Suppose that a discrete-time signal x(n) is processed by the system with transfer function H (z)=0.01/(z+0.99) before sent to a
ZOH at 100Hz and then a continuous time filter with transfer function H T (s)=1/((s+1)(0.3s+1)) . Determine the DT transfer function of the system when the output is also sampled at 100Hz.Suppose that a continuous time signal x(t) is processed by the following sampled-data system, 0.1 replacing an old analog filter. The discrete-time transfer function is H????T(z) = z−0.9
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Answer:
The rate of cell metabolism is limited by mass transfer since the value of maximum cell concentration obtained (38 g/l) is lower than 50 g l-1, the value planed.
Explanation:
Data
<u>kLa</u> = 0.17/s
<u>Solubility of oxygen</u> = 8 × 10^-3 kg / m^3
<u>The maximum specific oxygen uptake rate </u>= 4 mmol O2 / g h.
<u>Concentration of oxygen</u> = 0.5 × 10^-3 kg/ m^3
<u>**The maximum cell density</u> = 50 g/l
___________________
The calculated maximum cell concentration:
xmax= kLa · CAL*/ qo
CAL* is the solubility of oxygen in the broth and qo is the specific oxygen uptake rate
Replacing the data given
xmax= ( 0.17/s ) · (8 × 10^-3 kg / m^3) / 4 mmol O2 / g h
4 mmol O2 / g h to kg O2/ g s
= 3.56 x 10^-3 kg O2/ g s
So then,
xmax= ( 0.17/s ) · (8 × 10^-3 kg / m^3) / 3.56 x 10^-3 o kg O2/ g s
xmax= 3. 8 x 10^4 g/ m^3 = 38 g/l
_____________________
Answer:
Vout= 93.3V
Explanation:
For this question, consider circuit in the attachment 1.
This is the circuit of an inverting amplifier. In an inverting amplifier
Vout/Vin= -Rf/Rin
To calculate the Vout, we must find Rin and Vin. For this we must solve the input circuit (attachment 2) using Thevinine theorem. Thevnine theorem states that all voltage sources in a circuit can be replaced by an equivalent voltage source Veq and and all resistances can be replaced by an equivalent resistance Req. To find out Req all voltage sources must be short circuited (attachment 3)
1/Req= 1/R1+1/R2+1/R3
1/Req=1/6+1/3+1/3
Req=6/5
To find out Veq consider circuit in attachment 4. We will solve this circuit using nodal analysis. In nodal analysis, we use the concept that sum of currents entering a node is equal to the sum of currents leaving a node. So,
I1= I2+I3
(10-Veq)/6= (Veq-5)/3+(Veq-10)/3
Veq=8V
Now the input circuit can be simplified as shown in attachment 5. Solve for Vout using equation
Vout/Veq= -Rf/Req
Vout/8= -14/(6/5)
Vout= - 93.3
It is at an angle of 180° from Veq
Answer:
The volume of the extra water is
Solution:
As per the question:
Mass of the canoe,
Height of the canoe, h = 21.5 ft
Mass of the kevlar canoe,
Now, we know that, bouyant force equals the weight of the fluid displaced:
Now,
(1)
where
V = volume
= density
m = mass
Now, for the canoe,
Using eqn (1):
Similarly, for Kevlar canoe:
Now, for the excess volume:
V =
V =