ECE 240 California State Determine Phasor Representation Electric Engineering Ques I have 4 Questions for ECE240 ( Electric Engineering ) Beginner level cl

ECE 240 California State Determine Phasor Representation Electric Engineering Ques I have 4 Questions for ECE240 ( Electric Engineering ) Beginner level class.I want the answer to be written in details ( step by step )The Questions will be attached below Thank you ECE 240
Final, Question 1
Name (Print):
R
VS
+
?
t=0
R
2R
R
C
+
vC (t)
?
Assumption:
1. C is not charged for t < 0. Tasks: (a) (15 points) Determine vC (t) for t > 0.
(b) (10 points) Let R and C be 1 ? and 1 F respectively. How long does it take for vC (t) to reach
VS /8?
ECE 240
Final, Question 2
Name (Print):
R1
L
R2
iC (t)
vs (t)
+
vc (t)
?
C
Assumptions:
1. vs (t) is 1 V for t ? 0 and 0 V for t < 0. (a) (15 points) Determine the second order differential equation associated with vc (t). (b) (10 points) Let L and C be 1 H and 1 F respective and ?o is 1 rad/s. If R1 is 1 ?, what R2 should be used in order to achieve a critically damped response? ECE 240 Final, Question 3 Name (Print): C vin (t) + vout (t) R ? Assumption 1. vin (t) = cos(?o t) 2. ?o = 1 RC Tasks: (a) (5 points) Determine vin (?), the phasor representation of vin (t). (b) (5 points) Determine H(?). (c) (5 points) Evaluate H(?) at ?o . (d) (5 points) Evaluate vout (?). (e) (5 points) Determine vout (t). ECE 240 Final, Question 4 Name (Print): 1 Let H(?) = (1+j?/?p1 )(1+j?/? , where ?p1 and ?p2 are 100 rad/s and 1,000 rad/s respectively. p2 ) (a) (5 points) Determine |H(?)|?=1rad/s |. (b) (5 points) Determine ?H(?)|?=1rad/s . (c) (5 points) Determine a schematic for H(?). (d) (10 points) Draw Bode plot for ? between 1 rad/s and 100,000 rad/s. Purchase answer to see full attachment