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Chapter 31: Q.62P (page 939)

A generator supplies 100 V to a transformer鈥檚 primary coil, which has50turns. If the secondary coil has 500 turns, what is the secondary voltage?

Short Answer

Expert verified

The secondary voltage is 1.00脳103V.

Step by step solution

01

Listing the given quantities:

Primary voltage is Vp=100V.

Number of turns in primary coil is Np=50.

Number of turns in secondary coil is role="math" localid="1663223267436" Ns=500.

02

Understanding the relationship between the voltage and the number of turns:

The number of turns on the primary winding divided by the number of turns on the secondary coil is the turns ratio of the transformer. The turns ratio of the transformer affects the expected function of the transformer as well as the required voltage on the secondary winding.

03

Explanation:

Write the equation that shows the relation between the voltages, and the number of turns as below.

VsVp=NsNp

Rearranging it for Vs, and you have

Vs=VpNsNp=10050050=1.00脳103V

Hence, the secondary voltage is 1.00脳103V.

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