RAJASTHAN PMT Rajasthan - PMT Solved Paper-2009

  • question_answer
    In a step up transformer the turn ratio is 1 : 10. A resistance of\[200\,\Omega \]connected across the secondary is drawing a current of 0.5 A. What is the primary voltage and current?

    A)  50 V, 1 A                             

    B)  10 V, 5 A

    C)  25 V, 4 A             

    D)         20 V, 2 A

    Correct Answer: B

    Solution :

    Given,\[{{N}_{p}}:{{N}_{s}}=1:10\]                 \[{{V}_{s}}={{I}_{s}}\times R\]                 \[=0.5\times 200=100\,\,volt\]                 \[{{V}_{p}}=?,{{I}_{p}}=?\] Transformation ratio                 \[k=\frac{{{N}_{s}}}{{{N}_{p}}}=\frac{{{V}_{s}}}{{{V}_{p}}}=\frac{{{I}_{p}}}{{{I}_{s}}}\] \[\therefore \]  \[\frac{10}{1}=\frac{100}{{{V}_{p}}}\]                 \[{{V}_{p}}=10\,\,volt\] Again,   \[\frac{10}{1}=\frac{{{I}_{p}}}{0.5}\]                 \[{{I}_{p}}=5\,\,A\]


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