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HW5solns

HW5solns - HW#5 Solutions E245B Problem 5.1 A 12F capacitor...

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HW #5 Solutions E245B 10/11/01 Problem 5.1 A 12 µ F capacitor has an accumulated charge of 480 µ C. Determine the voltage across the capacitor after 4 s. Suggested Solution 2 1 1 2 1 1 2 2 1 2 1 2 ( ) ( ) 100 ( ) 1 ( ) ( ) 0. ( ) ( ) 4sec ( ) 40 t C I C v t v t dt C F i t mA I i t t v t v t t t t t v t V µ = = = = = = = = ò so, where Problem 5.16 Draw the waveform for the current in a 12- µ F capacitor when the capacitor voltage is as described in Figure 5.16 v(t)(V) t(μs) Figure P5.16 0 6 10 16 12 -8

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Suggested Solution 12 ( ) 0 2 24 6 10 5 60 10 16 1.33 16 16 0 0 dv dt dv dt C F i t C t t t t µ µ µ = = > Time( s) (V/ s) i(t)(A) v(t)(V) t(μs) 0 6 10 16 0 2 4 8 12 14 10 5 -10 -5 i(t)(mA) t(μs) 0 6 10 16 -10 2 4 8 12 14 30 10 -50 -30 -70
v(t)(V) t(μs) 0 6 10 16 0 2 4 8 12 14 10 5 -10 -5 i(t)(mA) t(μs) 0 6 10 16 -10 2 4 8 12 14 30 10 -50 -30 -70 Problem 5.31 Draw the waveform for the voltage across a 10-mH inductor when the inductor current is given by the waveform shown in Figure P5.31 t(s) i(t)(A) 3 6 9 11 -1 2 4 Figure P5.31 Suggested Solution

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10 ( ) 0 3 6.67 3 6 1 10 6 9 0 0 9 11 2.5 25 11 0 0 di dt di dt L mH v t L t t t t t = = > Time(s) (A/s) v(t)(mV) 2/3 time(s) i(t)(A) 3 6 9 11 -2 2 4 0 12 0 time(s) v(t)(mV) 3

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HW5solns - HW#5 Solutions E245B Problem 5.1 A 12F capacitor...

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