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The plug-in transformer for a laptop computer puts out 7.50 V and can supply a maximum current of 1.6 A. What is the maximum input current Ip in amps, if the input voltage is 240 V? Assume 100% efficiency

Respuesta :

Answer:

The input current is 0.05 A.

Explanation:

Given that,

Output voltage = 7.50 V

Output current = 1.6 A

Input voltage = 240 v

We need to calculate the input current

The efficiency is 100% so.

Input power = output power

[tex]\dfrac{V_{i}}{V_{o}}=\dfrac{I_{o}}{I_{i}}[/tex]

[tex]\dfrac{240}{7.50}=\dfrac{1.6}{I_{i}}[/tex]

[tex]I_{i}=\dfrac{1.6\times7.50}{240}[/tex]

[tex]I_{i}=0.05\ A[/tex]

Hence, The input current is 0.05 A.

The input current Ip for the plug-in transformer for a laptop computer in amps is 0.05 A.

What is the function of transformer?

The primary winding of the transformer converts the electric power into the magnetic power, and the secondary winding of the transformer converts it back into the required electric power.

The ratio of the input voltage to the output voltage is equal to the ratio of output current to the input current of the transformer (for 100 percent efficiency). Therefore

[tex]\dfrac{V_i}{V_o}=\dfrac{I_o}{I_i}[/tex]

The input and output voltage of the transformer is 240 V and 7.50 V respectively and the output current is 1.6 amp.

As, the efficiency of the transformer is 100 percent. Thus, put the values in the above formula as,

[tex]\dfrac{240}{7.50}=\dfrac{1.6}{I_i}\\I_i=0.05\rm A[/tex]

Thus, the input current Ip for the plug-in transformer for a laptop computer in amps is 0.05 A.

Learn more about the transformer here;

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