Sendent current s pute 100 mH Sketch the current waveform b. At what instant of time is the current maximum e Express the voltage across the terminals of the 100 mit inductor, v, as a function of time d. Sketch the voltage waveform Is the voltage maximum when the current is maximu? At what isnt of time does the voltage change polarity? Is there ever an instantaneous change in the voltage across the inductor? If so, at what time?

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continued on f and g.

1. The independent current source generates 0 current for t<0 and a pulse 10te" for 1>
100 mH
a. Sketch the current waveform
b. Atv
what instant of time is the current maximum?
c. Express the voltage across the terminals of the 100 mit inductor, v, as a function
of
d. Sketch the voltage waveform
e.
Is the voltage maximum when the current is maximum?
f.
At what instant of time does the voltage change polarity?
&
Is there ever an instantaneous change in the voltage across the inductor? If so, at
what time?
:. at Tinceasing Current decreases
(4)
0.6065
→ +(s)
0
0.1 0.2
b) Current i = lotest
differentiate with respect to t
dt = (lotest) = lo[tex (-s) test]
= (oest (1-st) A
Current is maximum at dt =0
(0e-st (1-st) = 0
1-st =0
5t=1
+=s
= 0.25
e) d 14+) = 0, when Voltage max
dt
est (-s) + (1-5t) (-s) e^³7 = 0
-se-st-sest +25test=0
est (-5-5+25)
=0
25t=0
+= = = = 0₁45
25
7254)
at t=05
> Current =(0 (0) 6²510) = 04
at t= 0.1s
[ument = 10 (0.1) e
| e-slo.1)
=0.6065 A
(wront = 10 (0.2) - 5 (0.2) = 0.73584
at t = 0.2s
at t= 0₁3 5 → Culment = 10 (0.3)-5(0³) = 0.7465A
at t = |s → Current = 10 (1)-5C)
= 0.067 4
at t=5s Camore = (0 (5) ~5(5) =
6.9x10-1 A
C) VL=L
= 0.1× [ lote=¹]
= est-stest
=est (1-5+)
4= 0 +12=1
4=1 → VL=0
d) (CA)
(f) and (9)
t(s)
Transcribed Image Text:1. The independent current source generates 0 current for t<0 and a pulse 10te" for 1> 100 mH a. Sketch the current waveform b. Atv what instant of time is the current maximum? c. Express the voltage across the terminals of the 100 mit inductor, v, as a function of d. Sketch the voltage waveform e. Is the voltage maximum when the current is maximum? f. At what instant of time does the voltage change polarity? & Is there ever an instantaneous change in the voltage across the inductor? If so, at what time? :. at Tinceasing Current decreases (4) 0.6065 → +(s) 0 0.1 0.2 b) Current i = lotest differentiate with respect to t dt = (lotest) = lo[tex (-s) test] = (oest (1-st) A Current is maximum at dt =0 (0e-st (1-st) = 0 1-st =0 5t=1 +=s = 0.25 e) d 14+) = 0, when Voltage max dt est (-s) + (1-5t) (-s) e^³7 = 0 -se-st-sest +25test=0 est (-5-5+25) =0 25t=0 += = = = 0₁45 25 7254) at t=05 > Current =(0 (0) 6²510) = 04 at t= 0.1s [ument = 10 (0.1) e | e-slo.1) =0.6065 A (wront = 10 (0.2) - 5 (0.2) = 0.73584 at t = 0.2s at t= 0₁3 5 → Culment = 10 (0.3)-5(0³) = 0.7465A at t = |s → Current = 10 (1)-5C) = 0.067 4 at t=5s Camore = (0 (5) ~5(5) = 6.9x10-1 A C) VL=L = 0.1× [ lote=¹] = est-stest =est (1-5+) 4= 0 +12=1 4=1 → VL=0 d) (CA) (f) and (9) t(s)
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