a. What is the sinusoidal expression for the current, i(t), through this inductor? Vin= 30sin (wt) Vin V = L di dt ↓ i(t) = sin (wt - 90°1 i(t) XL L 102 Vp | Ipl = |ve| 30 | 3A XL Y 10 7 ↓ i(t) = 3 sin (wt-90°) A b. Sketch v(t) and i(t) sinusoidal wave forms on the same axis V(wt), i(wt) v(t) = 30 sin (wt) 30 3+ -90° 1800 i(t) = 35 in (wt-90 360° 90°180 2703 w(t)

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The voltage across a 10 Ω inductive reactance is:   v(t) = 30 sin ῳt.

  1. What is the sinusoidal expression for the current, i(t), through this inductor?
  2. Sketch v(t) and i(t) sinusoidal waveforms on the same axis.

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a. What is the sinusoidal expression for
the current, i(t), through this inductor?
Vin= 30sin (wt) Vin
V = L di
dt
↓
i(t) = sin (wt - 90°1
i(t)
XL
L
102
Vp
| Ipl = |ve| 30 | 3A
XL
Y
10
7
↓
i(t) = 3 sin (wt-90°) A
b. Sketch v(t) and i(t) sinusoidal wave forms
on the same axis
V(wt), i(wt)
v(t) = 30 sin (wt)
30
3+
-90°
1800
i(t) = 35 in (wt-90
360°
90°180
2703
w(t)
Transcribed Image Text:a. What is the sinusoidal expression for the current, i(t), through this inductor? Vin= 30sin (wt) Vin V = L di dt ↓ i(t) = sin (wt - 90°1 i(t) XL L 102 Vp | Ipl = |ve| 30 | 3A XL Y 10 7 ↓ i(t) = 3 sin (wt-90°) A b. Sketch v(t) and i(t) sinusoidal wave forms on the same axis V(wt), i(wt) v(t) = 30 sin (wt) 30 3+ -90° 1800 i(t) = 35 in (wt-90 360° 90°180 2703 w(t)
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