OV I 70. O El zain IQ Total Efficiency = Pump Efficiency X MotorEfficiency 10 Bags MoTor 9 Bags Pump 7 Bags Total 78 % 70%0.90 X 0.78 = 0.70 = 70% 10:44 äc lull 21.10.23 A OProve that the total efficiency of the system is in a way that isequal to the product of the first efficiency multiplied by theefficiency of the second by the efficiency of the thirdTotal Efficiency = Pump Efficiency X Motor Efficiency10 Bags9 Bags7 BagsTotalPumpMotor78 %70%0.90 X 0.78 = 0.70 = 70%

Answered: OV I 70. O El zain IQ Total Efficiency…

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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OV I 70. O El zain IQ Total Efficiency = Pump Efficiency X Motor
Efficiency 10 Bags MoTor 9 Bags Pump 7 Bags Total 78 % 70%
0.90 X 0.78 = 0.70 = 70% 10:44 äc lull 21.10.23 A O
Prove that the total efficiency of the system is in a way that is
equal to the product of the first efficiency multiplied by the
efficiency of the second by the efficiency of the third
Total Efficiency = Pump Efficiency X Motor Efficiency
10 Bags
9 Bags
7 Bags
Total
Pump
Motor
78 %
70%
0.90 X 0.78 = 0.70 = 70%

Expert Solution

Step 1

Let us consider three interconnected to each other. The block diagram is shown below:

The output power across system 1 with the given efficiency is calculated as shown below:

$η_{1} = \frac{P_{o u t 1}}{P_{i n 1}} P_{o u t 1} = η_{1} P_{i n 1}$

The output power across system 2 with the given efficiency is calculated as shown below:

$η_{2} = \frac{P_{o u t 2}}{P_{i n 2}} P_{i n 2} = P_{o u t 1} η_{2} = \frac{P_{o u t 2}}{P_{o u t 1}} P_{o u t 1} = η_{1} P_{i n 1} η_{2} = \frac{P_{o u t 2}}{η_{1} P_{i n 1}} P_{o u t 2} = η_{1} η_{2} P_{i n 1}$

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