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6. a. In a vacuum, there is a vertical (10 m × 10 m) sheet of positive charge co

ID: 2003613 • Letter: 6

Question

6. a. In a vacuum, there is a vertical (10 m × 10 m) sheet of positive charge corresponding to the xy-plane. If there are 2.2 C of charge uniformly distributed on the sheet, determine the electric field in the space on either side beyond it.

b. There is a vertical (20 m × 10 m) sheet of charge corresponding to the yz-plane immersed in a medium having a relative permittivity of 20. If -4.0 mC of charge is uniformly distributed on the sheet, determine the electric field in the space on either side beyond it.

Explanation / Answer

a)
A = 10 m * 10 m= 100 m^2
Q = 2.2 C

E = Q / (2*A*ebsoleneo)
= 2.2 / (2*100*8.854*10^-12)
= 1.24*10^9 N/C

Positive sign shows that it is directed outward

b)
A = 20 m * 10 m= 200 m^2
Q = - 4 mC = C

E = Q / (2*A*k*ebsoleneo)
= -4 / (2*200*20*8.854*10^-12)
= - 5.65*10^7 N/C

Negative sign shows that it is directed inward