A transformer connected to a 240\(V_{r.m.s}\) has 3000 turns in its primary coil and 500 turns in its secondary coil. Calculate the output voltage.
Question 1 Report
A transformer connected to a 240\(V_{r.m.s}\) has 3000 turns in its primary coil and 500 turns in its secondary coil. Calculate the output voltage.
Answer Details
The output voltage of a transformer can be calculated using the formula:
output voltage = input voltage × (number of turns in secondary coil / number of turns in primary coil)
In this case, the input voltage is given as 240\(V_{r.m.s}\), the number of turns in the primary coil is 3000, and the number of turns in the secondary coil is 500.
So, the output voltage can be calculated as:
output voltage = 240\(V_{r.m.s}\) × (500/3000) = 40\(V_{r.m.s}\)
Therefore, the output voltage of the transformer is 40\(V_{r.m.s}\). Answer option C is correct.
Note that the root mean square (RMS) value of an AC voltage represents the equivalent DC voltage that would produce the same heating effect in a resistor. In other words, an RMS voltage of 240\(V_{r.m.s}\) would produce the same heating effect as a DC voltage of 240V.
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