Question

Question 20

A transformer has 500 turns in its primary coil and 200 in the secondary coil.
a) If an AC voltage of 220 V and frequency 50 Hz is established in the primary coil, find the voltage
and the frequency induced in the secondary coil. (2)​

Answer 1

9514 1404 393

Answer:

• 88 V
• 50 Hz

Explanation:

The secondary voltage is proportional to the primary voltage. The constant of proportionality is the ratio of secondary turns to primary turns.

The secondary voltage is ...

(200/500)(220 V) = 88 V

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A transformer does not change the frequency.* The voltage in the secondary coil is still 50 Hz.

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* Most transformers are designed to operate as linear devices. It is possible to design a transformer (with special core material) that operates non-linearly, and/or that is "tuned" to a frequency other than the one exciting the primary. That is, the secondary voltage may be some harmonic of the primary voltage. This would be a relatively unusual application of a transformer, beyond the apparent scope of the question here.