- 12.12.1: Use the defining integral to a) find the Laplace transform of cosh ...
- 12.12.2: Use the appropriate operational transform from Table 12.2 to find t...
- 12.12.3: Find/(0 if 652 + 265 + 26 ( ' V) ~ (5 + 1)(5 + 2)(5 + 3)*
- 12.12.4: Find/(f) if 752 + 635 + 134 ( 5 ) ~ (5 + 3)(5 + 4)(5+ 5)*
- 12.12.5: Find /(f) if F(s) = 1Q(*2 + 119 ) (s + 5)(s2 + 10s + 169)'
- 12.12.6: Find/(0 if (4s2 + Is + 1) s(s + 1)
- 12.12.7: Find f(t) if F{s) = 40 W (s2 + As + 5)2
- 12.12.8: Find/(0 if (5s2 + 29s + 32) F(s) = (s + 2)(5 + 4)
- 12.12.9: Find/(0 if (253 + 852 + 25 - 4) F(s) (s2 + 5s + 4)
- 12.12.10: Use the initial- and final-value theorems to find the initial and f...
- 12.12.11: Show that #{S( ' 0 (0} = s".
- 12.12.12: a) Show that Q f(t)8'(t - a)dt = -/'() (Hint: Integrate by parts.) ...
- 12.12.13: Show that 2{r*/(0 } = F{s + a).
- 12.12.14: a) Find ,% { sin cot}. b) Find %\-f cos (at}. d 7, c) Find <<=t*u(t...
- 12.12.15: a) Find the Laplace transform of x dx by first integrating and then...
- 12.12.16: Show that X{f(at)} = -F[-
- 12.12.17: Find the Laplace transform of each of the following functions: a) f...
- 12.12.18: Find the Laplace transform (when e*()) of the derivative of the exp...
- 12.12.19: Find the Laplace transform of each of the following functions: a) f...
- 12.12.20: a) Find the Laplace transform of te~'". b) Use the operational tran...
- 12.12.21: a) Find the Laplace transform of the function illustrated in Fig. P...
- 12.12.22: a) Findi b) Check the results of (a) by first integrating and then ...
- 12.12.23: a) Given that F(s) = {/(0) , show that dF(s) ds X{tf(t)}. b) Show t...
- 12.12.24: a) Show that if F(s) = .2{/(f)}, and {/(0//} is Laplace-transformab...
- 12.12.25: Find the Laplace transform for (a) and (b). b) f(t) e ox cos cox dx...
- 12.12.26: In the circuit shown in Fig. 12.16, the dc current source is replac...
- 12.12.27: There is no energy stored in the circuit shown in Fig. P12.27 at th...
- 12.12.28: The switch in the circuit in Fig. P12.28 has been open for a long t...
- 12.12.29: The switch in the circuit in Fig. PI2.29 has been in position a for...
- 12.12.30: There is no energy stored in the circuit shown in Fig. PI2.30 at th...
- 12.12.31: The switch in the circuit in Fig. PI2.31 has been in position a for...
- 12.12.32: a) Write the two simultaneous differential equations that describe ...
- 12.12.33: Find v(t) in 12.26.
- 12.12.34: The circuit parameters in the circuit in Fig. P12.27 " are R = 2500...
- 12.12.35: The circuit parameters in the circuit in Fig. PI2.28 pspicE are R =...
- 12.12.36: The circuit parameters in the circuit in Fig. PI 2.29 are R = 250 H...
- 12.12.37: The circuit parameters in the circuit seen in .55?.. Fig. P12.30 ha...
- 12.12.38: The circuit parameters in the circuit in Fig. PI2.31 PS"", are R = ...
- 12.12.39: Use the results from 12.32 and the circuit shown in Fig P12.32 to a...
- 12.12.40: Find fit) for each of the following functions:a) b) ,A L ) d) Fis) ...
- 12.12.41: Find fit) for each of the following functions. a) b) rA c ) d) F(s)...
- 12.12.42: Find fit) for each of the following functions.a) b) c) Fis) = Fis) ...
- 12.12.43: Find /( 0 for each of the following functions. a) Fis) = b) Fis) = ...
- 12.12.44: Derive the transform pair given by Eq. 12.64.
- 12.12.45: a) Derive the transform pair given by Eq. 12.83. b) Derive the tran...
- 12.12.46: 6 a) Use the initial-value theorem to find the initial value of v i...
- 12.12.47: Use the initial- and final-value theorems to check the initial and ...
- 12.12.48: Use the initial- and final-value theorems to check the initial and ...
- 12.12.49: Use the initial- and final-value theorems to check the initial and ...
- 12.12.50: Apply the initial- and final-value theorems to each transform pair ...
- 12.12.51: Apply the initial- and final-value theorems to each transform pair ...
- 12.12.52: Apply the initial- and final-value theorems to each transform pair ...
- 12.12.53: Apply the initial- and final-value theorems to each transform pair ...
- 12.12.54: a) Use phasor circuit analysis techniques from Chapter 9 to determi...
- 12.12.55: Find the maximum magnitude of the sinusoidal source in Fig. 12.18 s...
- 12.12.56: Suppose the input to the circuit in Fig 12.18 is a damped ramp of t...

# Solutions for Chapter 12: Introduction to the Laplace Transform

## Full solutions for Electric Circuits | 9th Edition

ISBN: 9780136114994

Solutions for Chapter 12: Introduction to the Laplace Transform

Get Full SolutionsSince 56 problems in chapter 12: Introduction to the Laplace Transform have been answered, more than 7401 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Electric Circuits was written by and is associated to the ISBN: 9780136114994. This textbook survival guide was created for the textbook: Electric Circuits, edition: 9. Chapter 12: Introduction to the Laplace Transform includes 56 full step-by-step solutions.