(a) Take first and second derivatives with respect to time of q given in Eq. (30.28), and...

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(a) Take first and second derivatives with respect to time of q given in Eq. (30.28), and show that it is a solution of Eq (30.27).

(b) At t = 0 the switch shown in Fig. 30.17 is thrown so that it connects points d and a; at this time, q = Q and i = dq/dt = 0. Show that the constants Ï• and A in Eq. (30.28) are given by

tan o and A = 2LV(1/LC) – (R²/4L²) cos o

Fig 30.17

When switch S is in this position, the emf charges the capacitor. +q el When switch S is moved to this position, the cap

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University Physics with Modern Physics

ISBN: 978-0321696861

13th edition

Authors: Hugh D. Young, Roger A. Freedman, A. Lewis Ford

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