Page 28 - Schaum's Outline of Theory and Problems of Electric Circuits
P. 28

CIRCUIT CONCEPTS
               CHAP. 2]
                         Assuming zero initial charge on the capacitor,                               17
                                                                ð
                                                              1
                                                          v C ¼  idt
                                                              C
                         For 0   t   1 ms,
                                                            ð
                                                        1    t  4       7 2
                                                 v C ¼        10 tdt ¼ 10 t ðVÞ
                                                     5   10  4  0
                         This voltage reaches a value of 10 V at 1 ms.  For 1 ms < t < 2 ms,
                                                            3       3
                                                 v C ¼ð20   10 Þðt   10 Þþ 10 ðVÞ
                         See Fig. 2-14.


























                                                        Fig. 2-14


               2.8   A single circuit element has the current and voltage functions graphed in Fig. 2-15. Determine
                     the element.


























                                                        Fig. 2-15
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