A hollow metal sphere has inner and outer radii of 20.0 cm and 30.0 cm. respecti

Question

A hollow metal sphere has inner and outer radii of 20.0 cm and 30.0 cm. respectively. As shown in the figure, a solid metal sphere of radius 10.0 cm is located at the center of the hollow sphere. The electric field at a point P, a distance of 15.0 cm from the center, is found to be E1 = 1.50 middot 10^4 N/C. directed radically inward. At point Q, a distance of 35.0 cm from the center, the electric field is found to be E2 = 1.00 middot 10^4 N/C, directed radically outward. Determine the total charge on the surface of the inner sphere, the inner surface of the hollow sphere, and the outer surface of the hollow sphere.

Explanation / Answer

a)

In the

let q is the charge inner sphere surface.

Formula

E1 = -k*q/r^2

q = -E1*r^2/k

= -1.5*10^4*0.15^2/(9*10^9)

= -3.75*10^-8 C or -37.5 nC

b)

The

so, charge on inner surface of hollow sphere +3.75*10^-8 C or +37.5 nC

let Q is the charge on our surface of the hollow sphere.

E2 = k*Q/r^2

Q = E2*r^2/k

= 1*10^4*0.35^2/(9*10^9)

= 1.36*10^-7 C

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