RAJASTHAN PMT Rajasthan - PMT Solved Paper-2008

  • question_answer
    A transformer is used to light a 100 W and 110 V lamp from a 220 V mains. If the main current is 0.5 A, the efficiency of the transformer is approximately

    A)  30%                                      

    B)  50%

    C)  90%                      

    D)         10%

    Correct Answer: C

    Solution :

    The efficiency of transformer \[\text{=}\frac{\text{Energy}\,\,\text{obtained}\,\,\text{the}\,\,\text{secondary}\,\,\text{coil}}{\text{Energy}\,\,\text{given}\,\,\text{to}\,\,\text{the}\,\,\text{primary}\,\,\text{coil}}\] or            \[\text{=}\frac{\text{Output}\,\,\text{power}}{\text{Input}\,\,\text{power}}\] or            \[\eta =\frac{{{V}_{s}}{{I}_{s}}}{{{V}_{p}}{{I}_{p}}}\] Given,   \[{{V}_{s}}{{I}_{s}}=100\,\,W,\,\,{{V}_{p}}=220\,\,V,\,\,{{I}_{p}}=0.5\,\,A\] Hence,  \[\eta =\frac{100}{220\times 0.5}=0.90=90%\] Note The efficiency of an ideal transformer is (or\[100%\]). But in practice due to loss in energy, the efficiency of transformer is always less than 1 (or less than\[100%\]).


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