# Electrostatic induction, induced charges

Is it true that if a conducting object is not grounded, the nearby charge will induce equal and opposite charges in the conducting object?

It is mentioned on Wikipedia (electrostatic induction) but it is also mentioned that charges will appear such that the total electric field inside the conductor becomes zero.

My doubt is that which statement is true whether the charges induce such that the electric field inside the conductor becomes zero or the induced charge is equal in magnitude to the inducing charge (the charge which causes induction).

• For the ungrounded object, the induced charges are equal to each other, but to the external charge causing the effect. Commented Dec 15, 2015 at 15:02

If the conductor is unlimited in space (that happens only in physics exercise) the "other face" is moved to infinity, so also the charge that should balance that on conductor, and so if you integrate the charge density in space ($\mathbb{R}^3$ doesn't include the "infinity") you find a net charge on the conductor, but space-unlimited conductor don't really exist.