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Engineering and Tech / Introduction to Electric Circuits 9 / Chapter 14.1 / Problem P14.10-2

Introduction to Electric Circuits | 9th Edition | ISBN: 9781118477502 | Authors: James A. Svoboda, Richard C. Dorf

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The input to the circuit shown in Figure P 14.10-2 is the voltage vi(t) of the

Chapter 14, Problem P14.10-2

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QUESTION:

The input to the circuit shown in Figure P 14.10-2 is the voltage \(v_i\)(t) of the independent voltage source. The output is the voltage, \(v_o\)(t), across the capacitor. The step response of this circuit is

\(v_o\)(t) = \([5 - 5e^{-2t} (1 + 2t)]\) u(t) V

Determine the steady-state response of this circuit when the input is

\(v_1\)(t) = 5 cos \((2t + 45^{\circ})\) V

Questions & Answers

QUESTION:

The input to the circuit shown in Figure P 14.10-2 is the voltage \(v_i\)(t) of the independent voltage source. The output is the voltage, \(v_o\)(t), across the capacitor. The step response of this circuit is

\(v_o\)(t) = \([5 - 5e^{-2t} (1 + 2t)]\) u(t) V

Determine the steady-state response of this circuit when the input is

\(v_1\)(t) = 5 cos \((2t + 45^{\circ})\) V

ANSWER:

Step 1 of 4

Steady-state response of the circuit is,

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