Suppose the conducting spherical shell of the figure below carries a charge of 2

Question

Suppose the conducting spherical shell of the figure below carries a charge of 2.90 nC and that a charge of -1.60 nC is at the center of the sphere. If a = 1.70 m and b = 2.30 m, find the electric field at the following:

(a) r = 1.50 m _________ N/C

(b) r = 2.20 m _________ N/C

(c) r = 2.50 m _________ N/C

(d) What is the charge distribution on the sphere?

inner surface __________nC

inner surface __________nC

An "A+" will be awarded for an answer that has detailed steps, a correct answer, and a timely response.

Much Love, ~ Lelani

Explanation / Answer

Given charge at the center of the shell Q = -1.6 nC Charge at the surface of the shell Q' = 2.9 nC radius of inner surface of the shell a = 1.7 m radius of outer surface of the shell   b= 2.3 m   Fron figure b            the electric field st r = 1.5 m is               E = k Q / r 2                     = (9*10^ 9 ) ( 1.6 *10 ^ -9 ) / ( 1.5 ) ^2                   = 6.4 N /C conducting shell creates zero field inside itself, it also has no electric field    so at r = 2.2 m   electric field is zero the electric field at at r = 2.5 m           here    r > b            charge     Q = 2.9 - 1.6   = 1.3 nC          Electric field                 E = kQ   / r ^2                  = ( 9*10 ^ 9 ) ( 1.3*10^ -9 )   / ( 2.5) ^2                  = 1.872 N / C    charge distributed on the sphere            Q = 2.9 - 1.6 = 13 nC

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