Electric Circuits, 9th Edition P55. Designed for use in a one or two-semester Introductory Circuit Analysis or Circuit Theory Course taught in Electrical or Computer Engineering Departments. Electric Circuits 9/e is the most widely used introductory circuits textbook of the past 25 years. As this book has evolved over the years to meet the changing learning styles of students, importantly, the underlying teaching approaches and philosophies remain unchanged. | 516 The Laplace Transform in Circuit Analysis Figure a Repeat Problem given that the resistor in the circuit in Fig. a is decreased to 10 kil. b Does decreasing the resistor increase or decrease the memory of the circuit c Which circuit comes closer to transmitting a replica of the input voltage b 0 40 t a c a Assume the voltage impulse response of a circuit is z 0 10e 4 t 0 t 0. Use the convolution integral to find the output voltage if the input signal is 10zz t V. b Repeat a if the voltage impulse response is A rectangular voltage pulse vt zz r - zz r - 1 V is applied to the circuit in Fig. . Use the convolution integral to find vo. i0 I 0 z Z 10 1 - 2r 0 t s 0 t s. Figure 1 H Interchange the inductor and resistor in Problem and again use the convolution integral to find v0. a Use the convolution integral to find the output voltage of the circuit in Fig. a if the input voltage is the rectangular pulse shown in Fig. . b Sketch vo t versus t for the time interval 0 10 ms. c Plot the output voltage versus time for a and b for 0 i 1 s. The voltage impulse response of a circuit is shown in Fig. a . The input signal to the circuit is the rectangular voltage pulse shown in Fig. b . a Derive the equations for the output voltage. Note the range of time for which each equation is applicable. b Sketch vo for -1 t 34 s. b Problems 517 Assume the voltage impulse response of a circuit can be modeled by the triangular waveform shown in Fig. voltage input signal to this circuit is the step function lOzz t V. a Use the convolution integral to derive the expressions for the output voltage. b Sketch the output voltage over the interval 0 to 15 s. c Repeat parts a and b if the area under the voltage impulse response stays the same but the width of the impulse response narrows to 4 s. d Which output waveform is closer to replicating the input waveform b or c
