An RC circuit in series with a voltage source x(t) is represented by a ordinary differential equation

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where y(t) is the voltage across the capacitor. Assume y(0) is the initial voltage across the capacitor.

(a) If it is known that the resistor has a resistance R, and the capacitor C = 1 F. Draw the circuit that corresponds to the given ordinary differential equation.

(b) For zero initial condition, and x(t) = u(t), is the output of the system

If so, find and plot y(t).

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Signals and Systems using MATLAB

ISBN: 978-0123948120

2nd edition

Authors: Luis Chaparro

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Question Posted: Dec 28, 2018 10:34 AM

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An RC circuit in series with a voltage source x(t) is represented by a ordinary differential equation

Question:

dy(t) dt + 2y(t) = 2x(t) y(t) = e=2 -2t e2* dr? 0.

Step by Step Answer:

a See Fig 1 The circuit is a series connectio...View the full answer

Signals and Systems using MATLAB

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