- 12.12.1: Step functions can be used to define a window function. Thus define...
- 12.12.2: Make a sketch of for when is given by the following expression: f(t...
- 12.12.3: Use step functions to write the expression for each of the function...
- 12.12.4: Use step functions to write the expression for each function shown ...
- 12.12.5: Explain why the following function generates an impulse function as...
- 12.12.6: a) Find the area under the function shown in Fig. 12.12(a). b) What...
- 12.12.7: The triangular pulses shown in Fig. P12.7 are equivalent to the rec...
- 12.12.8: Evaluate the following integrals:
- 12.12.9: In Section 12.3, we used the sifting property of the impulse functi...
- 12.12.10: ind if f(t) = 12p Lq-qF(v)ejtv dv,
- 12.12.11: Show that l5d(n)(t)6 = sn
- 12.12.12: a) Show that (Hint: Integrate by parts.)b) Use the formula in (a) t...
- 12.12.13: Find the Laplace transform of each of the following functions:
- 12.12.14: a) Find the Laplace transform of the function illustrated in Fig. P...
- 12.12.15: Show that l5e-at f(t)6 = F(s + a).
- 12.12.16: Show that l5f(at)6 = 1aF sa.
- 12.12.17: a) Find the Laplace transform of b) Use the operational transform g...
- 12.12.18: a) Find b) Check the results of (a) by first integrating and then t...
- 12.12.19: a) Find the Laplace transform of by first integrating and then tran...
- 12.12.20: Find the Laplace transform of each of the following functions: a) b...
- 12.12.21: a) Given that show that b) Show that c) Use the result of (b) to fi...
- 12.12.22: a) Find b) Find c) Find d) Check the results of parts (a), (b), and...
- 12.12.23: Find the Laplace transform (when ) of the derivative of the exponen...
- 12.12.24: Find the Laplace transform for (a) and (b). a) b) c) Verify the res...
- 12.12.25: a) Show that if and is Laplace-transformable, then (Hint: Use the d...
- 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 in position a for...
- 12.12.29: The switch in the circuit in Fig. P12.29 has been in position a for...
- 12.12.30: The switch in the circuit in Fig. P12.30 has been open for a long t...
- 12.12.31: There is no energy stored in the circuit shown in Fig. P12.31 at th...
- 12.12.32: a) Write the two simultaneous differential equations that describe ...
- 12.12.33: Find in 12.26.
- 12.12.34: The circuit parameters in the circuit seen in Fig. P12.27 have the ...
- 12.12.35: The circuit parameters in the circuit in Fig. P12.28 are and If fin...
- 12.12.36: The circuit parameters in the circuit in Fig. P12.29 are and If fin...
- 12.12.37: The circuit parameters in the circuit in Fig. P12.30 are and If is ...
- 12.12.38: The circuit parameters in the circuit in Fig. P12.31 are and If fin...
- 12.12.39: Use the results from 12.32 and the circuit shown in Fig P12.32 to a...
- 12.12.40: Find for each of the following functions:
- 12.12.41: Find for each of the following functions. a)b)c)d) F(s) = 8(s + 1)2...
- 12.12.42: Find for each of the following functions.
- 12.12.43: Find for each of the following functions.
- 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: a) Use the initial-value theorem to find the initial value of in 12...
- 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 | 10th Edition

ISBN: 9780133760033

Solutions for Chapter 12: Introduction to the Laplace Transform

Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Electric Circuits, edition: 10. Since 56 problems in chapter 12: Introduction to the Laplace Transform have been answered, more than 14692 students have viewed full step-by-step solutions from this chapter. Chapter 12: Introduction to the Laplace Transform includes 56 full step-by-step solutions. Electric Circuits was written by and is associated to the ISBN: 9780133760033.