Question

1)Two plane plate capacitors have the same capacitance.If the distance among the plates of the first capacitor is the double of the one of the second capacitor,how is the relationship among the area of the plates ?

2)You have two equal and opposite charged located at a distance d from one another.

a)calculate the potentialin every point of the space(set the origin of the coordinate system in the mid point of the segment connecting the charges)

b)calculate the value of the potential on the plane passing through the mid point among the charges,and perpandicular to the segment connecting the charges.Is this plane an equipotential surface ?

c)imagine now that the negative charge does not exist,and instead there is a conducting plane located in the same place of the plane described in part b).Find the surface charge distribution in every point of the plane.Is it uniform ?

d)imagine the positive charge is on a conducting sphere of radius R.Find the capacitance of the system composed by the sphere and the plane,when R<<h.

Answer 1