Haryana PMT Haryana PMT Solved Paper-2011

  • question_answer
    The quality factor (Q value) of the circuit, when                 a series resonant circuit contains \[\text{L=}\frac{\text{5}}{\text{ }\!\!\pi\!\!\text{ }}\text{mH,}\,\text{C=}\frac{\text{200}}{\text{ }\!\!\pi\!\!\text{ }}\text{ }\!\!\mu\!\!\text{ F}\]and R= 100 \[\Omega \], will be  (source of emf e =200 sin 100 \[\pi \]t is applied to                 the circuit)

    A)                  \[5\times {{10}^{-2}}\]                 

    B)  \[5\times {{10}^{-5}}\]

    C)                  \[\left( \frac{5}{\pi } \right){{10}^{-5}}\]                              

    D)  \[\left( \frac{5}{\pi } \right){{10}^{-2}}\]

    Correct Answer: A

    Solution :

                    Quality factor is given by                 \[Q=\frac{\varpi L}{R}\]                 \[\frac{1000\pi \times \frac{5}{\pi }\times {{10}^{-3}}}{100}\]                 \[=5\times {{10}^{-2}}\]


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