1. A metal sphere has a radius R and is isolated from all other bodies.
Express the potential of the surface of the sphere as a function of the
charge placed on it. integrate this expression to determine the work
necessary to charge the sphere up to a potential V.
2. A spherical conductor of radius a, has a Q1 placed on it. This is
surrounded by a thin spherical conducting shell of radius b.The shell is
connected to the potential difference V1
(a Find the total charge on the outer surface of the shell and on the inner
surface of the shell?
(b)Find the field and potential at a radius r from the center of the sphere,
where
(i) r
b
3. An infinite rod of radius a carries a uniform volume charge density p.
(a)Obtain expression for the electric field inside and outside the rod
(b)Sketch the field as a function of r.
4. A spherical conductor of radius R= 1.5 cm carries the charge of 45u,
(a) What is the charge density (p) of the sphere?
(b) Calculate the electric field at a point r= 0.5 cm from the center of the
sphere.
(c) What is the electric field on the surface of the sphere?
