O 6800.00O 19000.00O 32908.97O 11777.95A 3-phase 410, 50HZ supply is given to delta connected load with impedance (6-j11) ohms. The line current isA transformer has 460W Iron loss at full-load. The Iron loss at half full-load ishp144441&58V

Answered: A 3-phase 410, 50HZ supply is given to…

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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O 6800.00
O 19000.00
O 32908.97
O 11777.95
A 3-phase 410, 50HZ supply is given to delta connected load with impedance (6-j11) ohms. The line current is
A transformer has 460W Iron loss at full-load. The Iron loss at half full-load is
hp
144
441
&
5
8
V

Expert Solution

Step 1

Part (a):

In a delta connection, an impedance is connected between any two phases. The voltage across any two phases is known as the line voltage. The current flowing through the impedance is known as the phase current in the delta connection.

The phase current is determined as:

$\begin{array}{rcl} I_{p h} & = & \frac{V_{L}}{|Z|} \\ = & \frac{410 V}{\sqrt{6^{2} + 11^{2}} Ω} \\ = & \frac{410 V}{12.53 Ω} \\ = & 32.72 A \end{array}$

Step 2

The relationship between the line current and the phase current is given as:

$\begin{array}{rcl} I_{L} & = & \sqrt{3} I_{p h} \\ = & \sqrt{3} (32.72 A) \\ = & 56.67 A \end{array}$

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