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Since electrons are being transferred from anode to cathode, positive charge is built up in the anode and negative charge in the cathode. The salt bridge allows for ions to pass between solutions and thus maintaining the redox reaction from being slowed.
without the salt bridge, the charges would build up disabling the flow of electrons due to uneven charges between the two half cells of the voltaic cell. The salt bridge monitors the charges on each side, allowing electrons to continue to flow from the anode to the cathode without a buildup of positive charges at the anode and negative charges at the cathode.
Since the electron flow between the cathode and the anode depends partly on the charge difference between the two solutions in the way that a slightly positive or negative charge may attract or repel the electron and prevent the flow of the electron from the anode to the cathode. This would result in a current not being generated. A salt bridge maintains neutrality of both solutions by providing the positively and negatively charged ions to the solutions to neutralize the positive or negative buildup of charges as electrons move from the anode to the cathode. If the salt wasn't a neutral salt, there would be more of one of the charged ions than the other which would result in an imbalance of charges.
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