BHU PMT BHU PMT Solved Paper-2001

  • question_answer
    In a transformer, the number of turns of primary coil and secondary coil are 5 and 4 respectively. If 220 V is applied on the primary coil, then the ratio of primary current to the secondary current will be:

    A)  \[9:5\]                                 

    B)  \[5:9\]

    C)  \[5:4\]                                 

    D)  \[4:5\]

    Correct Answer: D

    Solution :

    Key Idea:  In a transformer Power in primary=Power in secondary. If \[{{i}_{p}}\] and \[{{i}_{s}}\] be the currents in the primary and secondary at any instant and the energy losses be zero, then Power in secondary = Power in primary \[{{v}_{s}}\times {{i}_{s}}={{V}_{P}}\times {{i}_{P}}\] \[\Rightarrow \]       \[\frac{{{i}_{p}}}{{{i}_{s}}}=\frac{{{V}_{s}}}{{{V}_{p}}}=\frac{{{N}_{s}}}{{{N}_{p}}}=r=\]Transformer ratio Given, \[{{N}_{p}}=5,\,\,{{N}_{s}}=4,\,\,{{V}_{p}}=220\,V\] \[\therefore \]                  \[\frac{{{i}_{p}}}{{{i}_{s}}}=\frac{{{N}_{s}}}{{{N}_{p}}}=\frac{4}{5}\] \[\Rightarrow \]                               \[{{i}_{p}}:{{i}_{s}}=4:5\] Note: Since number of turns is secondary is less than that in primary, hence it is a step-down transformer.


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