Consider a simple capacitive touch sensor comprised of a resistor with resistance R $=2\mathrm{.}79$Megaohms; and a capacitor with capacitance C $=1\mathrm{.}1$ nF connected in series. A standard wall outlet powers the sensor with an output frequency f $=5$o Hz$.$ Pressing the sensor triples the capacitance of the circuit. A logic gate detects a change in the circuit's impedance.

Determine the initial impedance Z$\_0$ of the circuit in megaohms.

Determine the impedance Z$\_$p of the circuit with a pressed sensor in megaohms