A hollow conducting spherical shell has an inner radius of 7.93 cm and an outer

Question

A hollow conducting spherical shell has an inner radius of 7.93 cm and an outer radius of 9.93 cm. The electric field at the inner surface of the shell, Ei, has a magnitude of 52.1 N/C and points toward the center of the sphere, and the electric field at the outer surface, Eo, has a magnitude of 52.1 N/C and points away from the center of the sphere (see the figure).

a) Determine the magnitude of the charge on the inner surface of the spherical shell.

b) Determine the magnitude of the charge on the outer surface of the spherical shell.

A hollow conducting spherical shell has an inner radius of 7.93 cm and an outer radius of 9.93 cm. The electric field at the inner surface of the shell, Ei, has a magnitude of 52.1 N/C and points toward the center of the sphere, and the electric field at the outer surface, Eo, has a magnitude of 52.1 N/C and points away from the center of the sphere (see the figure). Determine the magnitude of the charge on the inner surface of the spherical shell. Determine the magnitude of the charge on the outer surface of the spherical shell.

Explanation / Answer

a)

E = k q1/r^2

==> q1 = r^2 E/k = 7.93e-2*7.93e-2*52.1/9e9 = 3.64E-11 C

b)

E = k q2/r^2

==> q2 = r^2 E/k = 9.93e-2*9.93e-2*52.1/9e9 = 5.71E-11 C

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