A thin infinite nonconducting sheet with uniform surface charge density S = + 11

Question

A thin infinite nonconducting sheet with uniform surface charge density S = +11.0 E-6 C/m2 lies in the y-z plane. A charge Q = +6.0 E-6 C is located on the x axis at a distance x = 34 cm from the sheet as shown.

A thin infinite nonconducting sheet with uniform surface charge density S = +11.0 E-6 C/m2 lies in the y-z plane. A charge Q = +6.0 E-6 C is located on the x axis at a distance x = 34 cm from the sheet as shown. Find the magnitude of the electric field at a point P with the coordinates x = y = 34 cm, z = 0.

Explanation / Answer

EF at P due to infnite sheet Ex =sigma/2 e0 = 11*10^-6/(2*8.81*10^-12)   = 6.21*10^5 N/C

Ef at P due Q is Ey = Kq/r^2 = 9e9* 6uC/034^2 = 4.67 *10^5

Enet = sqrt (Ex^2 +Ey^2)

Enst = sqrt(6.21^2 +4.67^2 ) = 7.77 *10^5 N/C

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