Charge on two concentric spherical shells

[brianeyes88677]

There are two spherical shells in different sizes and they are concentric. Now if I connect a battery to the two spheres (connect the negative pole to the smaller sphere and connect the positive pole to the bigger sphere). Will this system become stable? Is there any situation for the charges on these spheres stay at the same electric potential? Can this system make a kind of capacitor?

 

[Suraj M]

s there any situation for the charges on these spheres stay at the same electric potential? Can this system make a kind of capacitor?

I feel these 2 statements are contradicting each other, can the capacitor have no voltage difference between its surfaces when connected to a battery?