A transformer has an input of 24 V and an output of 36 V. If the input is changed to 12 V what will the output be?

Respuesta :

ANSWER:

18 V

STEP-BY-STEP EXPLANATION:

Given:

Initial condition (1):

input voltage = Vi1 = 24 V

output voltage = Vo1 = 36 V

Final condition (2):

input voltage = Vi2 = 12 V

We can calculate the output voltage of the final condition as follows:

[tex]\begin{gathered} \frac{V_{i1}}{V_{o1}}=\frac{V_{\imaginaryI2}}{V_{o2}} \\ \\ \text{ We replacing:} \\ \\ \frac{24}{36}=\frac{12}{V_{o2}} \\ \\ V_{o2}=\frac{12}{24}\cdot36 \\ \\ V_{o2}=18\text{ V} \end{gathered}[/tex]

Therefore, in the final condition, the output voltage will be 18 volts.

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