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What effect does an RC link have when it is connected parallel to the coil of the relay?

The series connection of a resistor and a capacitor causes the current to decay in a damped oscillation during the switch-off process. During the switch-on process, the resistor prevents the full capacitor charge from discharging via the switch contact. The protective circuit using an RC element is very well suited for alternating voltage. In addition, there is an immediate switch-off limitation.