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Given the Input Current 15 a and the Input Voltage of 100 V for a Step-up Transformer Having 90% Efficiency, Find the Output Power and the Voltage in the Secondary If the Output Current is 3 A. - Physics

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Question

Given the input current 15 A and the input voltage of 100 V for a step-up transformer having 90% efficiency, find the output power and the voltage in the secondary if the output current is 3 A.  

Solution

\[\text { Input current } = 15 A\]

\[\text { Input voltage } = 100 V\]

\[efficiency = 90 % = 90/100\]

\[\frac{\text { Output power }}{\text { Input power}} = 0 . 9\]

\[\frac{\text { Output power }}{\text { Input voltage}  \text { times Input current }} = \frac{\text { Output power}}{15 \times 100} = 0 . 9\]

\[\text { Output power} = 15 \times 100 \times 0 . 9 = 1350 W\]

\[\text { Outpur current} = 3 A\]

\[\text { Output voltage } = \frac{\text { Output power}}{\text { Output current}} = \frac{1350}{3} = 450 V\]

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2016-2017 (March) Foreign Set 3

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