Two concentric spheres are shown in the figure. The inner sphere is a solid nonc

Question

Two concentric spheres are shown in the figure. The inner sphere is a solid nonconductor and carries a charge of +5.00 µC uniformly distributed over its outer surface. The outer sphere is a conducting shell that carries a net charge of -8.00 µC. No other charges are present. The radii shown in the figure have the valuesR 1 = 10.0 cm, R 2 = 20.0 cm, and R 3 = 30.0 cm. (k = 1/4? ?0 = 8.99 × 109 N · m2/C2)

(a) Find the total excess charge on the inner surfaces of the conducting sphere

(b) Find the total excess charge on the outer surfaces of the conducting sphere

(c) Find the magnitude of the electric field at the distance r = 9.5 cm from the center of the inner sphere.

(e) Find the magnitude of the electric field at the distance r = 15 cm from the center of the inner sphere.

(g) Find the magnitude of the electric field at the distance r = 27 cm from the center of the inner sphere.

(i) Find the magnitude of the electric field at the distance r = 35 cm from the center of the inner sphere.

If you could explain at least one or two, you don't have to show the work for the rest that are similar. Thank you!

Explanation / Answer

Here ,

a) total excess charge on the inner surface = -charge on the inner charge

total excess charge on the inner surface = - 5 uC

the total excess charge on the inner surface is -5 uC

b) on the outer surfa e

Qin + Qo = Qtot

-5 + Qo = -8

Qo = -3 nC

the total charge on the outer surface is -3 nC

c)

electric field at r = 9.5 cm

E = 9*10^9 * 0/(0.095^2)

E = 0 N/C

the electric field is 0 N/C

d)

electric field at r = 15 cm

E = 9*10^9 * 5 *10^-6/.15^2

E = 2 *10^6 N/C

the electric field is 2 *10^6 N/C

e)

the electric field inside the metal is zero

the electric field at r = 27 cm is zero

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