# Calculate the electric field everywhere.

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A spherically symmetric charge density occupies the region r<a. The charge density increases with radius as rho(r)=(rho,o)r^2 where rho,o is a constant. Calculate the electric field everywhere.

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#### Solution Preview

For r<a

By Gauss Law,

flux*eps = total charge

=>E*4pi*eps*r^2 = integration(0 to r) [rho_o*r^2*4pi*r^2*dr]

=> ...

#### Solution Summary

Solution uses Gauss Law to solve for the electric field when r>a, r = a, and r<a.

$2.49