For a charged solid metal sphere with total charge Q and radius R centered on th

Question

For a charged solid metal sphere with total charge Q and radius R centered on the origin: Select "True" or "False" for each statement.
a) True False  If the solid sphere is an insulator (instead of metal) with net charge Q, the net charge on the inside of the solid sphere is negative.
b)True False  The electric field near the metal surface on the outside is normal to the surface.
c)True False  The electric field for the metal sphere at r << R will be the same as the field of a point charge, Q, at the origin.
d)True False  The electric field anywhere inside the solid metal sphere is zero.
e)True False  The net charge Q is all on the surface of the solid metal sphere.
f)True False  If the solid sphere is an insulator (instead of metal) with net charge Q, the electric field for r >> R would be the same as that of a conductor with the same shape and charge.

Explanation / Answer

a) False If the solid sphere is an insulator (instead of metal) with net charge Q, the net charge on the inside of the solid sphere is negative.

for a insulated sphere , charge will be unformly distributed.

b)True The electric field near the metal surface on the outside is normal to the surface.

True , as the metal surface is equipotential surface ,electric field will be perpendicular to the surface.

c)True The electric field for the metal sphere at r << R will be the same as the field of a point charge, Q, at the origin.

sphere will act as a point charge particle outside the sphere.

d)True The electric field anywhere inside the solid metal sphere is zero.

as all the charge will be on the outer surface of the metal sphere.

e)True The net charge Q is all on the surface of the solid metal sphere.

all the charge will be on the outer surface of the metal sphere.

f)True False If the solid sphere is an insulator (instead of metal) with net charge Q, the electric field for r >> R would be the same as that of a conductor with the same shape and charge.

for very far away , both spheres will behave as same charges

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