Electric Field - Electric Potential?

Question

Two solid stainless steel, conducting spherical balls, of radii r1 = 2.0 cm and r2 = 10.0 cm, are connected by a thin copper wire, as shown in the figure (click on link below for figure). The spheres are 1.00 m apart, center-to-center. A total charge of Q = 12 microC is shared by the two spheres.

Link for figure: http://img108.imageshack.us/img108/5205/physicszs5.jpg

a) What are the charges Q1 and Q2 carried by the ball #1 (on the left) and ball #2 (on the right), respectively?

b) Taking the potential at infinity to be zero, what is the electric potential at the surfaces of the two spheres?

c) What are the electric fields just inside the spheres?

d) What are the electric field magnitudes just outside the spherical surfaces, and in what directions do they point?

e) What are the electric field x- and y- components, and also magnitude and direction, at a point P, 1.00 m away from the wire along the y-axis, as shown in the figure?

This is the review for my test. Please help. Thanks

Answer 1

a) The charge will be divided proportionately to their surface area
Q1=Q( A1/A2)= Q(4 pi R1^2/4 pi R2^2)
Q1=Q(R1/R2)^2 and
Q1=Q(R2/R1)^2

b)
V1 = k Q1 / r1
V2 = k Q2 / r2

c) Inside the spheres we have V1=V2=0

and so on

Answer 2

electric powered container E= - dV /dr As means is consistent dV / dr =0 for this reason electric powered container is 0 in a region the position electric powered means is consistent. as an get jointly, interior a hollow charged matallic sphere, the electric powered container IS 0 even if the flair interior is consistent and equivalent to means on the suface of charged sphere