J & K CET Medical J & K - CET Medical Solved Paper-2003

  • question_answer
    A transformer is used to light a 140 W, 24 V lamp from 240 V AC mains. The current in the mains cable of 0.7 A. The efficiency of the transformer is:

    A)  48%                                      

    B)  63.8%

    C) c) 83.3%                                              

    D)  90%

    Correct Answer: C

    Solution :

                    The amplitude of the voltage induced in the secondary is dependent upon the efficiency of the transformer and the turns ratio. Efficiency\[=\frac{{{P}_{out}}}{{{P}_{in}}}\times 100\] Also, Power (P) = Voltage (V)\[\times \]Current (J) \[\therefore \]  Efficiency \[=\frac{{{V}_{s}}{{I}_{s}}}{{{V}_{p}}{{I}_{p}}}\times 100\] Given, \[{{P}_{out}}={{V}_{s}}{{I}_{s}}=140\,W,\,{{P}_{in}}=240\times 0.7\] \[\therefore \]Efficiency\[=\frac{140}{240\times 0.7}\times 100=83.3%\]


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