Question

PART A
A metallic spherical thin shell of radius 0.1 m is charged with a negative charge of 1 μC
a) With what minimum initial velocity should I launch an electron from very far
away so that it can reach the surface of the spherical shell?
b) With what minimum initial velocity should I launch a proton from very far
away so that it can reach the surface of the spherical shell?
c) What is the value of the electric field close to the surface of the shell?
d) If this shell is then put in contact through an electrical wire with another
metallic spherical thin shell of radius 0.05 m which is far away from the first
one and initially discharged, what will be the new value of the electric field near
the surface of the first shell?
e) What will be the value of the electric field near the surface of the second shell?
f) What are the energies of the configurations of charges before and after
connecting the two spheres with the wire
PART B
g) Imagine that the wire used in part d) to connect both spheres does not have a
negligible resistance and has instead a resistance of 1000 W . How would the
answers to d) ,e,) and f) change?
h) Explain in words what would be the difference between both cases.
PART C
i) Remove the wire connecting to the smaller sphere ( which is far away) and
just concentrate on the larger sphere .
j) Draw the magnitude of electric field as a function of the distance from the
center of that sphere. What is the value of that electric field at the following
distances from the center ( 0.2 m , 0.3 m, 0.4 m, )
k) Place a surrounding metallic hollow sphere of inner radius 0.25 m and outer
radius 0.35 m centered at the same point where your original sphere is. That
sphere is given a total charge of + 0. 8 μC.. but not connected or touching in
any way the original sphere. What is the value now at the same distances from
the center ( 0.2 m , 0.3 m, 0.4 m)?
l) What are the charges in the inner and outer surfaces of the hollow sphere?

Can you help me with part b and c

Answer 1