Question

A thin-walled metal spherical shell of radius a = 8 m has a charge qa = 23 C. Concentric with it is a thin-walled metal spherical shell of radius b = 7a and charge qb = 27 C. Find the electric field at points a distance r from the common center, where (a) r = 2.4 m, (b) r = 16 m, and (c) r = 84.0 m.

Answer #1

given

a = 8 m

q_{a} = 23 C

b = 7a

q_{b} = 27 C

(a) r = 2.4 m

using equation

E = Q / 4
_{o}
r^{2}

r = 2.4 < a

so

**E = 0 N/C ( no electric field )**

b )

r = 16 m

E = Q / 4
_{o}
r^{2}

= 9 X 10^{9} X ( 23 + 27 ) / 16^{2}

**E = 1.757 X 10 ^{9} N/C**

c )

r = 84 m

E = Q / 4
_{o}
r^{2}

= 9 X 10^{9} X ( 23 + 27 ) / 84^{2}

**E = 6.377 X 10 ^{7} N/C**

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