2. To illustrate the benefit of using transformers to minimize power transmission losses over longdistances, consider the following: We wish to supply power to a 15 22 load 30 miles away usinga 110 Vrms source. The resistance of the power line connecting the source to the load is 0.12 22per 1000 ft.a. Compute the power delivered to the load along with the power transmission efficiency ifthe load is simply connected to the source using the transmission line. The efficiency isdefined as the power delivered to the load divided by the power drawn from the source.b. Now compute the transmission efficiency assuming a step-up transformer with a ratio of1:20 is used to increase the voltage before transmitting the power through powertransmission line, then use a 20:1 step down transformer to reduce the voltage back to around110 VAC where it is connected to the 15 2 load. You will need to reflect the 15 load tothe primary side of the step-down transformer, compute a combined line/load resistance, thenreflect this resistance to the primary of the step-up transformer. Assume ideal transformers.

The benefit of using transformer to minimize transmission losses over long distances. Load…

Answered: The resistance of the power line…

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The resistance of the power line connecting the source to the load is 0.12 22

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

2. To illustrate the benefit of using transformers to minimize power transmission losses over long
distances, consider the following: We wish to supply power to a 15 22 load 30 miles away using
a 110 Vrms source. The resistance of the power line connecting the source to the load is 0.12 22
per 1000 ft.
a. Compute the power delivered to the load along with the power transmission efficiency if
the load is simply connected to the source using the transmission line. The efficiency is
defined as the power delivered to the load divided by the power drawn from the source.
b. Now compute the transmission efficiency assuming a step-up transformer with a ratio of
1:20 is used to increase the voltage before transmitting the power through power
transmission line, then use a 20:1 step down transformer to reduce the voltage back to around
110 VAC where it is connected to the 15 2 load. You will need to reflect the 15 load to
the primary side of the step-down transformer, compute a combined line/load resistance, then
reflect this resistance to the primary of the step-up transformer. Assume ideal transformers.

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