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The salt bridge completes the circuit hence allowing current to pass through the system. The wires allow movement of electrons. The salt bridge allows movement of counter ions from one side to the other.
To expand upon the previous reply, think of the diagram of the cell we've been looking at in class. On the anode side, Zn2+ ions are produced and on the cathode side, Cu2+ ions are used up. Without a salt bridge, the transfer of electrons from one reaction beaker to another would cause the charge to build up on one side, halting the reaction. A salt bridge allows for the transfer of Cl- ions, which keep both solutions neutral and enables the reaction to continue.
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