Obraz (723)

-52-

I_m ⁼ 2e^il20° [a]

I_m = 2(cos 120° + j sin 120°) = -1 + jV3 [a] h\ = JMĘ = V4=2[A]

a Im

o = 120° = — n 3

-►

Re

i(t) = 2 sin(<yt +120° ][a]

i(t = 0)= 2sinl20° = V3 * 1,73[a]

f rpN		f 1 T 2 >		(5 )		f Tl)
t = —	= 2 sin	2n----+ — 7t	= 2sin		= 2 sin
l 2y		l T 2 3 J		U J

= -V3[A]

Ad. b)

I_lm=2c-^=2c^[A]

I_2m=-4 + j3[A]

I,„ =2(cos90°+jsin90°)=j2[A] I_m = -4 + j3 + j2 = -4 + j5[A]

Iⁱ«I = V4²+5^j =V4l[A] |a| = arctg — = 51°

(p = m° -51° =129°

I_m=V4Te*”-[A]

i(t) = 'JĄ! sin(cot +129° )[a]

i(o) = V4d sin 129° « 5[a]«— wartość składowej urojonej wektora I_n