A charged sphere of radius R1=0.1 cm and total charge Q=5.7 nanoCoulomb is place

Question

A charged sphere of radius R1=0.1 cm and total charge Q=5.7 nanoCoulomb is placed at the center of a hollow spherical conducting shell (inner radius R2=1.0 cm, outer radius  R3=2.0 cm) which has a net charge Qshell= - 4.0 nanoCoulomb. (See the figure, but note that the figure is not drawn to scale)

A charged sphere of radius R1=0.1 cm and total charge Q=5.7 nanoCoulomb is placed at the center of a hollow spherical conducting shell (inner radius R2=1.0 cm, outer radius R3=2.0 cm) which has a net charge Qshell= - 4.0 nanoCoulomb. (See the figure, but note that the figure is not drawn to scale) Find the magnitude of the electric field, E, outside of the spherical shell at a distance of 10.3 cm from its center. (Give your answer in units of Newtons/Coulomb)

Explanation / Answer

the net charge will be due to both the shell and the inner charge,

therefore,

E=k(q1+q2)/x^2

=9*10^9*(5.7-4)*10^-9/(0.103)^2

=1442.17 N/C^2

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