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A transformer of frequency 60 Hz and 120...

A transformer of frequency 60 Hz and 120 V input has `8:1` turn ratio. The frequency of the output is

A

40 Hz

B

480 Hz

C

2 Hz

D

60 Hz

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to determine the frequency of the output voltage of a transformer given the input frequency and the turn ratio. ### Step-by-Step Solution: 1. **Understand the Transformer Basics**: A transformer works on the principle of mutual induction and is used to change the voltage levels in an AC circuit. The key point is that the frequency of the output voltage is determined by the frequency of the input voltage. 2. **Identify Given Values**: - Input frequency (f_input) = 60 Hz - Input voltage = 120 V (not directly relevant for frequency) - Turn ratio = 8:1 (this indicates the relationship between the primary and secondary turns, but it does not affect the frequency). 3. **Frequency Relationship**: In a transformer, the frequency of the output voltage is the same as the frequency of the input voltage. This is because the alternating current (AC) in the primary coil induces an alternating current in the secondary coil at the same frequency. 4. **Conclusion**: Since the input frequency is 60 Hz, the output frequency will also be 60 Hz. ### Final Answer: The frequency of the output is **60 Hz**. ---
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