Some lamps are made to turn on and off when the base is touched. These use a one

Question

Some lamps are made to turn on and off when the base is touched. These use a one terminal variation of the capacitive switch circuit discussed in the practical perspective section at the begining and end of chapter 6. an exaple of this type of circuit is shown below.

a. calculte the change in the voltage V(t) when a person touches the lamp. assume all the capacitors are initially discharged

b. Sketch the physical system and indicate what each capacitor models in the system. Explain what the two capacitances used to model the person corresponds to

Explanation / Answer

a)effective capacitance is as sen from voltage source is c=6.55 pF

i=c dv(s)/dt

dv(s)/dt= 19*(dv/dt)/6.55 // 19 is effective capacitance of (10paralle to 10 and 100 in series)

v=v(s)*0.34

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