The output voltage of an AC generator is given by ?v = 110 V sin (44pt). The gen

Question

The output voltage of an AC generator is given by ?v = 110 V sin (44pt). The generator is connected across a 0.007 H inductor. Find the following.
(a) frequency of the generator
Hz

(b) rms voltage across the inductor
V

(c) inductive reactance
O

(d) rms current in the inductor
A

(e) maximum current in the inductor
A

(f) average power delivered to the inductor
W

(g) Find an expression for the instantaneous current. (Use the following as necessary: t.)



i

=





(h) At what time after t = 0 does the instantaneous current first reach 1.00 A? (Use the inverse sine function.)
s

Explanation / Answer

a) frequncy f = 2/0

f = 2/45

f = 0.044 Hz

B) rms = max/2

         = 127/1.414

          = 89.8 volts

C) inductive reactance XL = L

                                    = 45* 0.007

                                 =0.989

D) Irms = rms/xl

         = 90.8 amps

E) i max = e rms *2

              = 90.8*1.414

               = 128.38 amps

F) avg power P = Imax^2 R/2

                      = 8151 watts

G)

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