 cm).
1/ What is Ex(P), the x-component of the electric field at point P, located at (x,y) = (4.75 cm, 0)?
2/ What is a, the charge density on the surface of the conducting slab at x = 9.5 cm?
3/ What is V(R) - V(P), the potentital difference between point P and point R, located at (x,y) = (4.75 cm, -13.5 cm)?
4/ What is V(S) - V(P), the potential difference between point P and point S, located at (x,y) = (18.25 cm, -13.5 cm)?
5/What is Ex(T), the x-component of the electric field at point T, located at (x,y) = (27.75 cm, -13.5 cm)?
6/
Explanation / Answer
1) Ex(P) = (sigma1 + sigma2)/(2*epsilon)
= (0.32 + 0.29)*10^-6/(2*8.854*10^-12)
= 34447.7 N/c
2) sigma_a = -(0.32 + 0.29)*10^-6/2
= -0.3*10^-6 C/m^2
= -0.3 micro C/m^2
3) VR - VP = 0
4) VS - Vp = -E*d
= -34447.7*(0.1975 - 0.0525 - 0.02)
= -3961.5 volts
5) Ex(T) = (sigma1 - sigma2)/(2*epsilon)
= (0.32 - 0.29)*10^-6/(2*8.854*10^-12)
= 1694.14N/c