BasicB-005-011-003
A transformer with a single 12-volt secondary draws 0.5 amperes through its 120-volt primary. Assuming no losses, what current is drawn from the secondary?
A
Answer
Transmitters, receivers, and measurements
Type
A
5 amperes
B
25 amperes
C
50 amperes
D
2.5 amperes
Answer Notes
In an ideal transformer with no losses, the power entering the primary winding is exactly equal to the power leaving the secondary winding (Power_primary = Power_secondary).
First, calculate the total power in the primary circuit using P = E × I. Multiplying 120 volts by 0.5 amperes gives a total power of 60 watts.
Because the secondary power must also be 60 watts, you can find the secondary current by rearranging the power formula to I = P / E. Dividing 60 watts by the 12-volt secondary voltage gives exactly 5 amperes. Alternatively, you can recognize that since the voltage is stepped down by a factor of 10 (120V to 12V), the current must be stepped up by that same factor of 10 (0.5A to 5A).
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The primary winding of a transformer has 250 turns, and the secondary has 500 turns. If the input voltage is 120 volts, what is the secondary voltage?