- #1
topcat123
- 78
- 1
The amplifier and filter of FIGURE 4 can be represented by the
equivalent circuit of FIGURE 6. (Figs are in image 1 and 2 attached)
(i) Draw the Laplace equivalent circuit and hence derive the equation
for vout(s) in terms of R, L and C for a step input.
(ii) Attempt, using the component values given in TABLE C, to
determine the transient response of the amplifier and filter for a 10
mV step input.
Comment on the nature of the response and its suitability for this
application. Assume the thermocouple gives out a voltage of 10 mV
at 100ºC.
I have managed i) but I am struggling with is ii)
I get 100vi/LCs(s^2+s(1/RC)+1/LC
Which gives
Vo(s) = (2*10^5)/(s(s^2+10s+2000))
I have tried to use partial fractions.
Pulling 2*10^5 to the side gives 1//(s(s^2+10s+2000))
1= A(s^2+10s+2000)+(B+C)(s)
If s = 0 then A = 1/2000
but then i can't solve for B and C
Any help would be good
equivalent circuit of FIGURE 6. (Figs are in image 1 and 2 attached)
(i) Draw the Laplace equivalent circuit and hence derive the equation
for vout(s) in terms of R, L and C for a step input.
(ii) Attempt, using the component values given in TABLE C, to
determine the transient response of the amplifier and filter for a 10
mV step input.
Comment on the nature of the response and its suitability for this
application. Assume the thermocouple gives out a voltage of 10 mV
at 100ºC.
I have managed i) but I am struggling with is ii)
I get 100vi/LCs(s^2+s(1/RC)+1/LC
Which gives
Vo(s) = (2*10^5)/(s(s^2+10s+2000))
I have tried to use partial fractions.
Pulling 2*10^5 to the side gives 1//(s(s^2+10s+2000))
1= A(s^2+10s+2000)+(B+C)(s)
If s = 0 then A = 1/2000
but then i can't solve for B and C
Any help would be good