Electromechanical Dynamics (Part 1).0092

Electromechanical Dynamics (Part 1).0092 - 3.1.6. Along...

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Electromechanical Coupling dth w rpendicular page Fig. 3.1.5. Multiply excited electric field system. where we have solved (a) and (b) of Example 2.1.5 for v 1 and vs, and therefore have C 2 S CC 2 - C.2 SC, c'. S c - c,; C 1 , C 2 , and C, are the functions of x 1 and z 2 given by (c), (d), and (e) of Example 2.1.5. The system is first assembled mechanically with q 1 and q 2 zero, during which process no energy is put into the system. Next, charges q, and q 2 are brought to their final values with x 1 and x 2 fixed. This step requires an integration along a path in the qr-qa plane. The path chosen for this example is shown in Fig.
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Unformatted text preview: 3.1.6. Along this path the running variables are related by , q; thus the necessary integral takes the form W(q.l, q 2 , XI, x 2 )= J 1v q', q', x 1 , x2x dq 2 ; Path of intergration + V 2 q', . q', xz, ldqj . (c) Fig. 3.1.6 Illustrating a path ) \ q /91 J for line integration in variable Substitution of (a) and (b) into (c) and evaluation of space for Example 3.1.1. the integral yields W,(ql, q 2 ' X 1 , X 2 ) = jS 1 (x 1 , x 2 )qi 2 + Sm(xl, x 2 )qlq 2 + $S 2 (X 1 , x2)q2 2 . 3.1.2 A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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