RCDs (Residual Current Devices) and RCBOs contain a toroidal transformer — a ring-shaped coil through which the live and neutral conductors pass. This transformer is the sensing element that detects current imbalance. Like any transformer, it can produce a hum at mains frequency, particularly under load.
The hum from an RCD is usually quieter than from an MCB because the toroidal transformer carries very little current itself — it only detects the difference between live and neutral currents. However, if the RCD is protecting multiple circuits and the total load through it is high, the hum may become noticeable.
Some consumer units also contain contactors — electromechanical switches used for time clocks, immersion heater control, or Economy 7/10 switching. Contactors have a more substantial electromagnetic coil and are one of the loudest sources of humming in a consumer unit. A contactor hum is normal when the contactor is energised (for example, when the immersion heater is on). If the contactor buzzes loudly or chatters (makes a rapid clicking sound), the coil or contacts may be worn and the contactor should be replaced.
Chapter 42 of BS 7671 covers protection against thermal effects; within it, Section 421 deals with protection against fire caused by electrical equipment. (Selectivity between protective devices is a separate subject, covered by Section 536.) Correctly rated and properly installed protective devices should operate quietly under normal conditions.