Question
Asked Nov 20, 2019
16 views
Problem2:
Find v2(t) for the circuit fort> 0. The initial conditions are vi(0)= 10 V and v2(0) 25 V. The
source is vs =50 cos 2t u(t) V
20
ww
24Ω
30 /24F2
1/48 F
help_outline

Image Transcriptionclose

Problem2: Find v2(t) for the circuit fort> 0. The initial conditions are vi(0)= 10 V and v2(0) 25 V. The source is vs =50 cos 2t u(t) V 20 ww 24Ω 30 /24F2 1/48 F

fullscreen
check_circle

Expert Answer

Step 1

Take the Laplace transform of the circuit and redraw the circuit diagram,

20
24
24
5оs
48
Зо
g24 4
10
help_outline

Image Transcriptionclose

20 24 24 5оs 48 Зо g24 4 10

fullscreen
Step 2

Now, apply the KCL rule at the point b,

50s
10
25
V
V
V
+4
+
+
24
48
24
0 =
20
30
Vs
5s
25
= (0
V
V
Vs
10
2(s +4 24(s+2)
20 24(s 2 30
24
1
1
5s
10
25
V
24
2(+4)
24(s2) 24
20 24(s2
30
5s +460s (s+2)+10(s? + 4) +25(s? + 4)(s+2)
V
24(s 2)
24(s2
5 5s324s2+ 44s + 48
s24
(s+4)(s+1)V
24
5 5s3 24s2 +44s +48
V =
24 (s +4)(s +1)(s+4)
help_outline

Image Transcriptionclose

50s 10 25 V V V +4 + + 24 48 24 0 = 20 30 Vs 5s 25 = (0 V V Vs 10 2(s +4 24(s+2) 20 24(s 2 30 24 1 1 5s 10 25 V 24 2(+4) 24(s2) 24 20 24(s2 30 5s +460s (s+2)+10(s? + 4) +25(s? + 4)(s+2) V 24(s 2) 24(s2 5 5s324s2+ 44s + 48 s24 (s+4)(s+1)V 24 5 5s3 24s2 +44s +48 V = 24 (s +4)(s +1)(s+4)

fullscreen
Step 3

Convert the above expression ...

21s 76
17
23
5
V
)
15 (s + 1)
15(s4 15(s+4
76
21s
17
23
5
V
15(s24)
15(s+1) 15(s+4) 15(s2 +4) 15(s +
help_outline

Image Transcriptionclose

21s 76 17 23 5 V ) 15 (s + 1) 15(s4 15(s+4 76 21s 17 23 5 V 15(s24) 15(s+1) 15(s+4) 15(s2 +4) 15(s +

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Engineering

Electrical Engineering

Related Electrical Engineering Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: Article 300 The is defined as the area between the top of direct-burial and the finished grade. a. N...

A: Direct burial cable is a kind of cable which is designed to be buried under the ground without the e...

question_answer

Q: How does current generally flow in a complete electric circuit with more than one current source

A: Consider the circuit shown in Figure 1 consisting of two current sources of 250 mA and 150 mA  conne...

question_answer

Q: What will be the laplace transform of the function x(t)= 10 u(t)?

A: Write the expression for laplace transform,

question_answer

Q: Airframe Electrical System Question: What is the recommended shield coverage area for wires and cabl...

A: The recommended shield coverage area for wires and cables that are susceptible to EMI is 85% coverag...

question_answer

Q: Article 300 What’s the minimum cover requirement in inches for UF cable supplying power to a 120V, 1...

A: The shortest distance between the direct-buried conductor to the top surface of finished grade is kn...

question_answer

Q: What is the force on an electron in an electric field of 5000 N/C?

A: Formula to find the Force of an electron in an electric field is given below.

question_answer

Q: If a reccessed luminaire without an integraljunction box is installed, what extra wiring mut be prov...

A: A recessed luminaires are consist of an integral thermal protector which provides the prevention fro...

question_answer

Q: 1.What is the Power draw of each resistor for the series circuit? 2.What is the Power draw of each r...

A: Click to see the answer

question_answer

Q: Please answer (b)-(d) NOT A

A: The maximum energy stored in the capacitor, the time interval of power transferred to the capacitor,...