A solid conducting sphere of radius 2.00 cm has a charge of 6.88 C. A conducting

Question

A solid conducting sphere of radius 2.00 cm has a charge of 6.88 C. A conducting spherical shell of inner radius 4.00 cm and outer radius 5.00 cm is concentric with the solid sphere and has a charge of 2.96 C. Find the electric field at the following radii from the center of this charge configuration.

(a) r = 1.00 cm magnitude:_________ N/C

direction:____________

(b) r = 3.00 cm magnitude:____________ N/C

direction:_________________

(c) r = 4.50 cm magnitude:_____________ N/C

direction:______________

(d) r = 7.00 cm magnitude:_____________ N/C

direction:______________

Explanation / Answer

(a) At r = 1 cm ,

E = 0 as no charge is enclosed

(b) At r = 3 cm

E = kqenclosed / r2

E = 9e9*6.88e-6 / 0.032

E = 6.88e7 N/C

(c) At r = 4.50 cm

E = 0

(d) At r = 7 cm

q = 6.88 - 2.96

q = 3.92 uC

E = 9e9*3.92e-6 / 0.072

E = 7.2e6 N/C

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