Problem #4: In the circuit shown below find the total capacitance C 12PF :2F CT
1. Write down state equations: Cy 2 R2 Us2 し2
1. Write down state equations: Cy 2 R2 Us2 し2
4. Consider a CT LTI system whose impulse response is given by h(t)( 3) (t 2)) (a) Sketch h(t), and label a mportant points. 2 2. b) Is the system causal? Circle your answer. No justification needed yes r ノ(c) Is the system stable? Circle your answer. No justification needed. or no ye d) Suppose the input to the system is r(t) ut 5). Over what range of t is the system output not equal to 0? Circle your answer....
3. (l’+2° +1²=4') Topic: Laplace transform, CT system described by differential equations, LTI system properties. Consider a differential equation system for which the input x(t) and output y(t) are related by the differential equation d’y(t) dy(t) -6y(t) = 5x(t). dt dt Assume that the system is initially at rest. a) Determine the transfer function. b) Specify the ROC of H(s) and justify it. c) Determine the system impulse response h(t).
1 3. i) Write state variable equations to realize 915): 0545 +5+1 5+45 735+4 liiWaite state variable equation for : во, гряг? Г = interna - Lot @ Seemmer Sunner C
2 Write equations for the decomposition of H,CO, and H,SO, into their respective gases
H ) + F(g) --- 2 HF(g) A Hin = -546.6 kJ 2.H. (9) +0,() -2H,O(1) AH = -571.6 kJ calculate the value of A His for 2F,(g) + 2 H, 0(1) --- 4 HF(g) + O2(g) J K
ct Question 4 0 1 pts 1, what is the uncertainty in R in Ohms? State your answer to 3 significant figures (no units). To change to Vibrate only, press the Volume Down key again.
2. Use Taylor series expansions to arrive at the expression 1 3 1 f'(x) h f(x)2f(xh) - f(x2h) 2 which we found in class using Lagrange polynomials
2. Use Taylor series expansions to arrive at the expression 1 3 1 f'(x) h f(x)2f(xh) - f(x2h) 2 which we found in class using Lagrange polynomials
Given this block diagram, find the transfer function H( (5 points) 2f 1/2 41 3f