(b) (i) Derive the frequency response of the electrical circuit illustrated in Figure
Q1(b)
in terms of R and C , given that
V_(in )
is the input voltage and
V_(out )
is the output voltage. (ii) Determine the time-domain output,
V_(out )(t)
, of this system if the time- domain input
Vin(t)
is given by
Vin(t)=5+3cos(10t+0.3)
The resistor and capacitor values are
10M\Omega
and
1\mu F
, respectively. [6 marks]