b) For the system described above, i. ii. Represent the circuit in Laplace domain. Determine Laplace domain output, Y(s) for the input, x(t) = u(t) and given initial condition. [Applying KVL in the Laplace domain circuit] iii. Determine time domain output, y(t) using inverse Laplace transform.

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b) For the system described above,
i.
ii.
Represent the circuit in Laplace domain.
Determine Laplace domain output, Y(s) for the input, x(t) = u(t) and given initial condition. [Applying
KVL in the Laplace domain circuit]
iii. Determine time domain output, y(t) using inverse Laplace transform.
Transcribed Image Text:b) For the system described above, i. ii. Represent the circuit in Laplace domain. Determine Laplace domain output, Y(s) for the input, x(t) = u(t) and given initial condition. [Applying KVL in the Laplace domain circuit] iii. Determine time domain output, y(t) using inverse Laplace transform.
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
1
L1 = 1 H
2
R2 = 1 ohm
y (t)
Output
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 1 L1 = 1 H 2 R2 = 1 ohm y (t) Output
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