Question

Why does electric current doesn't flow out like water when the wire is cut ?

Answer 1

Electrons need a closed circuit to flow in a conductor.

Air resistance (electrical) is higher than that of copper wire. That is, electrons can jump from one atom to another along the conductor more easily.  So they do not escape into air from the wire.
There is a potential difference existing across the terminals of a battery.  This EMF drives (attracts) electrons.  Current needs a closed circuit to flow.  So electrons flow from -ve terminal to +ve terminal along the wire and then get deposited on the +ve terminal.
If electrons have to flow into air, then the atoms of H2, O2, N2, CO2 have to make space for this electron. That requires a very high energy and very high voltage like 10 million volts or more.  That happens in sky and in air during lightning.  That time  electrons flow from clouds and atmosphere through air particles. At that time, the voltage in the clouds is more than many millions of volts.

In an electric spark ignition in vehicles, electrons flow from a conductor into air towards the conductor, jumping a millimeter gap.  Here the power/force on the electrons is high, so they jump.

Answer 2

Answer:

The heat produced in a wire depends on the current flowing in the wire and the resistance of the wire

Explanation: