An electrochemical cell can behave like an electrolytic cell when an external voltage is applied that is greater than the cell's own voltage. This forces the non-spontaneous reaction to occur, which is characteristic of an electrolytic cell.
Therefore, the correct answer is (C): \(E_{ext} > E_{cell}\)
An electrochemical cell is a device that is used to create electrical energy through the chemical reactions which are involved in it. The electrical energy supplied to electrochemical cells is used to smooth the chemical reactions. In the electrochemical cell, the involved devices have the ability to convert the chemical energy to electrical energy or vice-versa.