An uncharged spherical conductor with an internal cavity is shown in the below figure. A positive charge of magnitude
q
is placed inside the cavity. Use the closed surface
S
along with Gauss's law to answer below questions. How much charge is induced on the inner surface of the conductor? How much charge is induced on the outer surface of the conductor? What is the magnitude of the electric field at a distance
R
from the center of the spherical conductor?
R
is greater than the radius of the conductor. . Give your answer in terms of
k,q
, R.

Question

An uncharged spherical conductor with an internal cavity is shown in the below figure. A positive charge of magnitude

q

is placed inside the cavity. Use the closed surface

S

along with Gauss's law to answer below questions. How much charge is induced on the inner surface of the conductor? How much charge is induced on the outer surface of the conductor? What is the magnitude of the electric field at a distance

R

from the center of the spherical conductor?

R

is greater than the radius of the conductor. . Give your answer in terms of

k,q

, R.

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