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CHAP. 2]

CIRCUIT CONCEPTS

17

Assuming zero initial charge on the capacitor, 1 C

vC ¼

ð i dt

For 0  t  1 ms, vC ¼

1 5  104

ðt

104 t dt ¼ 107 t2 ðVÞ

0

This voltage reaches a value of 10 V at 1 ms.

For 1 ms < t < 2 ms, 3

vC ¼ ð20  10 Þðt  103 Þ þ 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

Mahmood_Nahvi_eBook_Schaum_s_Outlines_Theory_An  
Mahmood_Nahvi_eBook_Schaum_s_Outlines_Theory_An  
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