Problem 6: Suppose the voltage source for a series RL-circuit were given as V0sin(ωt) instead of V0cos(ωt). Part (a) Enter an expression for the current amplitude in terms of V0, ω, R, and L. I0 = ______ Part (b) Calculate the current amplitude, in milliamperes, when V0 = 1.9 V, ω = 45 rad/s, R = 29 Ω, and L = 0.84 H. I0 = ______ Part (c) Enter an expression for the tangent of the phase constant in terms of ω, R, and L. tanφ = ______ Part (d) Calculate the phase constant, in radians in the range -π/2 ≤ φ ≤ π/2, for the circuit parameter values given in part (b). φ = ______

Problem 6: Suppose the voltage source for a series RL-circuit were given as V0sin(ωt) instead of V0cos(ωt). Part (a) Enter an expression for the current amplitude in terms of V0, ω, R, and L. I0 = Part (b) Calculate the current amplitude, in milliamperes, when V0 = 1.9 V, ω = 45 rad/s, R = 29 Ω, and L = 0.84 H. I0 = Part (c) Enter an expression for the tangent of the phase constant in terms of ω, R, and L. tanφ = Part (d) Calculate the phase constant, in radians in the range -π/2 ≤ φ ≤ π/2, for the circuit parameter values given in part (b). φ =

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.61P

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Transmission Line Parameters

The performance of a power system is mostly determined by the producing stations and transmission lines in the system which can be studied with the help of transmission line parameters.

Question

Problem 6: Suppose the voltage source for a series RL-circuit were given as V₀sin(ωt) instead of V₀cos(ωt).

Part (a) Enter an expression for the current amplitude in terms of V₀, ω, R, and L.

I₀ = ______

Part (b) Calculate the current amplitude, in milliamperes, when V₀ = 1.9 V, ω = 45 rad/s, R = 29 Ω, and L = 0.84 H.

I₀ = ______

Part (c) Enter an expression for the tangent of the phase constant in terms of ω, R, and L.

tanφ = ______

Part (d) Calculate the phase constant, in radians in the range -π/2 ≤ φ ≤ π/2, for the circuit parameter values given in part (b).

φ = ______

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Step 2: a. Find the expression for the current amplitude.

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Step 3: b. Find the current amplitude.

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Step 4: c. Find the expression for the tangent of the phase constant.

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Step 5: d. Find the value of the phase constant.

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Transmission Line Parameter (T-parameter)

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