A solid nonconducting sphere (whose radius is 5 cm and uniformly distributed cha

Question

A solid nonconducting sphere (whose radius is 5 cm and uniformly distributed charge is Q=-1C) is surrounded by a nonconducting spherical shell ( whose inner radius is 10 cm, outer radius is 15 cm and uniformly distributed charge is Q=+4C). If both spheres have a common center, what is the direction and magnitude of the electric field at r=20 cm from the center ( in N/C)?

D9) A solid nonconducting sphere (whose radius is 5 cm and uniformly distributed charge is -1 C) is surrounded by a nonconducting spherical shell (whose inner radius is 10 cm, outer radius is 15 cm and uniformly distributed charge is Q +4 C). If both spheres have a commor center, what is the direction and magnitude of the electric field at r = 20 crn from the center (in N/C)? -7

Explanation / Answer

Eletric field at r = 6 cm is given by:

E = k*q/r^2

where

q = charge enclosed by the volume of sphere with r = 20 cm

so charge q = Q* r^3/R^3

q = -1 uC*(20/5)^3 =-64 uC

So, E = 9*10^9* -64*10^-6/0.2^2

E = 1.44*10^7 N/C

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