CMC Medical CMC-Medical VELLORE Solved Paper-2012

  • question_answer
    If a resistance of R\[\Omega \] is connected in series with an inductor L and the phase angle between voltage and current is \[\frac{\pi }{4},\]then the value of inductive reactance is

    A)  zero                                     

    B)  \[R\]

    C)  \[\frac{R}{2}\]                                 

    D)  \[\frac{R}{4}\]

    Correct Answer: B

    Solution :

                    For a series LR, AC circuit, \[\tan \phi =\frac{{{X}_{L}}}{R}\] \[\Rightarrow \]               \[\tan \frac{\pi }{4}=\frac{{{X}_{L}}}{R}\] \[\Rightarrow \]               \[1=\frac{{{X}_{L}}}{R}\]or \[{{X}_{L}}=R\]


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