Why does the cord of an electric heater not glow while the heating element does ?

The resistance of the heating element is very high compared to the cord of an electric heater. Since,Heat generated in a circuit is given by \(I^2Rt \) so heat produced is directly proportional to the resistance, thus element of electric heater glows because of production of more heat due to high resistance but the cord of the electric heater made of copper does not glow because negligible heat is produced in it by passing current because of its extremely low resistance.