J & K CET Engineering J and K - CET Engineering Solved Paper-2003

  • question_answer
    A transformer is used to light a 140 W, \[24\text{ }V\] lamp from \[240\text{ }VAC\]mains. The current in the mains cable of \[0.7\text{ }A\]. The efficiency of the transformer is

    A)  \[48%\]        

    B)  \[63.8%\]

    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,    \[Power\,(P)=Voltage\text{ (V) }\times \text{ }Current\text{ (J)}\] \[\therefore \]    Efficiency \[=\frac{{{V}_{S}}{{I}_{S}}}{{{V}_{P}}{{I}_{P}}}\times 100\] Given,   \[{{P}_{out}}={{V}_{S}}{{I}_{S}}=140W,\,\,{{P}_{m}}=240\times 0.7\] \[\therefore \] Efficiency  \[=\frac{140}{240\times 0.7}\times 100=83.3%\]


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