A transformer is known to step down an input voltage by a factor of 25. Assume t

Question

A transformer is known to step down an input voltage by a factor of 25. Assume that the transformer transmits electrical power through it with 100% efficiency. If 89kW of electrical is input to the primary coil at a current of 10.0 amps, what is the output current from the secondary coil? A transformer is known to step down an input voltage by a factor of 25. Assume that the transformer transmits electrical power through it with 100% efficiency. If 89kW of electrical is input to the primary coil at a current of 10.0 amps, what is the output current from the secondary coil?

Explanation / Answer

Since the transformer has 100% efficiency

INput power = output power

V1*I1 = V2*I2

89000 = V2*I2

but given that V1*I1 = 89000

V1 = 89000/10 = 8900 V

V2 = 8900/25 = 356 V

then 89000 = 356*I2

current in the secondary coil is I2 = 89000/356 = 250 A

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