In this problem, we are required to state expressions relating to quantities in AC circuits and work out their numerical values.

In a simple AC circuit shown on the right, C = 0.0065 F, L = 1.2 H, R = 25 Ω, and ΔV = ΔV_{max}sin(ωt), where ΔV_{max} = 5.5 V and ω = 32 rad/s

Part A. Express the capacitive reactance, X_{C}, in terms of C, and ω.

Part B. Calculate the numerical value of X_{C} in ohms.

Part C. Express the inductive reactance, X_{L}, in terms of L, and ω.

Part D. Calculate the numerical value of X_{L} in ohms.

Part E. Express the impedance, Z, in terms of R, X_{L}, and X_{C}.

Part F. Calculate the numerical value of Z in ohms.

Part G. Express the maximum current I_{max} in terms of ΔV_{max} and Z.

Part H. Calculate the numerical value of I_{max} in A.

Part I. Express the tangent of the phase angle between current and source voltage, φ, in terms of XL, XC, and R.

Part J. Calculate the numerical value of φ in radians

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