Question

The output voltage of an AC generator is given by 

Δv = (1.18 ✕ 10² V)sin(31?t).

 The generator is connected across a 0.500 H inductor. Find the following.

(a) frequency of the generator
  Hz

(b) rms voltage across the inductor
  V

(c) inductive reactance
  Ω

(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

=

2.42·sin(31πt)

(h) At what time after 

t = 0

 does the instantaneous current first reach 1.00 A? (Use the inverse sine function.)
 
Your response differs from the correct answer by more than 10%. Double check your calculations. ms

Please answer (g) and (h).

Answer 1

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

i

=

2.42·sin(31πt−π2)

(h) At what time after 

t = 0

 does the instantaneous current first reach 1.00 A? (Use the inverse sine function.)
  ms