An AC voltage source is connected to an inductor with inductance 0.047 H. The voltage source provides a time-dependent voltage V across the inductor as described by V(t) = v0 sin(ωt), where v0 = 251 V and ω = 991 rad/s.   a) Find the current through the inductor, in amperes with its sign, at time t = 1.9 s.    b) Calculate the instantaneous power, in watts with its sign, that the inductor is absorbing at time t = 1.9 s.

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter33: Inductors And Ac Circuits
Section: Chapter Questions
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 An AC voltage source is connected to an inductor with inductance 0.047 H. The voltage source provides a time-dependent voltage V across the inductor as described by V(t) = v0 sin(ωt), where v0 = 251 V and ω = 991 rad/s.  

a) Find the current through the inductor, in amperes with its sign, at time t = 1.9 s.   

b) Calculate the instantaneous power, in watts with its sign, that the inductor is absorbing at time t = 1.9 s.  

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