Two spherical shells have a common center. A -1.00x10 -6 C charge is spread unif
ID: 1664038 • Letter: T
Question
Two spherical shells have a common center. A -1.00x10-6 C charge is spread uniformly over the inner shell,which has a radius of 0.050 m. A +5.00 x10-6 C charge isspread uniformly over the outer shell, which has a radius of 0.15m. Find the magnitude and direction of the electric field at adistance (measured from the common center) of
(a) 0.20 m,
E = C/NCNN/Cradially outwardradially inwardno direction
(b) 0.10 m,
E = CC/NN/CNradially inwardradially outwardno direction
(c) 0.025 m.
E = N/CCNC/Nradially outwardradially inwardno direction
Explanation / Answer
a) r = 0,2 m which is at the outside of the sphere. So both shell cause electric field, E=k(Q+q)/R^2=9*10^5(V/m) E is positive so it radially outward b) r =0,1 so it is between the two shells. The outer shell does notcause any electric field. E=kQ/r^2 = -9*10^5(V/m) it is negative so it is inward c) r = 0,025 so it is inside both shells, the electric field atthis point is zero
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