Problem 6: In a simple AC circuit shown on the right, C= 0.0095 F, L = 1.4 H, R = 35 Q, and AV = AVmarsin(@t), where AVmex = 1.5 V and w = 38 rad/s. R AV Part (a) Express the capacitive reactance, Xc, in terms of C, and w. Xc = 1/( o C) v Part (b) Calculate the numerical value of Xc in ohms. Xc= 2.77 v Part (c) Express the inductive reactance, X7, in terms of L, and o. X = coL V Part (d) Calculate the numerical value of X, in ohms. X = 53 v Part (e) Express the impedance, Z, in terms of R, X1, and Xc. z= (R? + (X1 - Xc) v Part (f) Calculate the numerical value of Z in ohms. Z= 61.4 Part (g) Express the maximum current Imar, in terms of AVmar and Z. Imar -AVmax Z Part (h) Calculate the numerical value of Imer in A. Imax = 0.024 Part (i) Express the tangent of the phase angle between current and source voltage, @, in terms of X7, Xc, and R. tan(o) = ( XL - Xc R V Part (j) Calculate the numerical value of o in radians. p = 1.435| sin() cos() tan() 7 8. 9 HOME cotan() asin() acos() E 1^AL 4 5 6 atan() acotan() sinh() 1 * 2 3

Problem 6: In a simple AC circuit shown on the right, C= 0.0095 F, L = 1.4 H, R = 35 Q, and AV = AVmarsin(@t), where AVmex = 1.5 V and w = 38 rad/s. R AV Part (a) Express the capacitive reactance, Xc, in terms of C, and w. Xc = 1/( o C) v Part (b) Calculate the numerical value of Xc in ohms. Xc= 2.77 v Part (c) Express the inductive reactance, X7, in terms of L, and o. X = coL V Part (d) Calculate the numerical value of X, in ohms. X = 53 v Part (e) Express the impedance, Z, in terms of R, X1, and Xc. z= (R? + (X1 - Xc) v Part (f) Calculate the numerical value of Z in ohms. Z= 61.4 Part (g) Express the maximum current Imar, in terms of AVmar and Z. Imar -AVmax Z Part (h) Calculate the numerical value of Imer in A. Imax = 0.024 Part (i) Express the tangent of the phase angle between current and source voltage, @, in terms of X7, Xc, and R. tan(o) = ( XL - Xc R V Part (j) Calculate the numerical value of o in radians. p = 1.435| sin() cos() tan() 7 8. 9 HOME cotan() asin() acos() E 1^AL 4 5 6 atan() acotan() sinh() 1 * 2 3

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 75PQ

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