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# Estimating the Electric Field

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A non-conducting solid sphere with diameter of d = 40 cm carries 100 μC electric charges, which are distributed uniformly throughout its volume. Using Gauss's law

a) Find the electric field strength 10 cm from the sphere's center E (r = 10 cm)

b) Find the electric field strength 20 cm from the sphere's center E (r = 20 cm)

c) Find the electric field strength 30 cm from the sphere's center E (r = 30 cm)

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#### Solution Preview

R = 40/2 = 20 cm = 0.2 m
Q = 100 micro coulomb = 1*10^-4 C
e == epsilon_0 = 8.86*10^-12 C^2 m^-2 N^-1
k = 1/(4*pi*e) = 9*10^9 N m^2 C^-2

a.
Radius of Gaussian surface,
r = 10 cm = 0.1 m < R
Charge ...

#### Solution Summary

Using Gauss law, an electric field at different points (inside and outside) due to a uniformly charged non-conducting sphere are estimated.

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