When a conductor is moved in a magnetic field, a voltage will be induced on the conductor. However, current won't flow through the conductor unless the conductor is

Open circuited

Explanation:

On moving a coil of conductor in a magnetic field a voltage is induced through the conductor, this is called Law of Electromagnetic induction.

As the moving coil will induce some voltage in the conductor, but the current through it will be zero unless we do not connect it with a load to complete the circuit.

As in a open circuit, the amount of current flow is zero.

Also, the voltage is zero in a short circuit.

So, the current in the conductor will be zero unless we do not connect it with a load to complete the circuit.

In case of motors, the voltage is given to the conductor to rotate the coil, due to rotation of the coil some voltage is induced backwards to the conductor which is called back EMF.