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Introduction to Electric Circuits | 9th Edition | ISBN: 9781118477502 | Authors: James A. Svoboda, Richard C. Dorf
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The transfer function of a circuit is if H s 20 s 8 . When the input to this circuit is

Chapter 14, Problem P14.10-10

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QUESTION:

The transfer function of a circuit is if \(H(s)=\) \(\frac{20}{s+8}\). When the input to this circuit is sinusoidal, the output is also sinusoidal. Let \(\omega_1\) be the frequency at which the output sinusoid is twice as large as the input sinusoid, and let \(\omega_2\) be the frequency at which output sinusoid is delayed by one tenth period with respect to the input sinusoid. Determine the values of \(\omega_1\) and \(\omega_2\).

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QUESTION:

The transfer function of a circuit is if \(H(s)=\) \(\frac{20}{s+8}\). When the input to this circuit is sinusoidal, the output is also sinusoidal. Let \(\omega_1\) be the frequency at which the output sinusoid is twice as large as the input sinusoid, and let \(\omega_2\) be the frequency at which output sinusoid is delayed by one tenth period with respect to the input sinusoid. Determine the values of \(\omega_1\) and \(\omega_2\).

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