# When a charged rod is brought close to a conducting metal of any shape, is the magnitude of charge induced on the metal same as that of on the rod?

I think the question title is clear. What happens when other conducting metals are also around the rod? How could you explain intuitively?

Assuming everything is within finite distances, yes the charge will always be induced. Take an arbitrary shape and give it an arbitrary distribution. If we step back, 'far enough,' the field will kind of look like a charged particle of the total charge, $q$, of the mystery object. Now let's bring in a conductor of your (finite) choosing from far away. What happens to it? Well, it sees a charged particle, so it induces that charge. Bringing it closer and closer doesn't change the fact that there's an overall charge $q$ right there. The charge distributions are whole other story! The overall charge, it's just this.