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6. A simple RL network is shown in the following figure. The input of this system is x(t) and output y(t) is voltage across the resistor, R₂. Initial condition is given as, i, (0¯)= 1 x(t) R1 = 1 ohm L1 = 1 H R2 = 1 ohm y(t) Output a) For the system described above, i. Determine the input-output relation in terms of differential equation. ii. Determine Laplace domain Transfer function, H(s) from differential equation. [assume i, (0-) = 0] iii. Determine ROC from H(s) and comment on 'Stability' of the system.

6. A simple RL network is shown in the following figure. The input of this system is x(t) and output y(t) is voltage across the resistor, R₂. Initial condition is given as, i, (0¯)= 1 x(t) R1 = 1 ohm L1 = 1 H R2 = 1 ohm y(t) Output a) For the system described above, i. Determine the input-output relation in terms of differential equation. ii. Determine Laplace domain Transfer function, H(s) from differential equation. [assume i, (0-) = 0] iii. Determine ROC from H(s) and comment on 'Stability' of the system.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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6. A simple RL network is shown in the following figure. The input of this system is x(t) and output y(t) is voltage across the resistor, R₂. Initial condition is given as, i, (0¯)= 1 x(t) R1 = 1 ohm L1 = 1 H R2 = 1 ohm y(t) Output a) For the system described above, i. Determine the input-output relation in terms of differential equation. ii. Determine Laplace domain Transfer function, H(s) from differential equation. [assume i, (0-) = 0] iii. Determine ROC from H(s) and comment on 'Stability' of the system.
Transcribed Image Text:6. A simple RL network is shown in the following figure. The input of this system is x(t) and output y(t) is voltage across the resistor, R₂. Initial condition is given as, i, (0¯)= 1 x(t) R1 = 1 ohm L1 = 1 H R2 = 1 ohm y(t) Output a) For the system described above, i. Determine the input-output relation in terms of differential equation. ii. Determine Laplace domain Transfer function, H(s) from differential equation. [assume i, (0-) = 0] iii. Determine ROC from H(s) and comment on 'Stability' of the system.
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