Two large, thin, charged plastic circular plates each of radius R are placed a short distance...

 

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Two large, thin, charged plastic circular plates each of radius R are placed a short distance s apart; s is much smaller than the dimensions of a plate (see figure below). The right-hand plate has a positive charge of +Q evenly distributed over its inner surface (Q is a positive number). The left-hand plate has a negative charge of -2Q evenly distributed over its inner surface. A very thin plastic spherical shell of radius r is placed midway between the plates (and shown in cross section). It has a uniformly distributed positive charge of +q. You can ignore the contributions to the electric field due to the polarization of the thin plastic shell and the thin plastic plates. (Assume the +x direction is to the right and the +y direction is upward. Use any variable or symbol stated above along with the following as necessary: 80.) Ey = 0 (a) Calculate the x and y components of the electric field at location A, a horizontal distance r/2 to the right of the center of the sphere. Ex = Ey = 0 H KI 3r A +9 -20 +0 Charged plate (b) Calculate the x and y components of the electric field at location B, a horizontal distance 3r to the left of the center of the sphere. Ex = Ey = 0 S<<<R (c) Calculate the x and y components of the electric field at location C, a horizontal distance 3r to the left and a vertical distance 3r above the center of the sphere. Ex = X Two large, thin, charged plastic circular plates each of radius R are placed a short distance s apart; s is much smaller than the dimensions of a plate (see figure below). The right-hand plate has a positive charge of +Q evenly distributed over its inner surface (Q is a positive number). The left-hand plate has a negative charge of -2Q evenly distributed over its inner surface. A very thin plastic spherical shell of radius r is placed midway between the plates (and shown in cross section). It has a uniformly distributed positive charge of +q. You can ignore the contributions to the electric field due to the polarization of the thin plastic shell and the thin plastic plates. (Assume the +x direction is to the right and the +y direction is upward. Use any variable or symbol stated above along with the following as necessary: 80.) Ey = 0 (a) Calculate the x and y components of the electric field at location A, a horizontal distance r/2 to the right of the center of the sphere. Ex = Ey = 0 H KI 3r A +9 -20 +0 Charged plate (b) Calculate the x and y components of the electric field at location B, a horizontal distance 3r to the left of the center of the sphere. Ex = Ey = 0 S<<<R (c) Calculate the x and y components of the electric field at location C, a horizontal distance 3r to the left and a vertical distance 3r above the center of the sphere. Ex = X

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