Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 23 - Magnetic Flux and Faraday's Law of Induction - Problems and Conceptual Exercises - Page 833: 67

Answer

$6I_s$

Work Step by Step

We know that $\frac{N_p}{N_s}=\frac{I_s}{I_p}$ Now for transformer 1 $\frac{N_{1p}}{N_{1s}}=\frac{I_{1s}}{I_{1p}}$......eq(1) For transformer 2 $\frac{N_{2p}}{N_{2s}}=\frac{I_{2s}}{I_{2p}}$......eq(2) Dividing eq(2) by eq(1), we obtain: $\frac{N_{1p}}{N_{1s}}\frac{N_{2s}}{N_{2p}}=\frac{I_{1s}}{I_{1p}}\frac{I_{2p}}{I_{2s}}$ We substitute $2N_{1p}$ for $N_{2p}$ and $3I_{1p}$ for $I_{2p}$ and $N_{1s}=N_{2s}$ $\implies \frac{N_{1p}}{N_{2s}}\frac{N_{2s}}{2N_{1p}}=\frac{I_{1s}}{I_{1p}}\frac{3I_{1p}}{I_{2s}}$ This simplifies to: $I_{2s}=6I_{1s}$
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