A charged sphere of radius R1=0.2 cm and total charge Q=4.8 nanoCoulomb is place

Question

A charged sphere of radius R1=0.2 cm and total charge Q=4.8 nanoCoulomb is placed at the
center of a hollow spherical conducting shell (inner radius R2=1 cm, outer radius R3=2 cm)
which has a net charge Qshell= - 4.0 nanoCoulomb. (See the figure, but note that the figure is not
drawn to scale) Determine the resulting charge density ? on the inner surface of the conducting spherical shell. (Give your answer in units of nanoCoulomb / cm2)

A charged sphere of radius R1=0.2 cm and total charge Q=4.8 nanoCoulomb is placed at the center of a hollow spherical conducting shell (inner radius R2=1 cm, outer radius R3=2 cm) which has a net charge Qshell= - 4.0 nanoCoulomb. (See the figure, but note that the figure is not drawn to scale) Determine the resulting charge density ? on the inner surface of the conducting spherical shell. (Give your answer in units of nanoCoulomb / cm2)

Explanation / Answer

net charge on the inside the sphere = 4.8-4 = 0.8 nC

charge density sigma = charge/area = 0.8 *10^-9/(4pi *0.01^2)

= 6.36 *10^-7 C/m^2

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