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A transformer has a primary rated voltage of 240 volts and a secondary rated voltage of 115 volts. If 209 volts is applied to the primary, how many volts are induced in the secondary?

A. 100.5 volts
B. 115 volts
C. 122.5 volts
D. 128.9 volts

Answer :

Final answer:

To calculate the induced voltage in the secondary coil of a transformer when 209 volts is applied to the primary, multiply the actual primary voltage by the turns ratio of the transformer's rated voltages, resulting in 100.5 volts.

Explanation:

The voltage ratio of a transformer is directly proportional to the turns ratio. This means that the voltage induced in the secondary coil can be found by applying the ratio of the primary to the secondary voltages to the actual voltage applied to the primary. Given the transformer's rated voltages, 240 volts (primary) and 115 volts (secondary), and an applied primary voltage of 209 volts, we first calculate the turns ratio using the rated voltages: turns ratio = 115 / 240. To find the induced voltage in the secondary when 209 volts is applied to the primary, we multiply the actual primary voltage by the turns ratio:

Induced secondary voltage = turns ratio x actual primary voltage = (115 / 240) x 209 = 100.5 volts

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