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 density ?1 = 0.24 ?C/m2. Another infinite sheet of charge with uniform                     charge density ?2 = -0.45 ?C/m2 is located at x = c = 32 cm.. An uncharged infinite conducting slab is placed halfway in between these sheets ( i.e., between x                     = 15 cm and x = 19.5 cm).
                    

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

                    2) What is V(S) - V(P), the potential difference between point P and point S, located at (x,y) = (25 cm, -18 cm)?                 

Explanation / Answer

Eleft = sigma1/2e0 + sigma2/e0

=(0.24*10^-6/8.85*10^-12)- (0.45*10^-6/8.85*10^-12)

= 0.02712- 0.0508 = 0.023 *10^6 N/C

or an infinty sheets of EF is indepnedent of distnce from the plates

1. Enet = 0.023*10^6 = 2.3*10^4 N/C

2.. V = ( Ep-Er)dx   = zero

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