### Chapter 31, Problem 065#### Problem StatementAn AC generator provides an EMF to a resistive load in a remote factory over a two-cable transmission line. At the factory, a step-down transformer reduces the voltage from its (RMS) transmission value \( V_t \) to a much lower value that is safe and convenient for use in the factory. The transmission line resistance is \(0.51 \, \Omega/\text{cable}\), and the power of the generator is \(279 \, \text{kW}\).Given:- \( V_t = 110 \, \text{kV} \)1. What is (a) the voltage decrease \( \Delta V \) along the transmission line and (b) the rate \( P_d \) at which energy is dissipated in the line as thermal energy? 2. If \( V_t = 8.1 \, \text{kV} \), what are (c) \( \Delta V \) and (d) \( P_d \)? 3. If \( V_t = 0.86 \, \text{kV} \), what are (e) \( \Delta V \) and (f) \( P_d \)?#### Solutions(a) - \(\Delta V = 2.586 \, \text{kV}\)(b) - \(P_d = 6.559 \, \text{kW}\)(c) - \(\Delta V = 35.12 \, \text{kV}\)(d) - \(P_d = 209.8 \, \text{kW}\)(e) - \(\Delta V = 330.8 \, \text{kV}\) Note: The answer marked with a red “X” indicates this value is incorrect. (f) - \(P_d = 107.300 \, \text{kW}\)#### ExplanationThis problem explores the relationship between the voltage, power dissipation, and thermal energy in a transmission line. The voltage drop \( \Delta V \) along the line affects how much energy is lost as heat, which is represented by \( P_d \). By changing the transmission voltage \( V_t \), we observe how it impacts \( \Delta V \) and \( P_d \), demonstrating the importance of voltage regulation in power transmission systems for efficient energy distribution. This

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Chapter 31, Problem 065 Your answer is partially correct. Try again. n ac generator provides emf to a resistive load in a remote factory over a two-cable transmission line. At the factory a tep-down transformer reduces the voltage from its (rms) transmission value V, to a much lower value that is safe and onvenient for use in the factory. The transmission line resistance is 0.51 2/cable, and the power of the generator is 279 W. If V = 110 kV, what are (a) the voltage decrease AV along the transmission line and (b) the rate Pa at which energy s dissipated in the line as thermal energy? If V = 8.1 kV, what are (c) AV and (d) Pg? If V = 0.86 kV, what are (e) AV nd (f) Pd? Ca) Number 12.586 Units (b) Numbel6.559 UnitsW c) Number Unit T35.12 (d) Numbel 209.8 UnitsW (e) Number Units TKV 330.8 (f) Numbel07.300 Unitsw

Chapter 31, Problem 065 Your answer is partially correct. Try again. n ac generator provides emf to a resistive load in a remote factory over a two-cable transmission line. At the factory a tep-down transformer reduces the voltage from its (rms) transmission value V, to a much lower value that is safe and onvenient for use in the factory. The transmission line resistance is 0.51 2/cable, and the power of the generator is 279 W. If V = 110 kV, what are (a) the voltage decrease AV along the transmission line and (b) the rate Pa at which energy s dissipated in the line as thermal energy? If V = 8.1 kV, what are (c) AV and (d) Pg? If V = 0.86 kV, what are (e) AV nd (f) Pd? Ca) Number 12.586 Units (b) Numbel6.559 UnitsW c) Number Unit T35.12 (d) Numbel 209.8 UnitsW (e) Number Units TKV 330.8 (f) Numbel07.300 Unitsw

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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