A series RLC AC Circuit is connected to a 110 volt generator line with A frequency of 60Hz. If the R = 1000 Ohms , L =3 H and C =2 μF, Find a)The XL, Xc , and total Z b) line current I c) Voltage drops VR , VL , and Vc ,

A series RLC AC Circuit is connected to a 110 volt generator line with A frequency of 60Hz. If the R = 1000 Ohms , L =3 H and C =2 μF, Find a)The XL, Xc , and total Z b) line current I c) Voltage drops VR , VL , and Vc ,

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter33: Inductors And Ac Circuits

Section: Chapter Questions

Problem 57PQ

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Question

A series RLC AC Circuit is connected to a 110 volt generator line with A frequency of 60Hz. If the R = 1000 Ohms , L =3 H and C =2 μF, Find

a)The XL, Xc , and total Z

b) line current I

c) Voltage drops VR , VL , and Vc ,

Expert Solution

Step 1

$V = 110 v f = 60 H z R = 1000 o h m s L = 3 H C = 2 μ F$

Step 2

$a) X_{L} = 2 πfL X_{L} = 2 π * 60 * 3 X_{L} = 1130.97 ohm X_{c} = (1 / 2 πfC) X_{c} = 1 / (2 π * 60 * 2 * 10^{- 6}) X_{c} = 1326.3 ohm Z = \sqrt{1000^{2} + {(1326.3 - 1130.97)}^{2}} Z = 1018.9 ohm$

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