Problem 5: In a simple AC circuit shown on the right, C = 0.0015 F, L = 1.7 H, R = 15 Q, and AV = AVmaxsin(wt), where AVmax = 1.5 V and w = 49 rad/s.

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Problem 5: In a simple AC circuit shown on the right, C = 0.0015 F, L =
1.7 H, R = 15 2, and AV = AVmaxsin(wt), where AVmax = 1.5 V and w = 49
rad/s.
R
AV
Part (a) Express the capacitive reactance, Xc, in terms of C, and w.
Expression :
Xc =.
Select from the variables below to write your expression. Note that all variables may not be required.
a, AVmax, w, 0, b, C, d, g, L, m, R, t, Xc, XL, Z
Part (b) Calculate the numerical value of Xcin ohms.
Numeric : A numeric value is expected and not an expression.
Xc =
Part (c) Express the inductive reactance, XL, in terms of L, and w.
Expression :
XL =
Select from the variables below to write your expression. Note that all variables may not be required.
a, AVmax, W, 0, b, C, d, g, L, m, R, t, Xc, XL, Z
Part (d) Calculate the numerical value of X1, in ohms.
Numeric : A numeric value is expected and not an expression.
XL =
Part (e) Express the impedance, Z, in terms of R, X1, and Xc.
Expression :
Z =
Select from the variables below to write your expression. Note that all variables may not be required.
a, AVmax, W, 0, b, C, d, g, L, m, R, t, Xc, XL, Z
Part (f) Calculate the numerical value of Z in ohms.
Numeric : A numeric value is expected and not an expression.
Z =
Part (g) Express the maximum current Imax, in terms of 4Vmax and Z.
Expression :
Imax =
Select from the variables below to write your expression. Note that all variables may not be required.
a, AVmax, W, 0, b, C, d, g, L, m, R, t, Xc, XL, Z
Part (h) Calculate the numerical value of Imax in A.
Numeric : A numeric value is expected and not an expression.
Imax =
Part (i) Express the tangent of the phase angle between current and source voltage, o, in terms of XL, Xc, and R.
Expression :
tan(o) =
Select from the variables below to write your expression. Note that all variables may not be required.
a, AVmax, w, 0, b, C, d, g, L, m, R, t, Xc, XL, Z
Part (j) Calculate the numerical value of o in radians.
Numeric : A numeric value is expected and not an expression.
Transcribed Image Text:Problem 5: In a simple AC circuit shown on the right, C = 0.0015 F, L = 1.7 H, R = 15 2, and AV = AVmaxsin(wt), where AVmax = 1.5 V and w = 49 rad/s. R AV Part (a) Express the capacitive reactance, Xc, in terms of C, and w. Expression : Xc =. Select from the variables below to write your expression. Note that all variables may not be required. a, AVmax, w, 0, b, C, d, g, L, m, R, t, Xc, XL, Z Part (b) Calculate the numerical value of Xcin ohms. Numeric : A numeric value is expected and not an expression. Xc = Part (c) Express the inductive reactance, XL, in terms of L, and w. Expression : XL = Select from the variables below to write your expression. Note that all variables may not be required. a, AVmax, W, 0, b, C, d, g, L, m, R, t, Xc, XL, Z Part (d) Calculate the numerical value of X1, in ohms. Numeric : A numeric value is expected and not an expression. XL = Part (e) Express the impedance, Z, in terms of R, X1, and Xc. Expression : Z = Select from the variables below to write your expression. Note that all variables may not be required. a, AVmax, W, 0, b, C, d, g, L, m, R, t, Xc, XL, Z Part (f) Calculate the numerical value of Z in ohms. Numeric : A numeric value is expected and not an expression. Z = Part (g) Express the maximum current Imax, in terms of 4Vmax and Z. Expression : Imax = Select from the variables below to write your expression. Note that all variables may not be required. a, AVmax, W, 0, b, C, d, g, L, m, R, t, Xc, XL, Z Part (h) Calculate the numerical value of Imax in A. Numeric : A numeric value is expected and not an expression. Imax = Part (i) Express the tangent of the phase angle between current and source voltage, o, in terms of XL, Xc, and R. Expression : tan(o) = Select from the variables below to write your expression. Note that all variables may not be required. a, AVmax, w, 0, b, C, d, g, L, m, R, t, Xc, XL, Z Part (j) Calculate the numerical value of o in radians. Numeric : A numeric value is expected and not an expression.
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