An ac generator provides 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 to a much lower value that is safe and convenient for use in the factory. The transmission line resistance is R per cable, and the power of the generator is P. The generator can supply either Vt = V1 or Vt = V2. (a) What is the ratio of the voltage decrease AV along the transmission line when operating at V1 to the voltage decrease at V2? (b) What is the ratio of the power loss Pg at V, to the power loss at V2? Express your answers in terms of P, R, V1, and V2.

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Chapter 31, Problem 065 SN
An ac generator provides 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 Vt
to a much lower value that is safe and convenient for use in the factory. The transmission line
resistance is R per cable, and the power of the generator is P. The generator can supply either Vt = V1
or Vt = V2. (a) What is the ratio of the voltage decrease AV along the transmission line when
operating at Vị to the voltage decrease at V2? (b) What is the ratio of the power loss Pd at V1 to the
power loss at V2? Express your answers in terms of P, R, V1, and V2.
(a) AV,/AV2 =
2 Edit
(b) Pa1/Pa2 =
%3D
2 Edit
Transcribed Image Text:Chapter 31, Problem 065 SN An ac generator provides 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 Vt to a much lower value that is safe and convenient for use in the factory. The transmission line resistance is R per cable, and the power of the generator is P. The generator can supply either Vt = V1 or Vt = V2. (a) What is the ratio of the voltage decrease AV along the transmission line when operating at Vị to the voltage decrease at V2? (b) What is the ratio of the power loss Pd at V1 to the power loss at V2? Express your answers in terms of P, R, V1, and V2. (a) AV,/AV2 = 2 Edit (b) Pa1/Pa2 = %3D 2 Edit
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