A switch control circuit monitors a signal produced by a MEMS or other capacitor microphone. When a criterion is met, for example when the amplitude of the monitored signal exceeds a threshold or the monitored signal has been clipped or analysis of the monitored signal indicates clipping is imminent or likely, the switch control circuit operates one or more switches so as to selectively connect one or more capacitors to a signal line from the microphone, i.e., so as to connect a selected capacitance to the signal line to attenuate the signal from the microphone and, therefore, avoid clipping. The switches may be MOSFET, MEMS or other types of switches co-located with the microphone in a common semiconductor package. Similarly, the capacitors, a circuit that processes the signals from the microphone and/or the switch control circuit may be co-located with the microphone in a common semiconductor package.