Design the circuit shown in Figure DP 9-5 so that vo t 1 2 A1 e2t A2 e4t V for t > 0

Chapter 9, Problem DP9-5

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QUESTION:

Design the circuit shown in Figure DP 9-5 so that

\(v_{\mathrm{o}}(t)=\frac{1}{2}+A_1 e^{-2 t}+A_2 e^{-4 t} \mathrm{~V} \quad \text { for } t>0\)

Determine the values of the unspecified constants \(A_1\) and \(A_2\).

Hint: The circuit is overdamped, and the natural frequencies are 2 and 4 rad / sec.

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QUESTION:

Design the circuit shown in Figure DP 9-5 so that

\(v_{\mathrm{o}}(t)=\frac{1}{2}+A_1 e^{-2 t}+A_2 e^{-4 t} \mathrm{~V} \quad \text { for } t>0\)

Determine the values of the unspecified constants \(A_1\) and \(A_2\).

Hint: The circuit is overdamped, and the natural frequencies are 2 and 4 rad / sec.

ANSWER:

Problem DP9-5

Design the circuit shown in Figure DP 9-5 so that vo t 1 2 A1 e2t A2 e4t V for t > 0 Determine the values of the unspecified constants A1 and A2. + iL(t) vc(t) + vo(t) + L R2 R1 vs(t) = u(t) C Figure DP 9-5 Hint: The circuit is overdamped, and the natural frequencies are 2 and 4 rad/sec. D

Step by step solution

Step 1 of 12

The given circuit is,

Figure 1

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