Series LRC Circuits Video Lessons

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Problem: In a simple AC circuit shown on the right, C = 0.0065 F, L = 1.2 H, R = 25 Ω, and ΔV = ΔVmaxsin(ωt), where ΔVmax = 5.5 V and ω = 32 rad/sPart A. Express the capacitive reactance, XC, in terms of C, and ω.Part B. Calculate the numerical value of XC in ohms.Part C. Express the inductive reactance, XL, in terms of L, and ω.Part D. Calculate the numerical value of XL in ohms.Part E. Express the impedance, Z, in terms of R, XL, and XC.Part F. Calculate the numerical value of Z in ohms.Part G. Express the maximum current Imax in terms of ΔVmax and Z.Part H. Calculate the numerical value of Imax 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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In this problem, we are required to state expressions relating to quantities in AC circuits and work out their numerical values.

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Problem Details

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

Part A. Express the capacitive reactance, XC, in terms of C, and ω.
Part B. Calculate the numerical value of XC in ohms.
Part C. Express the inductive reactance, XL, in terms of L, and ω.
Part D. Calculate the numerical value of XL in ohms.
Part E. Express the impedance, Z, in terms of R, XL, and XC.
Part F. Calculate the numerical value of Z in ohms.
Part G. Express the maximum current Imax in terms of ΔVmax and Z.
Part H. Calculate the numerical value of Imax 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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