The output voltage of an AC generator is given by v = 127 V sin (36t). The gener

ID: 1505372 • Letter: T

Question

The output voltage of an AC generator is given by v = 127 V sin (36t). 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

(d) rms current in the inductor ____ A

(e) maximum current in the inductor.________ A

(f) average power delivered to the 0 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

a) f = w/2 = 36/2 = 18 Hz

b) Vrms = 127/sqrt(2) = 89.8 V

c) XL = wL = 36 x 0.007 = 0.7917 ohm

d) Irms = 89.8/0.7917 = 113.43 A

e) Imax = 127/0.7917 = 160.42 ohm

f) avg power = 0

g) i = 160.42 sin(36t - 90) = -160.42 cos(36t) A

h) 1 = -160.42cos(36t)

t = 0.013944 sec

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