A positive 1 µC point charge is placed at the origin. A thick conducting (metal)

Question

A positive 1 µC point charge is placed at the origin. A thick conducting (metal) spherical shell of inner radius 15 cm and outer radius 20 cm carries a total positive charge of 4 µC and is placed centered at the origin.
(a) Which is the charge on the inner surface of the spherical shell? µC
(b) What is the charge on the outer surface of the spherical shell?
µC
(c) What is the magnitude and direction of the electric field 10 cm from the origin..
Magnitude
N/C
direction
(d) What is the magnitude and direction of the electric field 18 cm from the origin..
Magnitude N/C
direction
(e) What is the magnitude and direction of the electric field 30 cm from the origin..
Magnitude N/C
direction

Explanation / Answer

a). the charge on the inner surface of the spherical shell -1 µC .

b). the charge on the outer surface of the spherical shell is 5 µC .

c). the magnitude and direction of the electric field 10 cm from the origin is
k(1 µC )/(10cm)^2  =>8.9 x 10^11 N/C along +x axis.

d).the magnitude and direction of the electric field 18 cm from the origin is ZERO,as electric field inside the conductor is zero.

e).the magnitude and direction of the electric field 30 cm from the origin
from the gauss surface total charged enclosed in sphere of 30cm is 5 µC
so.........
k(5 µC )/(30cm)^2  => 0.4933  x 10^12 N/C along + x axis.....

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