tailieunhanh - Electric Circuits, 9th Edition P27

Electric Circuits, 9th Edition P27. Designed for use in a one or two-semester Introductory Circuit Analysis or Circuit Theory Course taught in Electrical or Computer Engineering Departments. Electric Circuits 9/e is the most widely used introductory circuits textbook of the past 25 years. As this book has evolved over the years to meet the changing learning styles of students, importantly, the underlying teaching approaches and philosophies remain unchanged. | 236 Response of First-Order RL and RC Circuits no energy is stored in the circuit at the instant the switch is closed. Next we observe i i 0 120 V which is consistent with the fact that zf 0 0. Now we observe the solutions for q and z2 are consistent with the solution for vo by observing dh d h vo 6 dt dt 360e-5 - 240e-5 120 T5 V t 0 Regardless of which expression we use we obtain Aj A2 24 - 24e 5 Wb-turns. Note the solution for A or A2 is consistent with the solution for vo. The final value of the flux linking either coil 1 or coil 2 is 24 Wb-turns that is A oo A2 oo 24 Wb-turns. The final value of q is or dix d h Vo 15-2 dt dt 720e 5 - 600e 5 120e 5 V t 0 . The final values of q and z2 can be checked using flux linkages. The flux linking the 3 H coil A0 must be equal to the flux linking the 15 H coil A2 because q oo 24 A and the final value of z2 is z2 8 A. The consistency between these final values for q and z2 and the final value of the flux linkage can be seen from the expressions A oo 3q oo 6z2 oo d Aj V di 3 24 6 -8 24 Wb-turns A2 o 6q oo 15z2 oo d 2 6 24 15 8 24 Wb-turns. dt Now Aj 3q 6z2 Wb-turns and It is worth noting that the final values of f and z2 can only be checked via flux linkage because at t oo the two coils are ideal short A2 6q 15z2 Wb-turns. circuits. The division of current between ideal short circuits cannot be found from Ohm s law. NOTE Assess your understanding of this material by using the general solution method to solve Chapter Problems and . Sequential Switching Whenever switching occurs more than once in a circuit we have sequential switching. For example a single two-position switch may be switched back and forth or multiple switches may be opened or closed in sequence. The time reference for all switchings cannot be t 0. We determine the voltages and currents generated by a switching sequence by using the techniques described previously in this chapter. We derive the expressions for v t and i t for a given position of .

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