Question

Two thin plastic spherical shells (shown in cross section in the figure below) are uniformly charged. The center of the larger sphere is at (0, 0); it has a radius of 12 cm and a uniform positive charge of +6 × 10-9 C. The center of the smaller sphere is at (27 cm, 0); it has a radius of 3 cm and a uniform negative charge of-2 x 10-9 C. (a) What are the components EAx and EA,y of the electric field E at location A (6 cm to the right of the center of the large sphere)? Neglect the small contribution of the polarized molecules in the plastic, because the shells are very thin and don't contain much matter. (Indicate the direction with the sign of your answer.) EAX= 408.16 、N/C N/C (b) What are the components EB,x and EB,y of the electric field at location B (15 cm above the center of the small sphere)? Neglect the small contribution of the polarized molecules in the plastic, because the shells are very thin and don't contain much matter. (Indicate the direction with the sign of your answer.) N/C

Answer 1

B) Electric Field at B due to smaller sphere,
Ebx1 = 0
Eby1 = k*Q/r^2
Eby1 = (8.9*10^9 * 2*10^-9)/(0.15)^2
Eby1 = - 791.1 j^ N/C
Distance btw A & B = sqrt(27^2 + 15^2) = 30.89 cm

Electric Field at A due to smaller sphere,
Ebx2 = k*Q/r^2 * 27/30.89
Ebx2 = (8.9*10^9 * 2*10^-9)/(0.3089)^2 * 27/30.89
Ebx2 = + 163.07 i^ N/C

Eby2 = k*Q/r^2 * 15/30.89
Eby2 = (8.9*10^9 * 2*10^-9)/(0.3089)^2 * 15/30.89
Eby2 = 90.585 j^ N/C

Net Electric Fiel components,
Ebx = Ebx1 + Ebx2
Ebx = 163.07 N/C

Eby = Eby1 + Eby2
Eby = - 791.1 + 90.585 j^
Eby = - 700.51 N/C

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