Consider a source-free parallel RLC circuit having = 108 s1 , 0 = 103 rad/s, and 0L = 5
Chapter 9, Problem 6(choose chapter or problem)
Consider a source-free parallel RLC circuit having \(\alpha = 10^8\ s^{-1}\), \(\omega_0 = 10^3\ rad/s\), \(\omega_0 L = 5\ \Omega\). (a) Show that the stated units of \(\omega_0 L\) are correct. (b) Compute \(s_1\) and \(s_2\). (c) Write the general form of the natural response for the capacitor voltage. (d) By appropriate substitution, verify that your answer to part (c) is indeed a solution to Eq. [1] if the inductor and capacitor each initially store 1 mJ of energy, respectively.
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